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OCCT/src/ModelingAlgorithms/TKGeomAlgo/GeomAPI/GeomAPI_Interpolate.hxx
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// Created on: 1994-08-18
// Created by: Laurent PAINNOT
// Copyright (c) 1994-1999 Matra Datavision
// Copyright (c) 1999-2014 OPEN CASCADE SAS
//
// This file is part of Open CASCADE Technology software library.
//
// This library is free software; you can redistribute it and/or modify it under
// the terms of the GNU Lesser General Public License version 2.1 as published
// by the Free Software Foundation, with special exception defined in the file
// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
// distribution for complete text of the license and disclaimer of any warranty.
//
// Alternatively, this file may be used under the terms of Open CASCADE
// commercial license or contractual agreement.
#ifndef _GeomAPI_Interpolate_HeaderFile
#define _GeomAPI_Interpolate_HeaderFile
#include <Standard.hxx>
#include <Standard_DefineAlloc.hxx>
#include <Standard_Handle.hxx>
#include <TColgp_HArray1OfVec.hxx>
#include <TColStd_HArray1OfBoolean.hxx>
#include <TColStd_HArray1OfReal.hxx>
#include <TColgp_Array1OfVec.hxx>
#include <Geom_BSplineCurve.hxx>
class gp_Vec;
//! This class is used to interpolate a BsplineCurve
//! passing through an array of points, with a C2
//! Continuity if tangency is not requested at the point.
//! If tangency is requested at the point the continuity will
//! be C1. If Perodicity is requested the curve will be closed
//! and the junction will be the first point given. The curve
//! will than be only C1
//! Describes functions for building a constrained 3D BSpline curve.
//! The curve is defined by a table of points
//! through which it passes, and if required:
//! - by a parallel table of reals which gives the
//! value of the parameter of each point through
//! which the resulting BSpline curve passes, and
//! - by vectors tangential to these points.
//! An Interpolate object provides a framework for:
//! - defining the constraints of the BSpline curve,
//! - implementing the interpolation algorithm, and
//! - consulting the results.
class GeomAPI_Interpolate
{
public:
DEFINE_STANDARD_ALLOC
//! Initializes an algorithm for constructing a
//! constrained BSpline curve passing through the points of the table Points.
//! Tangential vectors can then be assigned, using the function Load.
//! If PeriodicFlag is true, the constrained BSpline
//! curve will be periodic and closed. In this case,
//! the junction point is the first point of the table Points.
//! The tolerance value Tolerance is used to check that:
//! - points are not too close to each other, or
//! - tangential vectors (defined using the
//! function Load) are not too small.
//! The resulting BSpline curve will be "C2"
//! continuous, except where a tangency
//! constraint is defined on a point through which
//! the curve passes (by using the Load function).
//! In this case, it will be only "C1" continuous.
//! Once all the constraints are defined, use the
//! function Perform to compute the curve.
//! Warning
//! - There must be at least 2 points in the table Points.
//! - If PeriodicFlag is false, there must be as
//! many parameters in the array Parameters as
//! there are points in the array Points.
//! - If PeriodicFlag is true, there must be one
//! more parameter in the table Parameters: this
//! is used to give the parameter on the
//! resulting BSpline curve of the junction point
//! of the curve (which is also the first point of the table Points).
//! Exceptions
//! - Standard_ConstructionError if the
//! distance between two consecutive points in
//! the table Points is less than or equal to Tolerance.
//! - Standard_OutOfRange if:
//! - there are less than two points in the table Points, or
//! - conditions relating to the respective
//! number of elements in the parallel tables
//! Points and Parameters are not respected.
Standard_EXPORT GeomAPI_Interpolate(const Handle(TColgp_HArray1OfPnt)& Points,
const Standard_Boolean PeriodicFlag,
const Standard_Real Tolerance);
//! Initializes an algorithm for constructing a
//! constrained BSpline curve passing through the points of the table
//! Points, where the parameters of each of its
//! points are given by the parallel table Parameters.
//! Tangential vectors can then be assigned, using the function Load.
//! If PeriodicFlag is true, the constrained BSpline
//! curve will be periodic and closed. In this case,
//! the junction point is the first point of the table Points.
//! The tolerance value Tolerance is used to check that:
//! - points are not too close to each other, or
//! - tangential vectors (defined using the
//! function Load) are not too small.
//! The resulting BSpline curve will be "C2"
//! continuous, except where a tangency
//! constraint is defined on a point through which
//! the curve passes (by using the Load function).
//! In this case, it will be only "C1" continuous.
//! Once all the constraints are defined, use the
//! function Perform to compute the curve.
//! Warning
//! - There must be at least 2 points in the table Points.
//! - If PeriodicFlag is false, there must be as
//! many parameters in the array Parameters as
//! there are points in the array Points.
//! - If PeriodicFlag is true, there must be one
//! more parameter in the table Parameters: this
//! is used to give the parameter on the
//! resulting BSpline curve of the junction point
//! of the curve (which is also the first point of the table Points).
//! Exceptions
//! - Standard_ConstructionError if the
//! distance between two consecutive points in
//! the table Points is less than or equal to Tolerance.
//! - Standard_OutOfRange if:
//! - there are less than two points in the table Points, or
//! - conditions relating to the respective
//! number of elements in the parallel tables
//! Points and Parameters are not respected.
Standard_EXPORT GeomAPI_Interpolate(const Handle(TColgp_HArray1OfPnt)& Points,
const Handle(TColStd_HArray1OfReal)& Parameters,
const Standard_Boolean PeriodicFlag,
const Standard_Real Tolerance);
//! Assigns this constrained BSpline curve to be
//! tangential to vectors InitialTangent and FinalTangent
//! at its first and last points respectively (i.e.
//! the first and last points of the table of
//! points through which the curve passes, as
//! defined at the time of initialization).
Standard_EXPORT void Load(const gp_Vec& InitialTangent,
const gp_Vec& FinalTangent,
const Standard_Boolean Scale = Standard_True);
//! Assigns this constrained BSpline curve to be
//! tangential to vectors defined in the table Tangents,
//! which is parallel to the table of points
//! through which the curve passes, as
//! defined at the time of initialization. Vectors
//! in the table Tangents are defined only if
//! the flag given in the parallel table
//! TangentFlags is true: only these vectors
//! are set as tangency constraints.
Standard_EXPORT void Load(const TColgp_Array1OfVec& Tangents,
const Handle(TColStd_HArray1OfBoolean)& TangentFlags,
const Standard_Boolean Scale = Standard_True);
//! Clears all tangency constraints on this
//! constrained BSpline curve (as initialized by the function Load).
Standard_EXPORT void ClearTangents();
//! Computes the constrained BSpline curve.
//! Use the function IsDone to verify that the
//! computation is successful, and then the function Curve to obtain the result.
Standard_EXPORT void Perform();
//! Returns the computed BSpline curve.
//! Raises StdFail_NotDone if the interpolation fails.
Standard_EXPORT const Handle(Geom_BSplineCurve)& Curve() const;
Standard_EXPORT operator Handle(Geom_BSplineCurve)() const;
//! Returns true if the constrained BSpline curve is successfully constructed.
//! Note: in this case, the result is given by the function Curve.
Standard_EXPORT Standard_Boolean IsDone() const;
protected:
private:
//! Interpolates in a non periodic fashion
Standard_EXPORT void PerformNonPeriodic();
//! Interpolates in a C1 periodic fashion
Standard_EXPORT void PerformPeriodic();
Standard_Real myTolerance;
Handle(TColgp_HArray1OfPnt) myPoints;
Standard_Boolean myIsDone;
Handle(Geom_BSplineCurve) myCurve;
Handle(TColgp_HArray1OfVec) myTangents;
Handle(TColStd_HArray1OfBoolean) myTangentFlags;
Handle(TColStd_HArray1OfReal) myParameters;
Standard_Boolean myPeriodic;
Standard_Boolean myTangentRequest;
};
#endif // _GeomAPI_Interpolate_HeaderFile