// Created on: 1994-03-23
// Created by: Bruno DUMORTIER
// 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 _Geom2dAPI_PointsToBSpline_HeaderFile
#define _Geom2dAPI_PointsToBSpline_HeaderFile
#include
#include
#include
#include
#include
#include
#include
#include
#include
#include
class Geom2d_BSplineCurve;
class StdFail_NotDone;
class Standard_OutOfRange;
//! This class is used to approximate a BsplineCurve
//! passing through an array of points, with a given
//! Continuity.
//! Describes functions for building a 2D BSpline
//! curve which approximates a set of points.
//! A PointsToBSpline object provides a framework for:
//! - defining the data of the BSpline curve to be built,
//! - implementing the approximation algorithm, and
//! - consulting the results
class Geom2dAPI_PointsToBSpline
{
public:
DEFINE_STANDARD_ALLOC
//! Constructs an empty approximation algorithm.
//! Use an Init function to define and build the BSpline curve.
Standard_EXPORT Geom2dAPI_PointsToBSpline();
//! Approximate a BSpline Curve passing through an
//! array of Point. The resulting BSpline will have
//! the following properties:
//! 1- his degree will be in the range [Degmin,Degmax]
//! 2- his continuity will be at least
//! 3- the distance from the point to the
//! BSpline will be lower to Tol2D
Standard_EXPORT Geom2dAPI_PointsToBSpline(const TColgp_Array1OfPnt2d& Points, const Standard_Integer DegMin = 3, const Standard_Integer DegMax = 8, const GeomAbs_Shape Continuity = GeomAbs_C2, const Standard_Real Tol2D = 1.0e-6);
//! Approximate a BSpline Curve passing through an
//! array of Point. Of coordinates :
//!
//! X = X0 + DX * (i-YValues.Lower())
//! Y = YValues(i)
//!
//! With i in the range YValues.Lower(), YValues.Upper()
//!
//! The BSpline will be parametrized from t = X0 to
//! X0 + DX * (YValues.Upper() - YValues.Lower())
//!
//! And will satisfy X(t) = t
//!
//! The resulting BSpline will have
//! the following properties:
//! 1- his degree will be in the range [Degmin,Degmax]
//! 2- his continuity will be at least
//! 3- the distance from the point to the
//! BSpline will be lower to Tol2D
Standard_EXPORT Geom2dAPI_PointsToBSpline(const TColStd_Array1OfReal& YValues, const Standard_Real X0, const Standard_Real DX, const Standard_Integer DegMin = 3, const Standard_Integer DegMax = 8, const GeomAbs_Shape Continuity = GeomAbs_C2, const Standard_Real Tol2D = 1.0e-6);
//! Approximate a BSpline Curve passing through an
//! array of Point. The resulting BSpline will have
//! the following properties:
//! 1- his degree will be in the range [Degmin,Degmax]
//! 2- his continuity will be at least
//! 3- the distance from the point to the
//! BSpline will be lower to Tol2D
Standard_EXPORT Geom2dAPI_PointsToBSpline(const TColgp_Array1OfPnt2d& Points, const Approx_ParametrizationType ParType, const Standard_Integer DegMin = 3, const Standard_Integer DegMax = 8, const GeomAbs_Shape Continuity = GeomAbs_C2, const Standard_Real Tol2D = 1.0e-3);
//! Approximate a BSpline Curve passing through an
//! array of Point, which parameters are given by the
//! array .
//! The resulting BSpline will have the following
//! properties:
//! 1- his degree will be in the range [Degmin,Degmax]
//! 2- his continuity will be at least
//! 3- the distance from the point to the
//! BSpline will be lower to Tol2D
Standard_EXPORT Geom2dAPI_PointsToBSpline(const TColgp_Array1OfPnt2d& Points, const TColStd_Array1OfReal& Parameters, const Standard_Integer DegMin = 3, const Standard_Integer DegMax = 8, const GeomAbs_Shape Continuity = GeomAbs_C2, const Standard_Real Tol2D = 1.0e-3);
//! Approximate a BSpline Curve passing through an
//! array of Point using variational smoothing algorithm,
//! which tries to minimize additional criterium:
//! Weight1*CurveLength + Weight2*Curvature + Weight3*Torsion
Standard_EXPORT Geom2dAPI_PointsToBSpline(const TColgp_Array1OfPnt2d& Points, const Standard_Real Weight1, const Standard_Real Weight2, const Standard_Real Weight3, const Standard_Integer DegMax = 8, const GeomAbs_Shape Continuity = GeomAbs_C2, const Standard_Real Tol3D = 1.0e-3);
//! Approximate a BSpline Curve passing through an
//! array of Point. The resulting BSpline will have
//! the following properties:
//! 1- his degree will be in the range [Degmin,Degmax]
//! 2- his continuity will be at least
//! 3- the distance from the point to the
//! BSpline will be lower to Tol2D
Standard_EXPORT void Init (const TColgp_Array1OfPnt2d& Points, const Standard_Integer DegMin = 3, const Standard_Integer DegMax = 8, const GeomAbs_Shape Continuity = GeomAbs_C2, const Standard_Real Tol2D = 1.0e-6);
//! Approximate a BSpline Curve passing through an
//! array of Point. Of coordinates :
//!
//! X = X0 + DX * (i-YValues.Lower())
//! Y = YValues(i)
//!
//! With i in the range YValues.Lower(), YValues.Upper()
//!
//! The BSpline will be parametrized from t = X0 to
//! X0 + DX * (YValues.Upper() - YValues.Lower())
//!
//! And will satisfy X(t) = t
//!
//! The resulting BSpline will have
//! the following properties:
//! 1- his degree will be in the range [Degmin,Degmax]
//! 2- his continuity will be at least
//! 3- the distance from the point to the
//! BSpline will be lower to Tol2D
Standard_EXPORT void Init (const TColStd_Array1OfReal& YValues, const Standard_Real X0, const Standard_Real DX, const Standard_Integer DegMin = 3, const Standard_Integer DegMax = 8, const GeomAbs_Shape Continuity = GeomAbs_C2, const Standard_Real Tol2D = 1.0e-6);
//! Approximate a BSpline Curve passing through an
//! array of Point. The resulting BSpline will have
//! the following properties:
//! 1- his degree will be in the range [Degmin,Degmax]
//! 2- his continuity will be at least
//! 3- the distance from the point to the
//! BSpline will be lower to Tol2D
Standard_EXPORT void Init (const TColgp_Array1OfPnt2d& Points, const Approx_ParametrizationType ParType, const Standard_Integer DegMin = 3, const Standard_Integer DegMax = 8, const GeomAbs_Shape Continuity = GeomAbs_C2, const Standard_Real Tol2D = 1.0e-3);
//! Approximate a BSpline Curve passing through an
//! array of Point, which parameters are given by the
//! array .
//! The resulting BSpline will have the following
//! properties:
//! 1- his degree will be in the range [Degmin,Degmax]
//! 2- his continuity will be at least
//! 3- the distance from the point to the
//! BSpline will be lower to Tol2D
Standard_EXPORT void Init (const TColgp_Array1OfPnt2d& Points, const TColStd_Array1OfReal& Parameters, const Standard_Integer DegMin = 3, const Standard_Integer DegMax = 8, const GeomAbs_Shape Continuity = GeomAbs_C2, const Standard_Real Tol2D = 1.0e-3);
//! Approximate a BSpline Curve passing through an
//! array of Point using variational smoothing algorithm,
//! which tries to minimize additional criterium:
//! Weight1*CurveLength + Weight2*Curvature + Weight3*Torsion
Standard_EXPORT void Init (const TColgp_Array1OfPnt2d& Points, const Standard_Real Weight1, const Standard_Real Weight2, const Standard_Real Weight3, const Standard_Integer DegMax = 8, const GeomAbs_Shape Continuity = GeomAbs_C2, const Standard_Real Tol2D = 1.0e-3);
//! Returns the approximate BSpline Curve
Standard_EXPORT const Handle(Geom2d_BSplineCurve)& Curve() const;
Standard_EXPORT operator Handle(Geom2d_BSplineCurve)() const;
Standard_EXPORT Standard_Boolean IsDone() const;
protected:
private:
Standard_Boolean myIsDone;
Handle(Geom2d_BSplineCurve) myCurve;
};
#endif // _Geom2dAPI_PointsToBSpline_HeaderFile