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<p><code>#include <<a class="el" href="../../db/d60/opennurbs__bezier_8h_source.html">opennurbs_bezier.h</a>></code></p>
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<table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
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Public Member Functions</h2></td></tr>
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<tr class="memitem:a30890306c8d1a833f8afdb800359c9bd"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a30890306c8d1a833f8afdb800359c9bd">ON_BezierCurve</a> ()</td></tr>
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<tr class="separator:a30890306c8d1a833f8afdb800359c9bd"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a2c3777383747d6c7f8077feb4288b241"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a2c3777383747d6c7f8077feb4288b241">ON_BezierCurve</a> (int dim, bool bIsRational, int order)</td></tr>
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<tr class="memdesc:a2c3777383747d6c7f8077feb4288b241"><td class="mdescLeft"> </td><td class="mdescRight">Creates a bezier with cv memory allocated. <a href="#a2c3777383747d6c7f8077feb4288b241">More...</a><br /></td></tr>
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<tr class="separator:a2c3777383747d6c7f8077feb4288b241"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a34e2641a404cdea65f9d8379d60258d4"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a34e2641a404cdea65f9d8379d60258d4">ON_BezierCurve</a> (const <a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a> &)</td></tr>
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<tr class="separator:a34e2641a404cdea65f9d8379d60258d4"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:aa71f8f362638525a861f35d499e5df56"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#aa71f8f362638525a861f35d499e5df56">ON_BezierCurve</a> (const <a class="el" href="../../d1/d97/class_o_n___polynomial_curve.html">ON_PolynomialCurve</a> &)</td></tr>
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<tr class="memitem:ad2ce0c7eeb20c7f2da68534d79e35498"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#ad2ce0c7eeb20c7f2da68534d79e35498">ON_BezierCurve</a> (const <a class="el" href="../../d0/dcd/class_o_n__2d_point_array.html">ON_2dPointArray</a> &)</td></tr>
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<tr class="separator:ad2ce0c7eeb20c7f2da68534d79e35498"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:acd77f8ce43d1c9420da6ee34c4978179"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#acd77f8ce43d1c9420da6ee34c4978179">ON_BezierCurve</a> (const <a class="el" href="../../d9/d13/class_o_n__3d_point_array.html">ON_3dPointArray</a> &)</td></tr>
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<tr class="separator:acd77f8ce43d1c9420da6ee34c4978179"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ab1e90bfba67a3aa2f0a60c5279a564dd"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#ab1e90bfba67a3aa2f0a60c5279a564dd">ON_BezierCurve</a> (const <a class="el" href="../../d2/d9b/class_o_n__4d_point_array.html">ON_4dPointArray</a> &)</td></tr>
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<tr class="separator:ab1e90bfba67a3aa2f0a60c5279a564dd"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a29fcd57cd6f27f9384fde7dd97099357"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a29fcd57cd6f27f9384fde7dd97099357">~ON_BezierCurve</a> ()</td></tr>
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<tr class="separator:a29fcd57cd6f27f9384fde7dd97099357"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a9a997f4da75f6c101e8ee9203ce4a939"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d1/d17/class_o_n___bounding_box.html">ON_BoundingBox</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a9a997f4da75f6c101e8ee9203ce4a939">BoundingBox</a> () const</td></tr>
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<tr class="memdesc:a9a997f4da75f6c101e8ee9203ce4a939"><td class="mdescLeft"> </td><td class="mdescRight">Gets bounding box. <a href="#a9a997f4da75f6c101e8ee9203ce4a939">More...</a><br /></td></tr>
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<tr class="separator:a9a997f4da75f6c101e8ee9203ce4a939"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a1e2e636a15d4db9a6848c9fd38812abb"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a1e2e636a15d4db9a6848c9fd38812abb">ChangeDimension</a> (int desired_dimension)</td></tr>
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<tr class="memdesc:a1e2e636a15d4db9a6848c9fd38812abb"><td class="mdescLeft"> </td><td class="mdescRight">Change dimension of bezier. <a href="#a1e2e636a15d4db9a6848c9fd38812abb">More...</a><br /></td></tr>
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<tr class="separator:a1e2e636a15d4db9a6848c9fd38812abb"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a630ac3e622db3334bad8043ea6a06eb3"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a630ac3e622db3334bad8043ea6a06eb3">ChangeWeights</a> (int i0, double w0, int i1, double w1)</td></tr>
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<tr class="memdesc:a630ac3e622db3334bad8043ea6a06eb3"><td class="mdescLeft"> </td><td class="mdescRight">Use a combination of scaling and reparameterization to set two rational Bezier weights to specified values. <a href="#a630ac3e622db3334bad8043ea6a06eb3">More...</a><br /></td></tr>
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<tr class="separator:a630ac3e622db3334bad8043ea6a06eb3"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a491702ee8fae3e2c3d08fd3b43197eb4"><td class="memItemLeft" align="right" valign="top">const <a class="el" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a491702ee8fae3e2c3d08fd3b43197eb4">ControlPoint</a> (int cv_index) const</td></tr>
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<tr class="separator:a491702ee8fae3e2c3d08fd3b43197eb4"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:acc6d8d148c6110614a6c341b0b9f3607"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#acc6d8d148c6110614a6c341b0b9f3607">ControlPolygonLength</a> () const</td></tr>
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<tr class="memdesc:acc6d8d148c6110614a6c341b0b9f3607"><td class="mdescLeft"> </td><td class="mdescRight">returns the length of the control polygon <a href="#acc6d8d148c6110614a6c341b0b9f3607">More...</a><br /></td></tr>
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<tr class="separator:acc6d8d148c6110614a6c341b0b9f3607"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a076efeba8280521673d23dea134f169d"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a076efeba8280521673d23dea134f169d">Create</a> (int dim, bool bIsRational, int order)</td></tr>
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<tr class="memdesc:a076efeba8280521673d23dea134f169d"><td class="mdescLeft"> </td><td class="mdescRight">Creates a bezier with cv memory allocated. <a href="#a076efeba8280521673d23dea134f169d">More...</a><br /></td></tr>
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<tr class="separator:a076efeba8280521673d23dea134f169d"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a8292eaf36e69f37c1e64785edf9c5f4c"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a8292eaf36e69f37c1e64785edf9c5f4c">CurvatureAt</a> (double t) const</td></tr>
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<tr class="memdesc:a8292eaf36e69f37c1e64785edf9c5f4c"><td class="mdescLeft"> </td><td class="mdescRight">Evaluate the curvature vector at a parameter. <a href="#a8292eaf36e69f37c1e64785edf9c5f4c">More...</a><br /></td></tr>
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<tr class="separator:a8292eaf36e69f37c1e64785edf9c5f4c"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:adf3ed73e3b7e47c132724ed26d96882f"><td class="memItemLeft" align="right" valign="top">double * </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#adf3ed73e3b7e47c132724ed26d96882f">CV</a> (int cv_index) const</td></tr>
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<tr class="memdesc:adf3ed73e3b7e47c132724ed26d96882f"><td class="mdescLeft"> </td><td class="mdescRight">Expert user function to get a pointer to control vertex memory. If you are not an expert user, please use ON_BezierCurve::GetCV( ON_3dPoint& ) or ON_BezierCurve::GetCV( ON_4dPoint& ). <a href="#adf3ed73e3b7e47c132724ed26d96882f">More...</a><br /></td></tr>
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<tr class="separator:adf3ed73e3b7e47c132724ed26d96882f"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:adefdaed25e9aa0b7fde2c4209d0bdbfd"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#adefdaed25e9aa0b7fde2c4209d0bdbfd">CVCount</a> () const</td></tr>
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<tr class="memitem:a8826c25a65fd46596c11ed6981e50108"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a8826c25a65fd46596c11ed6981e50108">CVSize</a> () const</td></tr>
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<tr class="memitem:a59cc73d69a29cd166b04be42c7f15f17"><td class="memItemLeft" align="right" valign="top">ON::point_style </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a59cc73d69a29cd166b04be42c7f15f17">CVStyle</a> () const</td></tr>
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<tr class="memdesc:a59cc73d69a29cd166b04be42c7f15f17"><td class="mdescLeft"> </td><td class="mdescRight">Returns the style of control vertices in the m_cv array. <a href="#a59cc73d69a29cd166b04be42c7f15f17">More...</a><br /></td></tr>
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<tr class="separator:a59cc73d69a29cd166b04be42c7f15f17"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a4fe8d5eaf3cb076a52a2fed82dd88478"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a4fe8d5eaf3cb076a52a2fed82dd88478">Degree</a> () const</td></tr>
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<tr class="memitem:ad2ff88ca1a4e42f05b4ed32411f206a0"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#ad2ff88ca1a4e42f05b4ed32411f206a0">DerivativeAt</a> (double t) const</td></tr>
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<tr class="memdesc:ad2ff88ca1a4e42f05b4ed32411f206a0"><td class="mdescLeft"> </td><td class="mdescRight">Evaluate first derivative at a parameter. <a href="#ad2ff88ca1a4e42f05b4ed32411f206a0">More...</a><br /></td></tr>
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<tr class="memitem:a585a866af061203c5b2d46ee2b9aa2a7"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a585a866af061203c5b2d46ee2b9aa2a7">Destroy</a> ()</td></tr>
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<tr class="memdesc:a585a866af061203c5b2d46ee2b9aa2a7"><td class="mdescLeft"> </td><td class="mdescRight">Deallocates m_cv memory. <a href="#a585a866af061203c5b2d46ee2b9aa2a7">More...</a><br /></td></tr>
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<tr class="separator:a585a866af061203c5b2d46ee2b9aa2a7"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a6b0dcef0e68a44f5b0d7e8c67022a7fe"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a6b0dcef0e68a44f5b0d7e8c67022a7fe">Dimension</a> () const</td></tr>
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<tr class="memitem:a1b41eb9a733ebc52e59fe11a62bd0104"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a1b41eb9a733ebc52e59fe11a62bd0104">Domain</a> () const</td></tr>
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<tr class="memitem:afbc9591499cfe8a045cbd2a09486592f"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#afbc9591499cfe8a045cbd2a09486592f">Dump</a> (<a class="el" href="../../d2/da3/class_o_n___text_log.html">ON_TextLog</a> &) const</td></tr>
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<tr class="memitem:a28db34743881ef2377284a0356388aa9"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a28db34743881ef2377284a0356388aa9">EmergencyDestroy</a> ()</td></tr>
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<tr class="memitem:a3ba587a0b21ef9581bc5c003cc57553f"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a3ba587a0b21ef9581bc5c003cc57553f">Ev1Der</a> (double t, <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &point, <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &first_derivative) const</td></tr>
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<tr class="memdesc:a3ba587a0b21ef9581bc5c003cc57553f"><td class="mdescLeft"> </td><td class="mdescRight">Evaluate first derivative at a parameter with error checking. <a href="#a3ba587a0b21ef9581bc5c003cc57553f">More...</a><br /></td></tr>
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<tr class="separator:a3ba587a0b21ef9581bc5c003cc57553f"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a0fc29c51047bc606a8afce9f530ff8e7"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a0fc29c51047bc606a8afce9f530ff8e7">Ev2Der</a> (double t, <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &point, <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &first_derivative, <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &second_derivative) const</td></tr>
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<tr class="memdesc:a0fc29c51047bc606a8afce9f530ff8e7"><td class="mdescLeft"> </td><td class="mdescRight">Evaluate second derivative at a parameter with error checking. <a href="#a0fc29c51047bc606a8afce9f530ff8e7">More...</a><br /></td></tr>
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<tr class="separator:a0fc29c51047bc606a8afce9f530ff8e7"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a506fe2ae579c1bb2dfb7ee9fdac96eae"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a506fe2ae579c1bb2dfb7ee9fdac96eae">Evaluate</a> (double t, int der_count, int v_stride, double *v) const</td></tr>
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<tr class="memdesc:a506fe2ae579c1bb2dfb7ee9fdac96eae"><td class="mdescLeft"> </td><td class="mdescRight">Evaluate a bezier. <a href="#a506fe2ae579c1bb2dfb7ee9fdac96eae">More...</a><br /></td></tr>
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<tr class="separator:a506fe2ae579c1bb2dfb7ee9fdac96eae"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ae1704492fbab1935dc514e07e62e7bf3"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#ae1704492fbab1935dc514e07e62e7bf3">EvCurvature</a> (double t, <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &point, <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &tangent, <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &kappa) const</td></tr>
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<tr class="memdesc:ae1704492fbab1935dc514e07e62e7bf3"><td class="mdescLeft"> </td><td class="mdescRight">Evaluate unit tangent and curvature at a parameter with error checking. <a href="#ae1704492fbab1935dc514e07e62e7bf3">More...</a><br /></td></tr>
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<tr class="separator:ae1704492fbab1935dc514e07e62e7bf3"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a7f9c7141aba78552ad63ba19189dc7e8"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a7f9c7141aba78552ad63ba19189dc7e8">EvPoint</a> (double t, <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &point) const</td></tr>
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<tr class="memdesc:a7f9c7141aba78552ad63ba19189dc7e8"><td class="mdescLeft"> </td><td class="mdescRight">Evaluate point at a parameter with error checking. <a href="#a7f9c7141aba78552ad63ba19189dc7e8">More...</a><br /></td></tr>
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<tr class="separator:a7f9c7141aba78552ad63ba19189dc7e8"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a6b6efa0d2e9ef8812701bd6cefdaf880"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a6b6efa0d2e9ef8812701bd6cefdaf880">EvTangent</a> (double t, <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &point, <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &tangent) const</td></tr>
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<tr class="memdesc:a6b6efa0d2e9ef8812701bd6cefdaf880"><td class="mdescLeft"> </td><td class="mdescRight">Evaluate unit tangent at a parameter with error checking. <a href="#a6b6efa0d2e9ef8812701bd6cefdaf880">More...</a><br /></td></tr>
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<tr class="separator:a6b6efa0d2e9ef8812701bd6cefdaf880"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a8889fb447e769a16294957388951aa32"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a8889fb447e769a16294957388951aa32">GetBBox</a> (double *box_min, double *box_max, bool bGrowBox=false) const</td></tr>
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<tr class="memdesc:a8889fb447e769a16294957388951aa32"><td class="mdescLeft"> </td><td class="mdescRight">Gets bounding box. <a href="#a8889fb447e769a16294957388951aa32">More...</a><br /></td></tr>
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<tr class="separator:a8889fb447e769a16294957388951aa32"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a7333494a5d1069a9a413617449c273b3"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a7333494a5d1069a9a413617449c273b3">GetBoundingBox</a> (<a class="el" href="../../d1/d17/class_o_n___bounding_box.html">ON_BoundingBox</a> &bbox, int bGrowBox=false) const</td></tr>
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<tr class="memdesc:a7333494a5d1069a9a413617449c273b3"><td class="mdescLeft"> </td><td class="mdescRight">Gets bounding box. <a href="#a7333494a5d1069a9a413617449c273b3">More...</a><br /></td></tr>
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<tr class="separator:a7333494a5d1069a9a413617449c273b3"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a38d647951d5711ca8e832dcbc90c7792"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a38d647951d5711ca8e832dcbc90c7792">GetCV</a> (int cv_index, ON::point_style pointstyle, double *cv) const</td></tr>
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<tr class="memdesc:a38d647951d5711ca8e832dcbc90c7792"><td class="mdescLeft"> </td><td class="mdescRight">Get location of a control vertex. <a href="#a38d647951d5711ca8e832dcbc90c7792">More...</a><br /></td></tr>
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<tr class="separator:a38d647951d5711ca8e832dcbc90c7792"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a274cb0b63da5ab4da7bd136806034242"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a274cb0b63da5ab4da7bd136806034242">GetCV</a> (int cv_index, <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &point) const</td></tr>
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<tr class="memdesc:a274cb0b63da5ab4da7bd136806034242"><td class="mdescLeft"> </td><td class="mdescRight">Get location of a control vertex. <a href="#a274cb0b63da5ab4da7bd136806034242">More...</a><br /></td></tr>
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<tr class="separator:a274cb0b63da5ab4da7bd136806034242"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:aaa75b2a645c3506e88892e1a745a701e"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#aaa75b2a645c3506e88892e1a745a701e">GetCV</a> (int cv_index, <a class="el" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a> &point) const</td></tr>
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<tr class="memdesc:aaa75b2a645c3506e88892e1a745a701e"><td class="mdescLeft"> </td><td class="mdescRight">Get value of a control vertex. <a href="#aaa75b2a645c3506e88892e1a745a701e">More...</a><br /></td></tr>
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<tr class="separator:aaa75b2a645c3506e88892e1a745a701e"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ae96dc2bc03c72815c7453f9b2d3e1cda"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#ae96dc2bc03c72815c7453f9b2d3e1cda">GetNurbForm</a> (<a class="el" href="../../d3/d6a/class_o_n___nurbs_curve.html">ON_NurbsCurve</a> &nurbs_curve) const</td></tr>
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<tr class="memdesc:ae96dc2bc03c72815c7453f9b2d3e1cda"><td class="mdescLeft"> </td><td class="mdescRight">Get <a class="el" href="../../d3/d6a/class_o_n___nurbs_curve.html">ON_NurbsCurve</a> form of a bezier. <a href="#ae96dc2bc03c72815c7453f9b2d3e1cda">More...</a><br /></td></tr>
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<tr class="separator:ae96dc2bc03c72815c7453f9b2d3e1cda"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a3854ed0083cd4ef0eb0e0662a913bf23"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a3854ed0083cd4ef0eb0e0662a913bf23">GetTightBoundingBox</a> (<a class="el" href="../../d1/d17/class_o_n___bounding_box.html">ON_BoundingBox</a> &tight_bbox, bool bGrowBox=false, const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> *xform=nullptr) const</td></tr>
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<tr class="memdesc:a3854ed0083cd4ef0eb0e0662a913bf23"><td class="mdescLeft"> </td><td class="mdescRight">Get tight bounding box of the bezier. <a href="#a3854ed0083cd4ef0eb0e0662a913bf23">More...</a><br /></td></tr>
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<tr class="separator:a3854ed0083cd4ef0eb0e0662a913bf23"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a5e8e7efcb8ed6663bba389cd9edf7b89"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a5e8e7efcb8ed6663bba389cd9edf7b89">IncreaseDegree</a> (int desired_degree)</td></tr>
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<tr class="memdesc:a5e8e7efcb8ed6663bba389cd9edf7b89"><td class="mdescLeft"> </td><td class="mdescRight">Increase degree of bezier. <a href="#a5e8e7efcb8ed6663bba389cd9edf7b89">More...</a><br /></td></tr>
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<tr class="separator:a5e8e7efcb8ed6663bba389cd9edf7b89"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:adc17ead6f3198cc96001ea0bc60852a3"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#adc17ead6f3198cc96001ea0bc60852a3">IsRational</a> () const</td></tr>
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<tr class="separator:adc17ead6f3198cc96001ea0bc60852a3"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ae3816923c2564c61fc7a5822c2523dee"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#ae3816923c2564c61fc7a5822c2523dee">IsValid</a> () const</td></tr>
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<tr class="separator:ae3816923c2564c61fc7a5822c2523dee"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a60a786c2cf254f997a0a701b16db79da"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a60a786c2cf254f997a0a701b16db79da">Loft</a> (const <a class="el" href="../../d9/d13/class_o_n__3d_point_array.html">ON_3dPointArray</a> &points)</td></tr>
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<tr class="memdesc:a60a786c2cf254f997a0a701b16db79da"><td class="mdescLeft"> </td><td class="mdescRight">Loft a bezier curve through a list of points. <a href="#a60a786c2cf254f997a0a701b16db79da">More...</a><br /></td></tr>
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<tr class="separator:a60a786c2cf254f997a0a701b16db79da"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ac6f952cc483b85fd093b7ff31d35db52"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#ac6f952cc483b85fd093b7ff31d35db52">Loft</a> (int pt_dim, int pt_count, int pt_stride, const double *pt, int t_stride, const double *t)</td></tr>
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<tr class="memdesc:ac6f952cc483b85fd093b7ff31d35db52"><td class="mdescLeft"> </td><td class="mdescRight">Loft a bezier curve through a list of points. <a href="#ac6f952cc483b85fd093b7ff31d35db52">More...</a><br /></td></tr>
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<tr class="separator:ac6f952cc483b85fd093b7ff31d35db52"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a10eaf62c02829172277d53885848251b"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a10eaf62c02829172277d53885848251b">MakeNonRational</a> ()</td></tr>
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<tr class="memdesc:a10eaf62c02829172277d53885848251b"><td class="mdescLeft"> </td><td class="mdescRight">Make beizer not rational by setting all control vertices to their euclidean locations and setting m_is_rat to false. <a href="#a10eaf62c02829172277d53885848251b">More...</a><br /></td></tr>
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<tr class="separator:a10eaf62c02829172277d53885848251b"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a1511bd913d07d30640d4e2c9819e78c0"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a1511bd913d07d30640d4e2c9819e78c0">MakeRational</a> ()</td></tr>
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<tr class="memdesc:a1511bd913d07d30640d4e2c9819e78c0"><td class="mdescLeft"> </td><td class="mdescRight">Make beizer rational. <a href="#a1511bd913d07d30640d4e2c9819e78c0">More...</a><br /></td></tr>
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<tr class="separator:a1511bd913d07d30640d4e2c9819e78c0"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a656285f922e3291ad4d13833fffbba64"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a656285f922e3291ad4d13833fffbba64">operator=</a> (const <a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a> &)</td></tr>
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<tr class="memitem:a191ee9a7d327ed8d20e90e9bc178398f"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a191ee9a7d327ed8d20e90e9bc178398f">operator=</a> (const <a class="el" href="../../d1/d97/class_o_n___polynomial_curve.html">ON_PolynomialCurve</a> &)</td></tr>
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<tr class="memitem:a9ba606a6656f6cac42e14eecfeef7f15"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a9ba606a6656f6cac42e14eecfeef7f15">operator=</a> (const <a class="el" href="../../d0/dcd/class_o_n__2d_point_array.html">ON_2dPointArray</a> &)</td></tr>
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<tr class="memitem:a9665af5e5a20c5d385b93ee529097ad5"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a9665af5e5a20c5d385b93ee529097ad5">operator=</a> (const <a class="el" href="../../d9/d13/class_o_n__3d_point_array.html">ON_3dPointArray</a> &)</td></tr>
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<tr class="memitem:aa41ab797eef67cc94e41b1bfd1951af9"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#aa41ab797eef67cc94e41b1bfd1951af9">operator=</a> (const <a class="el" href="../../d2/d9b/class_o_n__4d_point_array.html">ON_4dPointArray</a> &)</td></tr>
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<tr class="memitem:a27f43e091fcf46b0dc62c4ea4d220a34"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a27f43e091fcf46b0dc62c4ea4d220a34">Order</a> () const</td></tr>
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<tr class="memitem:abb6c84f8927d05e34f809f62e36c9311"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#abb6c84f8927d05e34f809f62e36c9311">PointAt</a> (double t) const</td></tr>
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<tr class="memdesc:abb6c84f8927d05e34f809f62e36c9311"><td class="mdescLeft"> </td><td class="mdescRight">Evaluate point at a parameter. <a href="#abb6c84f8927d05e34f809f62e36c9311">More...</a><br /></td></tr>
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<tr class="memitem:a794bf1683770bb767ef4d95a835ab926"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a794bf1683770bb767ef4d95a835ab926">Reparameterize</a> (double c)</td></tr>
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<tr class="memdesc:a794bf1683770bb767ef4d95a835ab926"><td class="mdescLeft"> </td><td class="mdescRight">Use a linear fractional tranformation for [0,1] to reparameterize the bezier. The locus of the curve is not changed, but the parameterization is changed. <a href="#a794bf1683770bb767ef4d95a835ab926">More...</a><br /></td></tr>
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<tr class="memitem:a3f9677861f670b922db042e8494802e4"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a3f9677861f670b922db042e8494802e4">Reparametrize</a> (double)</td></tr>
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<tr class="memdesc:a3f9677861f670b922db042e8494802e4"><td class="mdescLeft"> </td><td class="mdescRight">misspelled function name is obsolete <a href="#a3f9677861f670b922db042e8494802e4">More...</a><br /></td></tr>
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<tr class="memitem:a8c6f6b3b63e96c718ca94748308a8b42"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a8c6f6b3b63e96c718ca94748308a8b42">ReserveCVCapacity</a> (int desired_cv_capacity)</td></tr>
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<tr class="memdesc:a8c6f6b3b63e96c718ca94748308a8b42"><td class="mdescLeft"> </td><td class="mdescRight">Tools for managing CV and knot memory. <a href="#a8c6f6b3b63e96c718ca94748308a8b42">More...</a><br /></td></tr>
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<tr class="separator:a8c6f6b3b63e96c718ca94748308a8b42"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a1a045711ab41e5fa4136f32bdd2ce7f1"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a1a045711ab41e5fa4136f32bdd2ce7f1">Reverse</a> ()</td></tr>
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<tr class="memdesc:a1a045711ab41e5fa4136f32bdd2ce7f1"><td class="mdescLeft"> </td><td class="mdescRight">Reverses bezier by reversing the order of the control points. <a href="#a1a045711ab41e5fa4136f32bdd2ce7f1">More...</a><br /></td></tr>
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<tr class="separator:a1a045711ab41e5fa4136f32bdd2ce7f1"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a4811cd3bd1387c344a4f47275f7082c7"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a4811cd3bd1387c344a4f47275f7082c7">Rotate</a> (double sin_angle, double cos_angle, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &rotation_axis, const <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &rotation_center)</td></tr>
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<tr class="memdesc:a4811cd3bd1387c344a4f47275f7082c7"><td class="mdescLeft"> </td><td class="mdescRight">Rotates the bezier curve about the specified axis. A positive rotation angle results in a counter-clockwise rotation about the axis (right hand rule). <a href="#a4811cd3bd1387c344a4f47275f7082c7">More...</a><br /></td></tr>
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<tr class="separator:a4811cd3bd1387c344a4f47275f7082c7"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a55e645d31770aa341c818a79fb2e3736"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a55e645d31770aa341c818a79fb2e3736">Rotate</a> (double rotation_angle, const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &rotation_axis, const <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &rotation_center)</td></tr>
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<tr class="memdesc:a55e645d31770aa341c818a79fb2e3736"><td class="mdescLeft"> </td><td class="mdescRight">Rotates the bezier curve about the specified axis. A positive rotation angle results in a counter-clockwise rotation about the axis (right hand rule). <a href="#a55e645d31770aa341c818a79fb2e3736">More...</a><br /></td></tr>
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<tr class="memitem:ab498533a619bae4a28d9bfc9222a6798"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#ab498533a619bae4a28d9bfc9222a6798">Scale</a> (double scale_factor)</td></tr>
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<tr class="memdesc:ab498533a619bae4a28d9bfc9222a6798"><td class="mdescLeft"> </td><td class="mdescRight">Scales the bezier curve by the specified facotor. The scale is centered at the origin. <a href="#ab498533a619bae4a28d9bfc9222a6798">More...</a><br /></td></tr>
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<tr class="memitem:af01d2f24a8ff758e8289b3498fe0b47a"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#af01d2f24a8ff758e8289b3498fe0b47a">ScaleConrolPoints</a> (int i, double w)</td></tr>
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<tr class="memdesc:af01d2f24a8ff758e8289b3498fe0b47a"><td class="mdescLeft"> </td><td class="mdescRight">Scale a rational Bezier's control vertices to set a weight to a specified value. <a href="#af01d2f24a8ff758e8289b3498fe0b47a">More...</a><br /></td></tr>
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<tr class="memitem:a37e7f759538be4bb476e4b24a76a216d"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a37e7f759538be4bb476e4b24a76a216d">SetCV</a> (int cv_index, ON::point_style pointstyle, const double *cv)</td></tr>
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<tr class="memdesc:a37e7f759538be4bb476e4b24a76a216d"><td class="mdescLeft"> </td><td class="mdescRight">Set control vertex <a href="#a37e7f759538be4bb476e4b24a76a216d">More...</a><br /></td></tr>
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<tr class="memitem:a418584ac8f35633553c0e0faeb57cc04"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a418584ac8f35633553c0e0faeb57cc04">SetCV</a> (int cv_index, const <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> &point)</td></tr>
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<tr class="memdesc:a418584ac8f35633553c0e0faeb57cc04"><td class="mdescLeft"> </td><td class="mdescRight">Set location of a control vertex. <a href="#a418584ac8f35633553c0e0faeb57cc04">More...</a><br /></td></tr>
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<tr class="memitem:a9d84efc04b801b0d5c3c87368d42f64f"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a9d84efc04b801b0d5c3c87368d42f64f">SetCV</a> (int cv_index, const <a class="el" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a> &point)</td></tr>
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<tr class="memdesc:a9d84efc04b801b0d5c3c87368d42f64f"><td class="mdescLeft"> </td><td class="mdescRight">Set value of a control vertex. <a href="#a9d84efc04b801b0d5c3c87368d42f64f">More...</a><br /></td></tr>
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<tr class="memitem:a63b12855581ab2fa7fccaddb605207fe"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a63b12855581ab2fa7fccaddb605207fe">SetWeight</a> (int cv_index, double weight)</td></tr>
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<tr class="memdesc:a63b12855581ab2fa7fccaddb605207fe"><td class="mdescLeft"> </td><td class="mdescRight">Set weight of a control vertex. <a href="#a63b12855581ab2fa7fccaddb605207fe">More...</a><br /></td></tr>
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<tr class="memitem:a57d6ce22e7838a408cadcdeb24c27093"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a57d6ce22e7838a408cadcdeb24c27093">Split</a> (double t, <a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a> &left_side, <a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a> &right_side) const</td></tr>
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<tr class="memdesc:a57d6ce22e7838a408cadcdeb24c27093"><td class="mdescLeft"> </td><td class="mdescRight"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a57d6ce22e7838a408cadcdeb24c27093" title="Split() divides the Bezier curve at the specified parameter. The parameter must satisfy 0 < t < 1...">Split()</a> divides the Bezier curve at the specified parameter. The parameter must satisfy 0 < t < 1. You may pass *this as one of the curves to be returned. <a href="#a57d6ce22e7838a408cadcdeb24c27093">More...</a><br /></td></tr>
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<tr class="memitem:a7350035dd2b6e7f8b2d10973095e28fd"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a7350035dd2b6e7f8b2d10973095e28fd">TangentAt</a> (double t) const</td></tr>
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<tr class="memdesc:a7350035dd2b6e7f8b2d10973095e28fd"><td class="mdescLeft"> </td><td class="mdescRight">Evaluate unit tangent vector at a parameter. <a href="#a7350035dd2b6e7f8b2d10973095e28fd">More...</a><br /></td></tr>
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<tr class="memitem:a303c5e51344dd2375c44661e415f460f"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a303c5e51344dd2375c44661e415f460f">Transform</a> (const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> &xform)</td></tr>
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<tr class="memdesc:a303c5e51344dd2375c44661e415f460f"><td class="mdescLeft"> </td><td class="mdescRight">Transform the bezier. <a href="#a303c5e51344dd2375c44661e415f460f">More...</a><br /></td></tr>
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<tr class="separator:a303c5e51344dd2375c44661e415f460f"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ab6a239661b33a5d44f200fe75dadb3b5"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#ab6a239661b33a5d44f200fe75dadb3b5">Translate</a> (const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> &translation_vector)</td></tr>
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<tr class="memdesc:ab6a239661b33a5d44f200fe75dadb3b5"><td class="mdescLeft"> </td><td class="mdescRight">Translates the bezier curve along the specified vector. <a href="#ab6a239661b33a5d44f200fe75dadb3b5">More...</a><br /></td></tr>
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<tr class="memitem:ac2e29f8c926d7099a1763d52c640b82a"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#ac2e29f8c926d7099a1763d52c640b82a">Trim</a> (const <a class="el" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a> &interval)</td></tr>
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<tr class="memdesc:ac2e29f8c926d7099a1763d52c640b82a"><td class="mdescLeft"> </td><td class="mdescRight">Trims (or extends) the bezier so the bezier so that the result starts bezier(interval[0]) and ends at bezier(interval[1]) (Evaluation performed on input bezier.) <a href="#ac2e29f8c926d7099a1763d52c640b82a">More...</a><br /></td></tr>
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<tr class="separator:ac2e29f8c926d7099a1763d52c640b82a"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a677e2628da411e8bb88b2e9215d4c608"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a677e2628da411e8bb88b2e9215d4c608">Weight</a> (int cv_index) const</td></tr>
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<tr class="memitem:a79ea11a014c2213a5d99b2d62c29092e"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a79ea11a014c2213a5d99b2d62c29092e">ZeroCVs</a> ()</td></tr>
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<tr class="memdesc:a79ea11a014c2213a5d99b2d62c29092e"><td class="mdescLeft"> </td><td class="mdescRight">Zeros control vertices and, if rational, sets weights to 1. <a href="#a79ea11a014c2213a5d99b2d62c29092e">More...</a><br /></td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-attribs"></a>
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Public Attributes</h2></td></tr>
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<tr class="memitem:ac7232e4c49c237539c487b94d7871d5a"><td class="memItemLeft" align="right" valign="top">double * </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#ac7232e4c49c237539c487b94d7871d5a">m_cv</a></td></tr>
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<tr class="memdesc:ac7232e4c49c237539c487b94d7871d5a"><td class="mdescLeft"> </td><td class="mdescRight">The i-th cv begins at cv[i*m_cv_stride]. <a href="#ac7232e4c49c237539c487b94d7871d5a">More...</a><br /></td></tr>
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<tr class="separator:ac7232e4c49c237539c487b94d7871d5a"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:aad7b699da1da038e8f397101cd869c9b"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#aad7b699da1da038e8f397101cd869c9b">m_cv_capacity</a></td></tr>
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<tr class="memitem:ab03ddace3cf79ec060a149a698b9a350"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#ab03ddace3cf79ec060a149a698b9a350">m_cv_stride</a></td></tr>
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<tr class="memdesc:ab03ddace3cf79ec060a149a698b9a350"><td class="mdescLeft"> </td><td class="mdescRight">Number of doubles per cv ( >= ((m_is_rat)?m_dim+1:m_dim) ) <a href="#ab03ddace3cf79ec060a149a698b9a350">More...</a><br /></td></tr>
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<tr class="memitem:af642d39ca0ace27d454f58c683b65452"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#af642d39ca0ace27d454f58c683b65452">m_dim</a></td></tr>
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<tr class="memdesc:af642d39ca0ace27d454f58c683b65452"><td class="mdescLeft"> </td><td class="mdescRight">Implementation. <a href="#af642d39ca0ace27d454f58c683b65452">More...</a><br /></td></tr>
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<tr class="memitem:a987b8c9b7eeefa9332c4af5d4eb040e6"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a987b8c9b7eeefa9332c4af5d4eb040e6">m_is_rat</a></td></tr>
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<tr class="memdesc:a987b8c9b7eeefa9332c4af5d4eb040e6"><td class="mdescLeft"> </td><td class="mdescRight">1 if bezier is rational, 0 if bezier is not rational <a href="#a987b8c9b7eeefa9332c4af5d4eb040e6">More...</a><br /></td></tr>
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<tr class="memitem:aea3a891b29b89395cbe4282ef984a277"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#aea3a891b29b89395cbe4282ef984a277">m_order</a></td></tr>
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<tr class="memdesc:aea3a891b29b89395cbe4282ef984a277"><td class="mdescLeft"> </td><td class="mdescRight">order = degree+1 <a href="#aea3a891b29b89395cbe4282ef984a277">More...</a><br /></td></tr>
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<h2 class="groupheader">Constructor & Destructor Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a30890306c8d1a833f8afdb800359c9bd">◆ </a></span>ON_BezierCurve() <span class="overload">[1/7]</span></h2>
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<td class="memname">ON_BezierCurve::ON_BezierCurve </td>
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<h2 class="memtitle"><span class="permalink"><a href="#a2c3777383747d6c7f8077feb4288b241">◆ </a></span>ON_BezierCurve() <span class="overload">[2/7]</span></h2>
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<td class="memname">ON_BezierCurve::ON_BezierCurve </td>
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<td>(</td>
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<td class="paramtype">int </td>
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<p>Creates a bezier with cv memory allocated. </p>
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<tr><td class="paramname">dim</td><td>[in] (>0) dimension of bezier curve</td></tr>
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<tr><td class="paramname">bIsRational</td><td>[in] true for a rational bezier</td></tr>
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<h2 class="memtitle"><span class="permalink"><a href="#a29fcd57cd6f27f9384fde7dd97099357">◆ </a></span>~ON_BezierCurve()</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a34e2641a404cdea65f9d8379d60258d4">◆ </a></span>ON_BezierCurve() <span class="overload">[3/7]</span></h2>
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<h2 class="memtitle"><span class="permalink"><a href="#aa71f8f362638525a861f35d499e5df56">◆ </a></span>ON_BezierCurve() <span class="overload">[4/7]</span></h2>
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<td class="paramtype">const <a class="el" href="../../d1/d97/class_o_n___polynomial_curve.html">ON_PolynomialCurve</a> & </td>
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<h2 class="memtitle"><span class="permalink"><a href="#ad2ce0c7eeb20c7f2da68534d79e35498">◆ </a></span>ON_BezierCurve() <span class="overload">[5/7]</span></h2>
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<h2 class="memtitle"><span class="permalink"><a href="#acd77f8ce43d1c9420da6ee34c4978179">◆ </a></span>ON_BezierCurve() <span class="overload">[6/7]</span></h2>
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<h2 class="memtitle"><span class="permalink"><a href="#ab1e90bfba67a3aa2f0a60c5279a564dd">◆ </a></span>ON_BezierCurve() <span class="overload">[7/7]</span></h2>
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<h2 class="groupheader">Member Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a9a997f4da75f6c101e8ee9203ce4a939">◆ </a></span>BoundingBox()</h2>
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<td class="memname"><a class="el" href="../../d1/d17/class_o_n___bounding_box.html">ON_BoundingBox</a> ON_BezierCurve::BoundingBox </td>
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<p>Gets bounding box. </p>
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<dl class="section return"><dt>Returns</dt><dd>Axis aligned bounding box. </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a1e2e636a15d4db9a6848c9fd38812abb">◆ </a></span>ChangeDimension()</h2>
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<p>Change dimension of bezier. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<dl class="section return"><dt>Returns</dt><dd>true if successful. false if desired_dimension < 1 </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a630ac3e622db3334bad8043ea6a06eb3">◆ </a></span>ChangeWeights()</h2>
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<p>Use a combination of scaling and reparameterization to set two rational Bezier weights to specified values. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">i0</td><td>[in] control point index (0 <= i0 < order, i0 != i1)</td></tr>
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<tr><td class="paramname">w0</td><td>[in] Desired weight for i0-th control point</td></tr>
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<tr><td class="paramname">i1</td><td>[in] control point index (0 <= i1 < order, i0 != i1)</td></tr>
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<tr><td class="paramname">w1</td><td>[in] Desired weight for i1-th control point</td></tr>
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<dl class="section return"><dt>Returns</dt><dd>True if successful. The returned bezier has the same locus but probably has a different parameterization. </dd></dl>
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<p>The i0-th cv will have weight w0 and the i1-rst cv will have weight w1. If v0 and v1 are the cv's input weights, then v0, v1, w0 and w1 must all be nonzero, and w0*v0 and w1*v1 must have the same sign.</p>
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<p>The equations </p><pre class="fragment"> s * r^i0 = w0/v0
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s * r^i1 = w1/v1
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</pre><p>determine the scaling and reparameterization necessary to change v0,v1 to w0,w1.</p>
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<p>If the input Bezier has control vertices </p><pre class="fragment"> (B_0, ..., B_d),
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</pre><p>then the output Bezier has control vertices </p><pre class="fragment"> (s*B_0, ... s*r^i * B_i, ..., s*r^d * B_d).
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</pre> <dl class="section see"><dt>See also</dt><dd>ON_Bezier::Reparameterize, ON_Bezier::ScaleConrolPoints</dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a491702ee8fae3e2c3d08fd3b43197eb4">◆ </a></span>ControlPoint()</h2>
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<td class="memname">const <a class="el" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a> ON_BezierCurve::ControlPoint </td>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">cv_index</td><td>[in] zero based control point index</td></tr>
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<dl class="section return"><dt>Returns</dt><dd>Control point as an <a class="el" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a>. </dd></dl>
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<p>If cv_index or the bezier is not valid, then <a class="el" href="../../d9/db1/class_o_n__4d_point.html#a83f0c10fc5a0eb0d8929a66c5131e150">ON_4dPoint::Nan</a> is returned. If dim < 3, unused coordinates are zero. If dim >= 4, the first three coordinates are returned. If is_rat is false, the weight is 1. </p>
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<h2 class="memtitle"><span class="permalink"><a href="#acc6d8d148c6110614a6c341b0b9f3607">◆ </a></span>ControlPolygonLength()</h2>
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<p>returns the length of the control polygon </p>
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<h2 class="memtitle"><span class="permalink"><a href="#a076efeba8280521673d23dea134f169d">◆ </a></span>Create()</h2>
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<p>Creates a bezier with cv memory allocated. </p>
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<tr><td class="paramname">dim</td><td>[in] (>0) dimension of bezier curve</td></tr>
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<tr><td class="paramname">bIsRational</td><td>[in] true for a rational bezier</td></tr>
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<dl class="section return"><dt>Returns</dt><dd>true if successful. </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a8292eaf36e69f37c1e64785edf9c5f4c">◆ </a></span>CurvatureAt()</h2>
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<td class="memname"><a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> ON_BezierCurve::CurvatureAt </td>
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<p>Evaluate the curvature vector at a parameter. </p>
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<dl class="section return"><dt>Returns</dt><dd>curvature vector of the curve at the parameter t. </dd></dl>
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<p>No error handling. </p>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="../../d4/d5a/class_o_n___curve.html#affcb2a2551d248110c8e0dc610e6a9b1" title="Evaluate unit tangent and curvature at a parameter with error checking. ">ON_Curve::EvCurvature</a></dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#adf3ed73e3b7e47c132724ed26d96882f">◆ </a></span>CV()</h2>
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<p>Expert user function to get a pointer to control vertex memory. If you are not an expert user, please use ON_BezierCurve::GetCV( ON_3dPoint& ) or ON_BezierCurve::GetCV( ON_4dPoint& ). </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<dl class="section return"><dt>Returns</dt><dd>Pointer to control vertex. </dd></dl>
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<p>If the Bezier curve is rational, the format of the returned array is a homogeneos rational point with length m_dim+1. If the Bezier curve is not rational, the format of the returned array is a nonrational euclidean point with length m_dim. See Also <a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a59cc73d69a29cd166b04be42c7f15f17" title="Returns the style of control vertices in the m_cv array. ">ON_BezierCurve::CVStyle</a> <a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a38d647951d5711ca8e832dcbc90c7792" title="Get location of a control vertex. ">ON_BezierCurve::GetCV</a> <a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a677e2628da411e8bb88b2e9215d4c608">ON_BezierCurve::Weight</a> </p>
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</div>
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<a id="adefdaed25e9aa0b7fde2c4209d0bdbfd"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#adefdaed25e9aa0b7fde2c4209d0bdbfd">◆ </a></span>CVCount()</h2>
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<td class="memname">int ON_BezierCurve::CVCount </td>
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<td>(</td>
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<td class="paramname"></td><td>)</td>
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<td> const</td>
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</div><div class="memdoc">
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<dl class="section return"><dt>Returns</dt><dd>Number of control vertices in the bezier. This is always the same as the order of the bezier. </dd></dl>
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</div>
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</div>
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<a id="a8826c25a65fd46596c11ed6981e50108"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a8826c25a65fd46596c11ed6981e50108">◆ </a></span>CVSize()</h2>
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<td class="memname">int ON_BezierCurve::CVSize </td>
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<td>(</td>
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<td class="paramname"></td><td>)</td>
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<td> const</td>
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</div><div class="memdoc">
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<dl class="section return"><dt>Returns</dt><dd>Number of doubles per control vertex. (= <a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#adc17ead6f3198cc96001ea0bc60852a3">IsRational()</a> ? Dim()+1 : Dim()) </dd></dl>
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<a id="a59cc73d69a29cd166b04be42c7f15f17"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a59cc73d69a29cd166b04be42c7f15f17">◆ </a></span>CVStyle()</h2>
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<td class="memname">ON::point_style ON_BezierCurve::CVStyle </td>
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<td>(</td>
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<td class="paramname"></td><td>)</td>
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<td> const</td>
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<p>Returns the style of control vertices in the m_cv array. </p>
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<dl class="section return"><dt>Returns</dt><dd>table ON::not_rational m_is_rat is false ON::homogeneous_rational m_is_rat is true </dd></dl>
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<a id="a4fe8d5eaf3cb076a52a2fed82dd88478"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a4fe8d5eaf3cb076a52a2fed82dd88478">◆ </a></span>Degree()</h2>
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<td class="memname">int ON_BezierCurve::Degree </td>
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<td>(</td>
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<td class="paramname"></td><td>)</td>
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<td> const</td>
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<dl class="section return"><dt>Returns</dt><dd>Degree of the bezier. (degree=order-1) </dd></dl>
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<a id="ad2ff88ca1a4e42f05b4ed32411f206a0"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ad2ff88ca1a4e42f05b4ed32411f206a0">◆ </a></span>DerivativeAt()</h2>
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<td class="memname"><a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> ON_BezierCurve::DerivativeAt </td>
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<td>(</td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>t</em></td><td>)</td>
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<td> const</td>
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<p>Evaluate first derivative at a parameter. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">t</td><td>[in] evaluation parameter</td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>First derivative of the curve at the parameter t. </dd></dl>
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<p>No error handling. </p>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="../../d4/d5a/class_o_n___curve.html#a37944a7a4d1c3d7e28afcbc9184ef799" title="Evaluate first derivative at a parameter with error checking. ">ON_Curve::Ev1Der</a></dd></dl>
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<a id="a585a866af061203c5b2d46ee2b9aa2a7"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a585a866af061203c5b2d46ee2b9aa2a7">◆ </a></span>Destroy()</h2>
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<td class="memname">void ON_BezierCurve::Destroy </td>
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<td>(</td>
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<td class="paramname"></td><td>)</td>
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<td></td>
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<p>Deallocates m_cv memory. </p>
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<a id="a6b0dcef0e68a44f5b0d7e8c67022a7fe"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a6b0dcef0e68a44f5b0d7e8c67022a7fe">◆ </a></span>Dimension()</h2>
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<td class="memname">int ON_BezierCurve::Dimension </td>
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<td>(</td>
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<td class="paramname"></td><td>)</td>
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<td> const</td>
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</div><div class="memdoc">
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<dl class="section return"><dt>Returns</dt><dd>Dimension of bezier. </dd></dl>
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<a id="a1b41eb9a733ebc52e59fe11a62bd0104"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a1b41eb9a733ebc52e59fe11a62bd0104">◆ </a></span>Domain()</h2>
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<td class="memname"><a class="el" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a> ON_BezierCurve::Domain </td>
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<td>(</td>
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<td class="paramname"></td><td>)</td>
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<td> const</td>
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<dl class="section return"><dt>Returns</dt><dd>Domain of bezier (always [0,1]). </dd></dl>
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<a id="afbc9591499cfe8a045cbd2a09486592f"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#afbc9591499cfe8a045cbd2a09486592f">◆ </a></span>Dump()</h2>
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<td class="memname">void ON_BezierCurve::Dump </td>
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<td>(</td>
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<td class="paramtype"><a class="el" href="../../d2/da3/class_o_n___text_log.html">ON_TextLog</a> & </td>
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<td class="paramname"></td><td>)</td>
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<td> const</td>
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<a id="a28db34743881ef2377284a0356388aa9"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a28db34743881ef2377284a0356388aa9">◆ </a></span>EmergencyDestroy()</h2>
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<td class="memname">void ON_BezierCurve::EmergencyDestroy </td>
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<td>(</td>
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<td></td>
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<a id="a3ba587a0b21ef9581bc5c003cc57553f"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a3ba587a0b21ef9581bc5c003cc57553f">◆ </a></span>Ev1Der()</h2>
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<td class="memname">bool ON_BezierCurve::Ev1Der </td>
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<td>(</td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>t</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype"><a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> & </td>
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<td class="paramname"><em>point</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype"><a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> & </td>
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<td class="paramname"><em>first_derivative</em> </td>
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<tr>
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<td></td>
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<td>)</td>
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<td></td><td> const</td>
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<p>Evaluate first derivative at a parameter with error checking. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">t</td><td>[in] evaluation parameter</td></tr>
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<tr><td class="paramname">point</td><td>[out] value of curve at t</td></tr>
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<tr><td class="paramname">first_derivative</td><td>[out] value of first derivative at t</td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>false if unable to evaluate. </dd></dl>
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<a id="a0fc29c51047bc606a8afce9f530ff8e7"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a0fc29c51047bc606a8afce9f530ff8e7">◆ </a></span>Ev2Der()</h2>
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<td class="memname">bool ON_BezierCurve::Ev2Der </td>
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<td>(</td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>t</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype"><a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> & </td>
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<td class="paramname"><em>point</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype"><a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> & </td>
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<td class="paramname"><em>first_derivative</em>, </td>
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<td></td>
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<td class="paramtype"><a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> & </td>
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<td class="paramname"><em>second_derivative</em> </td>
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<td></td>
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<td>)</td>
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<p>Evaluate second derivative at a parameter with error checking. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">t</td><td>[in] evaluation parameter</td></tr>
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<tr><td class="paramname">point</td><td>[out] value of curve at t</td></tr>
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<tr><td class="paramname">first_derivative</td><td>[out] value of first derivative at t</td></tr>
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<tr><td class="paramname">second_derivative</td><td>[out] value of second derivative at t</td></tr>
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</dd>
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<dl class="section return"><dt>Returns</dt><dd>false if unable to evaluate. </dd></dl>
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<a id="a506fe2ae579c1bb2dfb7ee9fdac96eae"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a506fe2ae579c1bb2dfb7ee9fdac96eae">◆ </a></span>Evaluate()</h2>
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<td class="memname">bool ON_BezierCurve::Evaluate </td>
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<td class="paramkey"></td>
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<td class="paramtype">int </td>
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<td class="paramname"><em>der_count</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">int </td>
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<td class="paramname"><em>v_stride</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double * </td>
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<td class="paramname"><em>v</em> </td>
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<td></td>
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<td>)</td>
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<p>Evaluate a bezier. </p>
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<dl class="params"><dt>Parameters</dt><dd>
|
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<table class="params">
|
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<tr><td class="paramname">t</td><td>[in] evaluation parameter (usually 0 <= t <= 1)</td></tr>
|
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<tr><td class="paramname">der_count</td><td>[in] (>=0) number of derivatives to evaluate</td></tr>
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<tr><td class="paramname">v_stride</td><td>[in] (>=m_dim) stride to use for the v[] array</td></tr>
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<tr><td class="paramname">v</td><td>[out] array of length (der_count+1)*v_stride bez(t) is returned in (v[0],...,v[m_dim-1]), bez'(t) is retuned in (v[v_stride],...,v[v_stride+m_dim-1]), bez"(t) is retuned in (v[2*v_stride],...,v[2*v_stride+m_dim-1]), etc.</td></tr>
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<dl class="section return"><dt>Returns</dt><dd>true if successful </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#ae1704492fbab1935dc514e07e62e7bf3">◆ </a></span>EvCurvature()</h2>
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<td class="memname">bool ON_BezierCurve::EvCurvature </td>
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<td class="paramkey"></td>
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<td class="paramtype"><a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> & </td>
|
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<td class="paramname"><em>point</em>, </td>
|
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype"><a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> & </td>
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<td class="paramname"><em>tangent</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype"><a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> & </td>
|
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<td class="paramname"><em>kappa</em> </td>
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<td></td>
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<td>)</td>
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<p>Evaluate unit tangent and curvature at a parameter with error checking. </p>
|
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<dl class="params"><dt>Parameters</dt><dd>
|
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|
|
<tr><td class="paramname">t</td><td>[in] evaluation parameter</td></tr>
|
|
<tr><td class="paramname">point</td><td>[out] value of curve at t</td></tr>
|
|
<tr><td class="paramname">tangent</td><td>[out] value of unit tangent</td></tr>
|
|
<tr><td class="paramname">kappa</td><td>[out] value of curvature vector</td></tr>
|
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|
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|
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|
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<dl class="section return"><dt>Returns</dt><dd>false if unable to evaluate. </dd></dl>
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<a id="a7f9c7141aba78552ad63ba19189dc7e8"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a7f9c7141aba78552ad63ba19189dc7e8">◆ </a></span>EvPoint()</h2>
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<td class="memname">bool ON_BezierCurve::EvPoint </td>
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<td>(</td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>t</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype"><a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> & </td>
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<td class="paramname"><em>point</em> </td>
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<td></td>
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<td>)</td>
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<td></td><td> const</td>
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<p>Evaluate point at a parameter with error checking. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">t</td><td>[in] evaluation parameter</td></tr>
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<tr><td class="paramname">point</td><td>[out] value of curve at t</td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>false if unable to evaluate. </dd></dl>
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<a id="a6b6efa0d2e9ef8812701bd6cefdaf880"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a6b6efa0d2e9ef8812701bd6cefdaf880">◆ </a></span>EvTangent()</h2>
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<td class="memname">bool ON_BezierCurve::EvTangent </td>
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<td>(</td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>t</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype"><a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> & </td>
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<td class="paramname"><em>point</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype"><a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> & </td>
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<td class="paramname"><em>tangent</em> </td>
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<tr>
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<td></td>
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<td>)</td>
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<td></td><td> const</td>
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</div><div class="memdoc">
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<p>Evaluate unit tangent at a parameter with error checking. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">t</td><td>[in] evaluation parameter</td></tr>
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<tr><td class="paramname">point</td><td>[out] value of curve at t</td></tr>
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<tr><td class="paramname">tangent</td><td>[out] value of unit tangent</td></tr>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>false if unable to evaluate. </dd></dl>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="../../d4/d5a/class_o_n___curve.html#a8de2247b5bb20d1b67d40c274c17697a" title="Evaluate unit tangent vector at a parameter. ">ON_Curve::TangentAt</a>, <a class="el" href="../../d4/d5a/class_o_n___curve.html#a37944a7a4d1c3d7e28afcbc9184ef799" title="Evaluate first derivative at a parameter with error checking. ">ON_Curve::Ev1Der</a></dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a8889fb447e769a16294957388951aa32">◆ </a></span>GetBBox()</h2>
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<td class="memname">bool ON_BezierCurve::GetBBox </td>
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<td>(</td>
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<td class="paramtype">double * </td>
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<td class="paramname"><em>box_min</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double * </td>
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<td class="paramname"><em>box_max</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">bool </td>
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<td class="paramname"><em>bGrowBox</em> = <code>false</code> </td>
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<td></td>
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<td>)</td>
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<td></td><td> const</td>
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<p>Gets bounding box. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">box_min</td><td>[out] minimum corner of axis aligned bounding box The box_min[] array must have size m_dim.</td></tr>
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<tr><td class="paramname">box_max</td><td>[out] maximum corner of axis aligned bounding box The box_max[] array must have size m_dim.</td></tr>
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<tr><td class="paramname">bGrowBox</td><td>[in] if true, input box_min/box_max must be set to valid bounding box corners and this box is enlarged to be the union of the input box and the bezier's bounding box.</td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>true if successful. </dd></dl>
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<a id="a7333494a5d1069a9a413617449c273b3"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a7333494a5d1069a9a413617449c273b3">◆ </a></span>GetBoundingBox()</h2>
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<td class="memname">bool ON_BezierCurve::GetBoundingBox </td>
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<td>(</td>
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<td class="paramtype"><a class="el" href="../../d1/d17/class_o_n___bounding_box.html">ON_BoundingBox</a> & </td>
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<td class="paramname"><em>bbox</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">int </td>
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<td class="paramname"><em>bGrowBox</em> = <code>false</code> </td>
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<td></td>
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<td>)</td>
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<td></td><td> const</td>
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<p>Gets bounding box. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">bbox</td><td>[out] axis aligned bounding box returned here.</td></tr>
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<tr><td class="paramname">bGrowBox</td><td>[in] if true, input bbox must be a valid bounding box and this box is enlarged to be the union of the input box and the bezier's bounding box.</td></tr>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>true if successful. </dd></dl>
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<a id="a38d647951d5711ca8e832dcbc90c7792"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a38d647951d5711ca8e832dcbc90c7792">◆ </a></span>GetCV() <span class="overload">[1/3]</span></h2>
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<td class="memname">bool ON_BezierCurve::GetCV </td>
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<td>(</td>
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<td class="paramtype">int </td>
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<td class="paramname"><em>cv_index</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">ON::point_style </td>
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<td class="paramname"><em>pointstyle</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">double * </td>
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<td class="paramname"><em>cv</em> </td>
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<td></td>
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<td>)</td>
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<td></td><td> const</td>
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<p>Get location of a control vertex. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">cv_index</td><td>[in] control vertex index (0 <= cv_index < m_order)</td></tr>
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<tr><td class="paramname">pointstyle</td><td>[in] specifes what kind of values to get ON::not_rational cv[] is an array of length m_dim that defines a euclidean (world coordinate) point ON::homogeneous_rational cv[] is an array of length (m_dim+1) that defines a rational homogeneous point. ON::euclidean_rational cv[] is an array of length (m_dim+1). The first m_dim values define the euclidean (world coordinate) location of the point. cv[m_dim] is the weight ON::intrinsic_point_style If m_is_rat is true, cv[] has ON::homogeneous_rational point style. If m_is_rat is false, cv[] has ON::not_rational point style.</td></tr>
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<tr><td class="paramname">cv</td><td>[out] array with control vertex value.</td></tr>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>true if successful. false if cv_index is invalid. </dd></dl>
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<a id="a274cb0b63da5ab4da7bd136806034242"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a274cb0b63da5ab4da7bd136806034242">◆ </a></span>GetCV() <span class="overload">[2/3]</span></h2>
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<td class="memname">bool ON_BezierCurve::GetCV </td>
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<td>(</td>
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<td class="paramtype">int </td>
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<td class="paramname"><em>cv_index</em>, </td>
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</tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype"><a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> & </td>
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<td class="paramname"><em>point</em> </td>
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</tr>
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<tr>
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<td></td>
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<td>)</td>
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<td></td><td> const</td>
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</div><div class="memdoc">
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<p>Get location of a control vertex. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">cv_index</td><td>[in] control vertex index (0 <= cv_index < m_order)</td></tr>
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<tr><td class="paramname">point</td><td>[out] Location of control vertex. If the bezier is rational, the euclidean location is returned.</td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>true if successful. </dd></dl>
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</div>
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<a id="aaa75b2a645c3506e88892e1a745a701e"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#aaa75b2a645c3506e88892e1a745a701e">◆ </a></span>GetCV() <span class="overload">[3/3]</span></h2>
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<td class="memname">bool ON_BezierCurve::GetCV </td>
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<td>(</td>
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<td class="paramtype">int </td>
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<td class="paramname"><em>cv_index</em>, </td>
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</tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype"><a class="el" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a> & </td>
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<td class="paramname"><em>point</em> </td>
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<td></td>
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<td>)</td>
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<td></td><td> const</td>
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<p>Get value of a control vertex. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">cv_index</td><td>[in] control vertex index (0 <= cv_index < m_order)</td></tr>
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<tr><td class="paramname">point</td><td>[out] Homogenous value of control vertex. If the bezier is not rational, the weight is 1.</td></tr>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>true if successful. </dd></dl>
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<a id="ae96dc2bc03c72815c7453f9b2d3e1cda"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ae96dc2bc03c72815c7453f9b2d3e1cda">◆ </a></span>GetNurbForm()</h2>
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<td class="memname">int ON_BezierCurve::GetNurbForm </td>
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<td>(</td>
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<td class="paramtype"><a class="el" href="../../d3/d6a/class_o_n___nurbs_curve.html">ON_NurbsCurve</a> & </td>
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<td class="paramname"><em>nurbs_curve</em></td><td>)</td>
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<td> const</td>
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<p>Get <a class="el" href="../../d3/d6a/class_o_n___nurbs_curve.html">ON_NurbsCurve</a> form of a bezier. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">nurbs_curve</td><td>[out] NURBS curve form of a bezier. The domain is [0,1].</td></tr>
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<dl class="section return"><dt>Returns</dt><dd>0 = failure 1 = success </dd></dl>
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<a id="a3854ed0083cd4ef0eb0e0662a913bf23"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a3854ed0083cd4ef0eb0e0662a913bf23">◆ </a></span>GetTightBoundingBox()</h2>
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<td class="memname">bool ON_BezierCurve::GetTightBoundingBox </td>
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<td>(</td>
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<td class="paramtype"><a class="el" href="../../d1/d17/class_o_n___bounding_box.html">ON_BoundingBox</a> & </td>
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<td class="paramname"><em>tight_bbox</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">bool </td>
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<td class="paramname"><em>bGrowBox</em> = <code>false</code>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> * </td>
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<td class="paramname"><em>xform</em> = <code>nullptr</code> </td>
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<td></td>
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<td>)</td>
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<td></td><td> const</td>
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<p>Get tight bounding box of the bezier. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">tight_bbox</td><td>[in/out] tight bounding box</td></tr>
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<tr><td class="paramname">bGrowBox</td><td>[in] (default=false) If true and the input tight_bbox is valid, then returned tight_bbox is the union of the input tight_bbox and the tight bounding box of the bezier curve.</td></tr>
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<tr><td class="paramname">xform</td><td>[in] (default=nullptr) If not nullptr, the tight bounding box of the transformed bezier is calculated. The bezier curve is not modified.</td></tr>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>True if the returned tight_bbox is set to a valid bounding box. </dd></dl>
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<a id="a5e8e7efcb8ed6663bba389cd9edf7b89"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a5e8e7efcb8ed6663bba389cd9edf7b89">◆ </a></span>IncreaseDegree()</h2>
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<td class="memname">bool ON_BezierCurve::IncreaseDegree </td>
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<td>(</td>
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<td class="paramtype">int </td>
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<td class="paramname"><em>desired_degree</em></td><td>)</td>
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<td></td>
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<p>Increase degree of bezier. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">desired_degree</td><td>[in]</td></tr>
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<dl class="section return"><dt>Returns</dt><dd>true if successful. false if desired_degree < current degree. </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#adc17ead6f3198cc96001ea0bc60852a3">◆ </a></span>IsRational()</h2>
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<td class="memname">bool ON_BezierCurve::IsRational </td>
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<td>(</td>
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<dl class="section return"><dt>Returns</dt><dd>true if bezier is rational. </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#ae3816923c2564c61fc7a5822c2523dee">◆ </a></span>IsValid()</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a60a786c2cf254f997a0a701b16db79da">◆ </a></span>Loft() <span class="overload">[1/2]</span></h2>
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<p>Loft a bezier curve through a list of points. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<dl class="section return"><dt>Returns</dt><dd>true if successful </dd></dl>
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<p>The result has order = points.Count() and the loft uses the uniform parameterizaton curve( i/(points.Count()-1) ) = points[i]. </p>
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<h2 class="memtitle"><span class="permalink"><a href="#ac6f952cc483b85fd093b7ff31d35db52">◆ </a></span>Loft() <span class="overload">[2/2]</span></h2>
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<p>Loft a bezier curve through a list of points. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">pt_dim</td><td>[in] dimension of points to interpolate</td></tr>
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<tr><td class="paramname">pt_count</td><td>[in] number of points (>=2)</td></tr>
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<tr><td class="paramname">pt_stride</td><td>[in] (>=pt_dim) pt[] array stride</td></tr>
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<tr><td class="paramname">t_stride</td><td>[in] (>=1) t[] array stride</td></tr>
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<tr><td class="paramname">t</td><td>[in] strictly increasing array of interpolation parameters</td></tr>
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<dl class="section return"><dt>Returns</dt><dd>true if successful </dd></dl>
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<p>The result has order = points.Count() and the loft uses the parameterizaton curve( t[i] ) = points[i]. </p>
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<h2 class="memtitle"><span class="permalink"><a href="#a10eaf62c02829172277d53885848251b">◆ </a></span>MakeNonRational()</h2>
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<p>Make beizer not rational by setting all control vertices to their euclidean locations and setting m_is_rat to false. </p>
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<dl class="section see"><dt>See also</dt><dd>ON_Bezier::MakeRational</dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a1511bd913d07d30640d4e2c9819e78c0">◆ </a></span>MakeRational()</h2>
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<td class="memname">bool ON_BezierCurve::MakeRational </td>
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<p>Make beizer rational. </p>
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<dl class="section return"><dt>Returns</dt><dd>true if successful. </dd></dl>
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<dl class="section see"><dt>See also</dt><dd>ON_Bezier::MakeNonRational</dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a656285f922e3291ad4d13833fffbba64">◆ </a></span>operator=() <span class="overload">[1/5]</span></h2>
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<td class="memname"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a>& ON_BezierCurve::operator= </td>
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<td>(</td>
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<td class="paramtype">const <a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a> & </td>
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<h2 class="memtitle"><span class="permalink"><a href="#a191ee9a7d327ed8d20e90e9bc178398f">◆ </a></span>operator=() <span class="overload">[2/5]</span></h2>
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<td class="memname"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a>& ON_BezierCurve::operator= </td>
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<td>(</td>
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<td class="paramtype">const <a class="el" href="../../d1/d97/class_o_n___polynomial_curve.html">ON_PolynomialCurve</a> & </td>
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<h2 class="memtitle"><span class="permalink"><a href="#a9ba606a6656f6cac42e14eecfeef7f15">◆ </a></span>operator=() <span class="overload">[3/5]</span></h2>
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<td class="memname"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a>& ON_BezierCurve::operator= </td>
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<td>(</td>
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<td class="paramtype">const <a class="el" href="../../d0/dcd/class_o_n__2d_point_array.html">ON_2dPointArray</a> & </td>
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<h2 class="memtitle"><span class="permalink"><a href="#a9665af5e5a20c5d385b93ee529097ad5">◆ </a></span>operator=() <span class="overload">[4/5]</span></h2>
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<td class="memname"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a>& ON_BezierCurve::operator= </td>
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<td>(</td>
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<td class="paramtype">const <a class="el" href="../../d9/d13/class_o_n__3d_point_array.html">ON_3dPointArray</a> & </td>
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<h2 class="memtitle"><span class="permalink"><a href="#aa41ab797eef67cc94e41b1bfd1951af9">◆ </a></span>operator=() <span class="overload">[5/5]</span></h2>
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<td class="memname"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a>& ON_BezierCurve::operator= </td>
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<td>(</td>
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<td class="paramtype">const <a class="el" href="../../d2/d9b/class_o_n__4d_point_array.html">ON_4dPointArray</a> & </td>
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<h2 class="memtitle"><span class="permalink"><a href="#a27f43e091fcf46b0dc62c4ea4d220a34">◆ </a></span>Order()</h2>
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<dl class="section return"><dt>Returns</dt><dd>Order of the bezier. (order=degree+1) </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#abb6c84f8927d05e34f809f62e36c9311">◆ </a></span>PointAt()</h2>
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<p>Evaluate point at a parameter. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">t</td><td>[in] evaluation parameter</td></tr>
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<dl class="section return"><dt>Returns</dt><dd>Point (location of curve at the parameter t). </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a794bf1683770bb767ef4d95a835ab926">◆ </a></span>Reparameterize()</h2>
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<p>Use a linear fractional tranformation for [0,1] to reparameterize the bezier. The locus of the curve is not changed, but the parameterization is changed. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">c</td><td>[in] reparameterization constant (generally speaking, c should be > 0). If c != 1, then the returned bezier will be rational.</td></tr>
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<dl class="section return"><dt>Returns</dt><dd>true if successful. </dd></dl>
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<p>The reparameterization is performed by composing the input Bezier with the function lambda: [0,1] -> [0,1] given by </p><pre class="fragment"> t -> c*t / ( (c-1)*t + 1 )
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</pre><p>Note that lambda(0) = 0, lambda(1) = 1, lambda'(t) > 0, lambda'(0) = c and lambda'(1) = 1/c.</p>
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<p>If the input Bezier has control vertices {B_0, ..., B_d}, then the output Bezier has control vertices </p><pre class="fragment"> (B_0, ... c^i * B_i, ..., c^d * B_d).
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</pre><p>To derive this formula, simply compute the i-th Bernstein polynomial composed with lambda().</p>
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<p>The inverse parameterization is given by 1/c. That is, the cumulative effect of the two calls </p><pre class="fragment"> Reparameterize(c)
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Reparameterize(1.0/c)
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</pre><p>is to leave the bezier unchanged. </p>
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<dl class="section see"><dt>See also</dt><dd>ON_Bezier::ScaleConrolPoints</dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a3f9677861f670b922db042e8494802e4">◆ </a></span>Reparametrize()</h2>
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<p>misspelled function name is obsolete </p>
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<h2 class="memtitle"><span class="permalink"><a href="#a8c6f6b3b63e96c718ca94748308a8b42">◆ </a></span>ReserveCVCapacity()</h2>
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<p>Tools for managing CV and knot memory. </p>
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<p>Make sure m_cv array has a certain length. </p>
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<dl class="params"><dt>Parameters</dt><dd>
|
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<tr><td class="paramname">desired_cv_capacity</td><td>[in] minimum length of m_cv array.</td></tr>
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<dl class="section return"><dt>Returns</dt><dd>true if successful. </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a1a045711ab41e5fa4136f32bdd2ce7f1">◆ </a></span>Reverse()</h2>
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<p>Reverses bezier by reversing the order of the control points. </p>
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<h2 class="memtitle"><span class="permalink"><a href="#a4811cd3bd1387c344a4f47275f7082c7">◆ </a></span>Rotate() <span class="overload">[1/2]</span></h2>
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<td class="memname">bool ON_BezierCurve::Rotate </td>
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<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> & </td>
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<td class="paramname"><em>rotation_axis</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">const <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> & </td>
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<td class="paramname"><em>rotation_center</em> </td>
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<td>)</td>
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<p>Rotates the bezier curve about the specified axis. A positive rotation angle results in a counter-clockwise rotation about the axis (right hand rule). </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">sin_angle</td><td>[in] sine of rotation angle</td></tr>
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<tr><td class="paramname">cos_angle</td><td>[in] sine of rotation angle</td></tr>
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<tr><td class="paramname">rotation_axis</td><td>[in] direction of the axis of rotation</td></tr>
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<tr><td class="paramname">rotation_center</td><td>[in] point on the axis of rotation</td></tr>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>true if bezier curve successfully rotated </dd></dl>
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<p>Uses <a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a303c5e51344dd2375c44661e415f460f" title="Transform the bezier. ">ON_BezierCurve::Transform()</a> function to calculate the result. </p>
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<h2 class="memtitle"><span class="permalink"><a href="#a55e645d31770aa341c818a79fb2e3736">◆ </a></span>Rotate() <span class="overload">[2/2]</span></h2>
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<td class="memname">bool ON_BezierCurve::Rotate </td>
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<td>(</td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> & </td>
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<td class="paramname"><em>rotation_axis</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">const <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> & </td>
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<td class="paramname"><em>rotation_center</em> </td>
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<td>)</td>
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<p>Rotates the bezier curve about the specified axis. A positive rotation angle results in a counter-clockwise rotation about the axis (right hand rule). </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">rotation_angle</td><td>[in] angle of rotation in radians</td></tr>
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<tr><td class="paramname">rotation_axis</td><td>[in] direction of the axis of rotation</td></tr>
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<tr><td class="paramname">rotation_center</td><td>[in] point on the axis of rotation</td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>true if bezier curve successfully rotated </dd></dl>
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<p>Uses <a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a303c5e51344dd2375c44661e415f460f" title="Transform the bezier. ">ON_BezierCurve::Transform()</a> function to calculate the result. </p>
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<h2 class="memtitle"><span class="permalink"><a href="#ab498533a619bae4a28d9bfc9222a6798">◆ </a></span>Scale()</h2>
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<td class="memname">bool ON_BezierCurve::Scale </td>
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<td class="paramname"><em>scale_factor</em></td><td>)</td>
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<p>Scales the bezier curve by the specified facotor. The scale is centered at the origin. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">scale_factor</td><td>[in] scale factor</td></tr>
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<dl class="section return"><dt>Returns</dt><dd>true if bezier curve successfully scaled </dd></dl>
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<p>Uses <a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a303c5e51344dd2375c44661e415f460f" title="Transform the bezier. ">ON_BezierCurve::Transform()</a> function to calculate the result. </p>
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<h2 class="memtitle"><span class="permalink"><a href="#af01d2f24a8ff758e8289b3498fe0b47a">◆ </a></span>ScaleConrolPoints()</h2>
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<td class="memname">bool ON_BezierCurve::ScaleConrolPoints </td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>w</em> </td>
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<td>)</td>
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<p>Scale a rational Bezier's control vertices to set a weight to a specified value. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">i</td><td>[in] (0 <= i < order)</td></tr>
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<tr><td class="paramname">w</td><td>[in] w != 0.0</td></tr>
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</dd>
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<dl class="section return"><dt>Returns</dt><dd>True if successful. The i-th control vertex will have weight w. </dd></dl>
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<p>Each control point is multiplied by w/w0, where w0 is the input value of Weight(i). </p>
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<dl class="section see"><dt>See also</dt><dd>ON_Bezier::Reparameterize, ON_Bezier::ChangeWeights</dd></dl>
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<a id="a37e7f759538be4bb476e4b24a76a216d"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a37e7f759538be4bb476e4b24a76a216d">◆ </a></span>SetCV() <span class="overload">[1/3]</span></h2>
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<td class="memname">bool ON_BezierCurve::SetCV </td>
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<td class="paramname"><em>cv_index</em>, </td>
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<td></td>
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<td class="paramtype">ON::point_style </td>
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<td class="paramname"><em>pointstyle</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">const double * </td>
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<td class="paramname"><em>cv</em> </td>
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<p>Set control vertex </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">cv_index</td><td>[in] control vertex index (0 <= cv_index < m_order)</td></tr>
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<tr><td class="paramname">pointstyle</td><td>[in] specifes what kind of values are passed in the cv array. ON::not_rational cv[] is an array of length m_dim that defines a euclidean (world coordinate) point ON::homogeneous_rational cv[] is an array of length (m_dim+1) that defines a rational homogeneous point. ON::euclidean_rational cv[] is an array of length (m_dim+1). The first m_dim values define the euclidean (world coordinate) location of the point. cv[m_dim] is the weight ON::intrinsic_point_style If m_is_rat is true, cv[] has ON::homogeneous_rational point style. If m_is_rat is false, cv[] has ON::not_rational point style.</td></tr>
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<tr><td class="paramname">cv</td><td>[in] array with control vertex value.</td></tr>
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<dl class="section return"><dt>Returns</dt><dd>true if the point can be set. </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a418584ac8f35633553c0e0faeb57cc04">◆ </a></span>SetCV() <span class="overload">[2/3]</span></h2>
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<td class="memname">bool ON_BezierCurve::SetCV </td>
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<td>(</td>
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<td class="paramtype">const <a class="el" href="../../d2/d35/class_o_n__3d_point.html">ON_3dPoint</a> & </td>
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<td class="paramname"><em>point</em> </td>
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<p>Set location of a control vertex. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">cv_index</td><td>[in] control vertex index (0 <= cv_index < m_order)</td></tr>
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<tr><td class="paramname">point</td><td>[in] control vertex location. If the bezier is rational, the weight will be set to 1.</td></tr>
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<dl class="section return"><dt>Returns</dt><dd>true if successful. </dd></dl>
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<dl class="section see"><dt>See also</dt><dd>ON_BezierCurve::CV, ON_BezierCurve::SetCV,, ON_BezierCurve::SetWeight, ON_BezierCurve::Weight</dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a9d84efc04b801b0d5c3c87368d42f64f">◆ </a></span>SetCV() <span class="overload">[3/3]</span></h2>
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<td class="memname">bool ON_BezierCurve::SetCV </td>
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<td class="paramtype">const <a class="el" href="../../d9/db1/class_o_n__4d_point.html">ON_4dPoint</a> & </td>
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<td class="paramname"><em>point</em> </td>
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<p>Set value of a control vertex. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">cv_index</td><td>[in] control vertex index (0 <= cv_index < m_order)</td></tr>
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<tr><td class="paramname">point</td><td>[in] control vertex value. If the bezier is not rational, the euclidean location of homogenoeous point will be used.</td></tr>
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<dl class="section return"><dt>Returns</dt><dd>true if successful. </dd></dl>
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<dl class="section see"><dt>See also</dt><dd>ON_BezierCurve::CV, ON_BezierCurve::SetCV,, ON_BezierCurve::SetWeight, ON_BezierCurve::Weight</dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a63b12855581ab2fa7fccaddb605207fe">◆ </a></span>SetWeight()</h2>
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<td class="memname">bool ON_BezierCurve::SetWeight </td>
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<p>Set weight of a control vertex. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">cv_index</td><td>[in] control vertex index (0 <= cv_index < m_order)</td></tr>
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<dl class="section return"><dt>Returns</dt><dd>true if the weight can be set. If weight is not 1 and the bezier is not rational, then false is returned. Use <a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a1511bd913d07d30640d4e2c9819e78c0" title="Make beizer rational. ">ON_BezierCurve::MakeRational</a> to make a bezier curve rational. </dd></dl>
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<dl class="section see"><dt>See also</dt><dd>ON_BezierCurve::SetCV, ON_BezierCurve::MakeRational,, ON_BezierCurve::IsRational, ON_BezierCurve::Weight</dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a57d6ce22e7838a408cadcdeb24c27093">◆ </a></span>Split()</h2>
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<td class="paramtype"><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a> & </td>
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<p><a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a57d6ce22e7838a408cadcdeb24c27093" title="Split() divides the Bezier curve at the specified parameter. The parameter must satisfy 0 < t < 1...">Split()</a> divides the Bezier curve at the specified parameter. The parameter must satisfy 0 < t < 1. You may pass *this as one of the curves to be returned. </p>
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<tr><td class="paramname">t</td><td>[in] (0 < t < 1 ) parameter to split at</td></tr>
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<tr><td class="paramname">left_side</td><td>[out]</td></tr>
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<div class="fragment"><div class="line"> <a class="code" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a> crv = ...;</div><div class="line"> <a class="code" href="../../d9/d6f/class_o_n___bezier_curve.html">ON_BezierCurve</a> right_side;</div><div class="line"> crv.<a class="code" href="../../d9/d6f/class_o_n___bezier_curve.html#a57d6ce22e7838a408cadcdeb24c27093">Split</a>( 0.5, crv, right_side );</div><div class="line">would split crv at the 1/2, put the left side in crv,</div><div class="line">and <span class="keywordflow">return</span> the right side in right_side.</div></div><!-- fragment -->
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<h2 class="memtitle"><span class="permalink"><a href="#a7350035dd2b6e7f8b2d10973095e28fd">◆ </a></span>TangentAt()</h2>
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<td class="memname"><a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> ON_BezierCurve::TangentAt </td>
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<td>(</td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>t</em></td><td>)</td>
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<td> const</td>
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<p>Evaluate unit tangent vector at a parameter. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">t</td><td>[in] evaluation parameter</td></tr>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>Unit tangent vector of the curve at the parameter t. </dd></dl>
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<p>No error handling. </p>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="../../d4/d5a/class_o_n___curve.html#a4e223877e0a89d31e0ed404625db70ef" title="Evaluate unit tangent at a parameter with error checking. ">ON_Curve::EvTangent</a></dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a303c5e51344dd2375c44661e415f460f">◆ </a></span>Transform()</h2>
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<td class="memname">bool ON_BezierCurve::Transform </td>
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<td class="paramtype">const <a class="el" href="../../d3/d13/class_o_n___xform.html">ON_Xform</a> & </td>
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<td class="paramname"><em>xform</em></td><td>)</td>
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<p>Transform the bezier. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">xform</td><td>[in] transformation to apply to bezier</td></tr>
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<dl class="section return"><dt>Returns</dt><dd>true if successful. false if bezier is invalid and cannot be transformed. </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#ab6a239661b33a5d44f200fe75dadb3b5">◆ </a></span>Translate()</h2>
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<td class="memname">bool ON_BezierCurve::Translate </td>
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<td>(</td>
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<td class="paramtype">const <a class="el" href="../../d5/dae/class_o_n__3d_vector.html">ON_3dVector</a> & </td>
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<td class="paramname"><em>translation_vector</em></td><td>)</td>
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<p>Translates the bezier curve along the specified vector. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">translation_vector</td><td>[in] translation vector</td></tr>
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<dl class="section return"><dt>Returns</dt><dd>true if bezier curve successfully translated </dd></dl>
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<p>Uses <a class="el" href="../../d9/d6f/class_o_n___bezier_curve.html#a303c5e51344dd2375c44661e415f460f" title="Transform the bezier. ">ON_BezierCurve::Transform()</a> function to calculate the result. </p>
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<h2 class="memtitle"><span class="permalink"><a href="#ac2e29f8c926d7099a1763d52c640b82a">◆ </a></span>Trim()</h2>
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<td class="memname">bool ON_BezierCurve::Trim </td>
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<td>(</td>
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<td class="paramtype">const <a class="el" href="../../dc/dc7/class_o_n___interval.html">ON_Interval</a> & </td>
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<td class="paramname"><em>interval</em></td><td>)</td>
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<p>Trims (or extends) the bezier so the bezier so that the result starts bezier(interval[0]) and ends at bezier(interval[1]) (Evaluation performed on input bezier.) </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">interval</td><td>[in]</td></tr>
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</dd>
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</dl>
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<div class="fragment"><div class="line">An interval of [0,1] leaves the bezier unchanged. An</div><div class="line">interval of [0.5,1] would trim away the left half. An</div><div class="line">interval of [0.0,2.0] would extend the right end.</div></div><!-- fragment -->
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<h2 class="memtitle"><span class="permalink"><a href="#a677e2628da411e8bb88b2e9215d4c608">◆ </a></span>Weight()</h2>
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<td class="memname">double ON_BezierCurve::Weight </td>
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<td>(</td>
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<td class="paramname"><em>cv_index</em></td><td>)</td>
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<td> const</td>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">cv_index</td><td>[in] control vertex index (0<=i<m_order)</td></tr>
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<dl class="section return"><dt>Returns</dt><dd>Weight of the i-th control vertex. </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a79ea11a014c2213a5d99b2d62c29092e">◆ </a></span>ZeroCVs()</h2>
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<td class="memname">bool ON_BezierCurve::ZeroCVs </td>
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<td>(</td>
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<p>Zeros control vertices and, if rational, sets weights to 1. </p>
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<h2 class="groupheader">Member Data Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#ac7232e4c49c237539c487b94d7871d5a">◆ </a></span>m_cv</h2>
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<td class="memname">double* ON_BezierCurve::m_cv</td>
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<p>The i-th cv begins at cv[i*m_cv_stride]. </p>
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<h2 class="memtitle"><span class="permalink"><a href="#aad7b699da1da038e8f397101cd869c9b">◆ </a></span>m_cv_capacity</h2>
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<td class="memname">int ON_BezierCurve::m_cv_capacity</td>
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<h2 class="memtitle"><span class="permalink"><a href="#ab03ddace3cf79ec060a149a698b9a350">◆ </a></span>m_cv_stride</h2>
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<td class="memname">int ON_BezierCurve::m_cv_stride</td>
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<p>Number of doubles per cv ( >= ((m_is_rat)?m_dim+1:m_dim) ) </p>
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<h2 class="memtitle"><span class="permalink"><a href="#af642d39ca0ace27d454f58c683b65452">◆ </a></span>m_dim</h2>
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<td class="memname">int ON_BezierCurve::m_dim</td>
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<p>Implementation. </p>
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<p>dimension of bezier (>=1) </p>
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<h2 class="memtitle"><span class="permalink"><a href="#a987b8c9b7eeefa9332c4af5d4eb040e6">◆ </a></span>m_is_rat</h2>
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<td class="memname">int ON_BezierCurve::m_is_rat</td>
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<p>1 if bezier is rational, 0 if bezier is not rational </p>
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<h2 class="memtitle"><span class="permalink"><a href="#aea3a891b29b89395cbe4282ef984a277">◆ </a></span>m_order</h2>
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<td class="memname">int ON_BezierCurve::m_order</td>
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<p>order = degree+1 </p>
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