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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 <Geom_BezierSurface.hxx> 0026 #include <NCollection_Array2.hxx> 0027 #include <NCollection_Array1.hxx> 0028 class Geom_BSplineSurface; 0029 class Geom_BezierSurface; 0030 0031 //! This algorithm converts a B-spline surface into several 0032 //! Bezier surfaces. It uses an algorithm of knot insertion. 0033 //! A BSplineSurfaceToBezierSurface object provides a framework for: 0034 //! - defining the BSpline surface 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_BSplineSurfaceToBezierSurface 0041 { 0042 public: 0043 DEFINE_STANDARD_ALLOC 0044 0045 //! Computes all the data needed to convert 0046 //! - the BSpline surface BasisSurface into a series of adjacent Bezier surfaces. 0047 //! The result consists of a grid of BasisSurface patches 0048 //! limited by isoparametric curves corresponding to knot 0049 //! values, both in the u and v parametric directions of 0050 //! the surface. A row in the grid corresponds to a series 0051 //! of adjacent patches, all limited by the same two 0052 //! u-isoparametric curves. A column in the grid 0053 //! corresponds to a series of adjacent patches, all 0054 //! limited by the same two v-isoparametric curves. 0055 //! Use the available interrogation functions to ascertain 0056 //! the number of computed Bezier patches, and then to 0057 //! construct each individual Bezier surface (or all Bezier surfaces). 0058 //! Note: ParametricTolerance is not used. 0059 Standard_EXPORT GeomConvert_BSplineSurfaceToBezierSurface( 0060 const occ::handle<Geom_BSplineSurface>& BasisSurface); 0061 0062 //! Computes all the data needed to convert 0063 //! the patch of the BSpline surface BasisSurface 0064 //! limited by the two parameter values U1 and U2 in 0065 //! the u parametric direction, and by the two 0066 //! parameter values V1 and V2 in the v parametric 0067 //! direction, into a series of adjacent Bezier surfaces. 0068 //! The result consists of a grid of BasisSurface patches 0069 //! limited by isoparametric curves corresponding to knot 0070 //! values, both in the u and v parametric directions of 0071 //! the surface. A row in the grid corresponds to a series 0072 //! of adjacent patches, all limited by the same two 0073 //! u-isoparametric curves. A column in the grid 0074 //! corresponds to a series of adjacent patches, all 0075 //! limited by the same two v-isoparametric curves. 0076 //! Use the available interrogation functions to ascertain 0077 //! the number of computed Bezier patches, and then to 0078 //! construct each individual Bezier surface (or all Bezier surfaces). 0079 //! Note: ParametricTolerance is not used. Raises DomainError 0080 //! if U1 or U2 or V1 or V2 are out of the parametric bounds 0081 //! of the basis surface [FirstUKnotIndex, LastUKnotIndex] , 0082 //! [FirstVKnotIndex, LastVKnotIndex] The tolerance criterion is 0083 //! ParametricTolerance. 0084 //! Raised if U2 - U1 <= ParametricTolerance or 0085 //! V2 - V1 <= ParametricTolerance. 0086 Standard_EXPORT GeomConvert_BSplineSurfaceToBezierSurface( 0087 const occ::handle<Geom_BSplineSurface>& BasisSurface, 0088 const double U1, 0089 const double U2, 0090 const double V1, 0091 const double V2, 0092 const double ParametricTolerance); 0093 0094 //! Constructs and returns the Bezier surface of indices 0095 //! (UIndex, VIndex) to the patch grid computed on the 0096 //! BSpline surface analyzed by this algorithm. 0097 //! This Bezier surface has the same orientation as the 0098 //! BSpline surface analyzed in this framework. 0099 //! UIndex is an index common to a row in the patch 0100 //! grid. A row in the grid corresponds to a series of 0101 //! adjacent patches, all limited by the same two 0102 //! u-isoparametric curves of the surface. VIndex is an 0103 //! index common to a column in the patch grid. A column 0104 //! in the grid corresponds to a series of adjacent 0105 //! patches, all limited by the same two v-isoparametric 0106 //! curves of the surface. 0107 //! Exceptions 0108 //! Standard_OutOfRange if: 0109 //! - UIndex is less than 1 or greater than the number 0110 //! of rows in the patch grid computed on the BSpline 0111 //! surface analyzed by this algorithm (as returned by 0112 //! the function NbUPatches); or if 0113 //! - VIndex is less than 1 or greater than the number 0114 //! of columns in the patch grid computed on the 0115 //! BSpline surface analyzed by this algorithm (as 0116 //! returned by the function NbVPatches). 0117 Standard_EXPORT occ::handle<Geom_BezierSurface> Patch(const int UIndex, const int VIndex); 0118 0119 //! Constructs all the Bezier surfaces whose data is 0120 //! computed by this algorithm, and loads them into the Surfaces table. 0121 //! These Bezier surfaces have the same orientation as 0122 //! the BSpline surface analyzed in this framework. 0123 //! The Surfaces array is organised in the same way as 0124 //! the patch grid computed on the BSpline surface 0125 //! analyzed by this algorithm. A row in the array 0126 //! corresponds to a series of adjacent patches, all 0127 //! limited by the same two u-isoparametric curves of 0128 //! the surface. A column in the array corresponds to a 0129 //! series of adjacent patches, all limited by the same two 0130 //! v-isoparametric curves of the surface. 0131 //! Exceptions 0132 //! Standard_DimensionError if the Surfaces array 0133 //! was not created with the following bounds: 0134 //! - 1, and the number of adjacent patch series in the 0135 //! u parametric direction of the patch grid computed 0136 //! on the BSpline surface, analyzed by this algorithm 0137 //! (as given by the function NbUPatches) as row bounds, 0138 //! - 1, and the number of adjacent patch series in the 0139 //! v parametric direction of the patch grid computed 0140 //! on the BSpline surface, analyzed by this algorithm 0141 //! (as given by the function NbVPatches) as column bounds. 0142 Standard_EXPORT void Patches(NCollection_Array2<occ::handle<Geom_BezierSurface>>& Surfaces); 0143 0144 //! This methode returns the bspline's u-knots associated to 0145 //! the converted Patches 0146 //! Raised if the length of Curves is not equal to 0147 //! NbUPatches + 1 0148 Standard_EXPORT void UKnots(NCollection_Array1<double>& TKnots) const; 0149 0150 //! This methode returns the bspline's v-knots associated to 0151 //! the converted Patches 0152 //! Raised if the length of Curves is not equal to 0153 //! NbVPatches + 1 0154 Standard_EXPORT void VKnots(NCollection_Array1<double>& TKnots) const; 0155 0156 //! Returns the number of Bezier surfaces in the U direction. 0157 //! If at the creation time you have decomposed the basis Surface 0158 //! between the parametric values UFirst, ULast the number of 0159 //! Bezier surfaces in the U direction depends on the number of 0160 //! knots included inside the interval [UFirst, ULast]. 0161 //! If you have decomposed the whole basis B-spline surface the 0162 //! number of Bezier surfaces NbUPatches is equal to the number of 0163 //! UKnots less one. 0164 Standard_EXPORT int NbUPatches() const; 0165 0166 //! Returns the number of Bezier surfaces in the V direction. 0167 //! If at the creation time you have decomposed the basis surface 0168 //! between the parametric values VFirst, VLast the number of 0169 //! Bezier surfaces in the V direction depends on the number of 0170 //! knots included inside the interval [VFirst, VLast]. 0171 //! If you have decomposed the whole basis B-spline surface the 0172 //! number of Bezier surfaces NbVPatches is equal to the number of 0173 //! VKnots less one. 0174 Standard_EXPORT int NbVPatches() const; 0175 0176 private: 0177 occ::handle<Geom_BSplineSurface> mySurface; 0178 }; 0179 0180 #endif // _GeomConvert_BSplineSurfaceToBezierSurface_HeaderFile
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