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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_BSplineSurfaceToBezierSurface_HeaderFile 0018 #define _GeomConvert_BSplineSurfaceToBezierSurface_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_Array2OfBezierSurface.hxx> 0026 #include <TColStd_Array1OfReal.hxx> 0027 class Geom_BSplineSurface; 0028 class Geom_BezierSurface; 0029 0030 0031 0032 //! This algorithm converts a B-spline surface into several 0033 //! Bezier surfaces. It uses an algorithm of knot insertion. 0034 //! A BSplineSurfaceToBezierSurface object provides a framework for: 0035 //! - defining the BSpline surface to be converted, 0036 //! - implementing the construction algorithm, and 0037 //! - consulting the results. 0038 //! References : 0039 //! Generating the Bezier points of B-spline curves and surfaces 0040 //! (Wolfgang Bohm) CAD volume 13 number 6 november 1981 0041 class GeomConvert_BSplineSurfaceToBezierSurface 0042 { 0043 public: 0044 0045 DEFINE_STANDARD_ALLOC 0046 0047 0048 //! Computes all the data needed to convert 0049 //! - the BSpline surface BasisSurface into a series of adjacent Bezier surfaces. 0050 //! The result consists of a grid of BasisSurface patches 0051 //! limited by isoparametric curves corresponding to knot 0052 //! values, both in the u and v parametric directions of 0053 //! the surface. A row in the grid corresponds to a series 0054 //! of adjacent patches, all limited by the same two 0055 //! u-isoparametric curves. A column in the grid 0056 //! corresponds to a series of adjacent patches, all 0057 //! limited by the same two v-isoparametric curves. 0058 //! Use the available interrogation functions to ascertain 0059 //! the number of computed Bezier patches, and then to 0060 //! construct each individual Bezier surface (or all Bezier surfaces). 0061 //! Note: ParametricTolerance is not used. 0062 Standard_EXPORT GeomConvert_BSplineSurfaceToBezierSurface(const Handle(Geom_BSplineSurface)& BasisSurface); 0063 0064 //! Computes all the data needed to convert 0065 //! the patch of the BSpline surface BasisSurface 0066 //! limited by the two parameter values U1 and U2 in 0067 //! the u parametric direction, and by the two 0068 //! parameter values V1 and V2 in the v parametric 0069 //! direction, into a series of adjacent Bezier surfaces. 0070 //! The result consists of a grid of BasisSurface patches 0071 //! limited by isoparametric curves corresponding to knot 0072 //! values, both in the u and v parametric directions of 0073 //! the surface. A row in the grid corresponds to a series 0074 //! of adjacent patches, all limited by the same two 0075 //! u-isoparametric curves. A column in the grid 0076 //! corresponds to a series of adjacent patches, all 0077 //! limited by the same two v-isoparametric curves. 0078 //! Use the available interrogation functions to ascertain 0079 //! the number of computed Bezier patches, and then to 0080 //! construct each individual Bezier surface (or all Bezier surfaces). 0081 //! Note: ParametricTolerance is not used. Raises DomainError 0082 //! if U1 or U2 or V1 or V2 are out of the parametric bounds 0083 //! of the basis surface [FirstUKnotIndex, LastUKnotIndex] , 0084 //! [FirstVKnotIndex, LastVKnotIndex] The tolerance criterion is 0085 //! ParametricTolerance. 0086 //! Raised if U2 - U1 <= ParametricTolerance or 0087 //! V2 - V1 <= ParametricTolerance. 0088 Standard_EXPORT GeomConvert_BSplineSurfaceToBezierSurface(const Handle(Geom_BSplineSurface)& BasisSurface, const Standard_Real U1, const Standard_Real U2, const Standard_Real V1, const Standard_Real V2, const Standard_Real ParametricTolerance); 0089 0090 //! Constructs and returns the Bezier surface of indices 0091 //! (UIndex, VIndex) to the patch grid computed on the 0092 //! BSpline surface analyzed by this algorithm. 0093 //! This Bezier surface has the same orientation as the 0094 //! BSpline surface analyzed in this framework. 0095 //! UIndex is an index common to a row in the patch 0096 //! grid. A row in the grid corresponds to a series of 0097 //! adjacent patches, all limited by the same two 0098 //! u-isoparametric curves of the surface. VIndex is an 0099 //! index common to a column in the patch grid. A column 0100 //! in the grid corresponds to a series of adjacent 0101 //! patches, all limited by the same two v-isoparametric 0102 //! curves of the surface. 0103 //! Exceptions 0104 //! Standard_OutOfRange if: 0105 //! - UIndex is less than 1 or greater than the number 0106 //! of rows in the patch grid computed on the BSpline 0107 //! surface analyzed by this algorithm (as returned by 0108 //! the function NbUPatches); or if 0109 //! - VIndex is less than 1 or greater than the number 0110 //! of columns in the patch grid computed on the 0111 //! BSpline surface analyzed by this algorithm (as 0112 //! returned by the function NbVPatches). 0113 Standard_EXPORT Handle(Geom_BezierSurface) Patch (const Standard_Integer UIndex, const Standard_Integer VIndex); 0114 0115 //! Constructs all the Bezier surfaces whose data is 0116 //! computed by this algorithm, and loads them into the Surfaces table. 0117 //! These Bezier surfaces have the same orientation as 0118 //! the BSpline surface analyzed in this framework. 0119 //! The Surfaces array is organised in the same way as 0120 //! the patch grid computed on the BSpline surface 0121 //! analyzed by this algorithm. A row in the array 0122 //! corresponds to a series of adjacent patches, all 0123 //! limited by the same two u-isoparametric curves of 0124 //! the surface. A column in the array corresponds to a 0125 //! series of adjacent patches, all limited by the same two 0126 //! v-isoparametric curves of the surface. 0127 //! Exceptions 0128 //! Standard_DimensionError if the Surfaces array 0129 //! was not created with the following bounds: 0130 //! - 1, and the number of adjacent patch series in the 0131 //! u parametric direction of the patch grid computed 0132 //! on the BSpline surface, analyzed by this algorithm 0133 //! (as given by the function NbUPatches) as row bounds, 0134 //! - 1, and the number of adjacent patch series in the 0135 //! v parametric direction of the patch grid computed 0136 //! on the BSpline surface, analyzed by this algorithm 0137 //! (as given by the function NbVPatches) as column bounds. 0138 Standard_EXPORT void Patches (TColGeom_Array2OfBezierSurface& Surfaces); 0139 0140 //! This methode returns the bspline's u-knots associated to 0141 //! the converted Patches 0142 //! Raised if the length of Curves is not equal to 0143 //! NbUPatches + 1. 0144 Standard_EXPORT void UKnots (TColStd_Array1OfReal& TKnots) const; 0145 0146 //! This methode returns the bspline's v-knots associated to 0147 //! the converted Patches 0148 //! Raised if the length of Curves is not equal to 0149 //! NbVPatches + 1. 0150 Standard_EXPORT void VKnots (TColStd_Array1OfReal& TKnots) const; 0151 0152 0153 //! Returns the number of Bezier surfaces in the U direction. 0154 //! If at the creation time you have decomposed the basis Surface 0155 //! between the parametric values UFirst, ULast the number of 0156 //! Bezier surfaces in the U direction depends on the number of 0157 //! knots included inside the interval [UFirst, ULast]. 0158 //! If you have decomposed the whole basis B-spline surface the 0159 //! number of Bezier surfaces NbUPatches is equal to the number of 0160 //! UKnots less one. 0161 Standard_EXPORT Standard_Integer NbUPatches() const; 0162 0163 0164 //! Returns the number of Bezier surfaces in the V direction. 0165 //! If at the creation time you have decomposed the basis surface 0166 //! between the parametric values VFirst, VLast the number of 0167 //! Bezier surfaces in the V direction depends on the number of 0168 //! knots included inside the interval [VFirst, VLast]. 0169 //! If you have decomposed the whole basis B-spline surface the 0170 //! number of Bezier surfaces NbVPatches is equal to the number of 0171 //! VKnots less one. 0172 Standard_EXPORT Standard_Integer NbVPatches() const; 0173 0174 0175 0176 0177 protected: 0178 0179 0180 0181 0182 0183 private: 0184 0185 0186 0187 Handle(Geom_BSplineSurface) mySurface; 0188 0189 0190 }; 0191 0192 0193 0194 0195 0196 0197 0198 #endif // _GeomConvert_BSplineSurfaceToBezierSurface_HeaderFile
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