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0001 // Created on: 1996-03-12
0002 // Created by: Bruno DUMORTIER
0003 // Copyright (c) 1996-1999 Matra Datavision
0004 // Copyright (c) 1999-2014 OPEN CASCADE SAS
0005 //
0006 // This file is part of Open CASCADE Technology software library.
0007 //
0008 // This library is free software; you can redistribute it and/or modify it under
0009 // the terms of the GNU Lesser General Public License version 2.1 as published
0010 // by the Free Software Foundation, with special exception defined in the file
0011 // OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
0012 // distribution for complete text of the license and disclaimer of any warranty.
0013 //
0014 // Alternatively, this file may be used under the terms of Open CASCADE
0015 // commercial license or contractual agreement.
0016 
0017 #ifndef _GeomConvert_BSplineCurveToBezierCurve_HeaderFile
0018 #define _GeomConvert_BSplineCurveToBezierCurve_HeaderFile
0019 
0020 #include <Standard.hxx>
0021 #include <Standard_DefineAlloc.hxx>
0022 #include <Standard_Handle.hxx>
0023 
0024 #include <Standard_Integer.hxx>
0025 #include <TColGeom_Array1OfBezierCurve.hxx>
0026 #include <TColStd_Array1OfReal.hxx>
0027 class Geom_BSplineCurve;
0028 class Geom_BezierCurve;
0029 
0030 
0031 //! An algorithm to convert a BSpline curve into a series
0032 //! of adjacent Bezier curves.
0033 //! A BSplineCurveToBezierCurve object provides a framework for:
0034 //! -   defining the BSpline curve to be converted
0035 //! -   implementing the construction algorithm, and
0036 //! -   consulting the results.
0037 //! References :
0038 //! Generating the Bezier points of B-spline curves and surfaces
0039 //! (Wolfgang Bohm) CAD volume 13 number 6 november 1981
0040 class GeomConvert_BSplineCurveToBezierCurve 
0041 {
0042 public:
0043 
0044   DEFINE_STANDARD_ALLOC
0045 
0046   
0047   //! Computes all the data needed to convert the
0048   //! BSpline curve BasisCurve into a series of adjacent Bezier arcs.
0049   Standard_EXPORT GeomConvert_BSplineCurveToBezierCurve(const Handle(Geom_BSplineCurve)& BasisCurve);
0050   
0051   //! Computes all the data needed to convert
0052   //! the portion of the BSpline curve BasisCurve
0053   //! limited by the two parameter values U1 and U2 into a series of adjacent Bezier arcs.
0054   //! The result consists of a series of BasisCurve arcs
0055   //! limited by points corresponding to knot values of the curve.
0056   //! Use the available interrogation functions to ascertain
0057   //! the number of computed Bezier arcs, and then to
0058   //! construct each individual Bezier curve (or all Bezier curves).
0059   //! Note: ParametricTolerance is not used.
0060   //! Raises DomainError if U1 or U2 are out of the parametric bounds of the basis
0061   //! curve [FirstParameter, LastParameter]. The Tolerance criterion
0062   //! is ParametricTolerance.
0063   //! Raised if Abs (U2 - U1) <= ParametricTolerance.
0064   Standard_EXPORT GeomConvert_BSplineCurveToBezierCurve(const Handle(Geom_BSplineCurve)& BasisCurve, const Standard_Real U1, const Standard_Real U2, const Standard_Real ParametricTolerance);
0065   
0066   //! Constructs and returns the Bezier curve of index
0067   //! Index to the table of adjacent Bezier arcs
0068   //! computed by this algorithm.
0069   //! This Bezier curve has the same orientation as the
0070   //! BSpline curve analyzed in this framework.
0071   //! Exceptions
0072   //! Standard_OutOfRange if Index is less than 1 or
0073   //! greater than the number of adjacent Bezier arcs
0074   //! computed by this algorithm.
0075   Standard_EXPORT Handle(Geom_BezierCurve) Arc (const Standard_Integer Index);
0076   
0077   //! Constructs all the Bezier curves whose data is
0078   //! computed by this algorithm and loads these curves into the Curves table.
0079   //! The Bezier curves have the same orientation as the
0080   //! BSpline curve analyzed in this framework.
0081   //! Exceptions
0082   //! Standard_DimensionError if the Curves array was
0083   //! not created with the following bounds:
0084   //! -   1 , and
0085   //! -   the number of adjacent Bezier arcs computed by
0086   //! this algorithm (as given by the function NbArcs).
0087   Standard_EXPORT void Arcs (TColGeom_Array1OfBezierCurve& Curves);
0088   
0089   //! This methode returns the bspline's knots associated to
0090   //! the converted arcs
0091   //! Raised  if the length  of Curves is not equal to
0092   //! NbArcs +  1.
0093   Standard_EXPORT void Knots (TColStd_Array1OfReal& TKnots) const;
0094   
0095 
0096   //! Returns the number of BezierCurve arcs.
0097   //! If at the creation time you have decomposed the basis curve
0098   //! between the parametric values UFirst, ULast the number of
0099   //! BezierCurve arcs depends on the number of knots included inside
0100   //! the interval [UFirst, ULast].
0101   //! If you have decomposed the whole basis B-spline curve the number
0102   //! of BezierCurve arcs NbArcs is equal to the number of knots less
0103   //! one.
0104   Standard_EXPORT Standard_Integer NbArcs() const;
0105 
0106 
0107 
0108 
0109 protected:
0110 
0111 
0112 
0113 
0114 
0115 private:
0116 
0117 
0118 
0119   Handle(Geom_BSplineCurve) myCurve;
0120 
0121 
0122 };
0123 
0124 
0125 
0126 
0127 
0128 
0129 
0130 #endif // _GeomConvert_BSplineCurveToBezierCurve_HeaderFile