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0001 // Created on: 1993-10-20 0002 // Created by: Bruno DUMORTIER 0003 // Copyright (c) 1993-1999 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 _Convert_CompBezierCurvesToBSplineCurve_HeaderFile 0018 #define _Convert_CompBezierCurvesToBSplineCurve_HeaderFile 0019 0020 #include <Standard.hxx> 0021 #include <Standard_DefineAlloc.hxx> 0022 0023 #include <Convert_SequenceOfArray1OfPoles.hxx> 0024 #include <TColgp_SequenceOfPnt.hxx> 0025 #include <TColStd_SequenceOfReal.hxx> 0026 #include <TColStd_SequenceOfInteger.hxx> 0027 #include <TColgp_Array1OfPnt.hxx> 0028 #include <TColStd_Array1OfReal.hxx> 0029 #include <TColStd_Array1OfInteger.hxx> 0030 0031 0032 //! An algorithm to convert a sequence of adjacent 0033 //! non-rational Bezier curves into a BSpline curve. 0034 //! A CompBezierCurvesToBSplineCurve object provides a framework for: 0035 //! - defining the sequence of adjacent non-rational Bezier 0036 //! curves to be converted into a BSpline curve, 0037 //! - implementing the computation algorithm, and 0038 //! - consulting the results. 0039 //! Warning 0040 //! Do not attempt to convert rational Bezier curves using this type of algorithm. 0041 class Convert_CompBezierCurvesToBSplineCurve 0042 { 0043 public: 0044 0045 DEFINE_STANDARD_ALLOC 0046 0047 0048 //! Constructs a framework for converting a sequence of 0049 //! adjacent non-rational Bezier curves into a BSpline curve. 0050 //! Knots will be created on the computed BSpline curve at 0051 //! each junction point of two consecutive Bezier curves. The 0052 //! degree of continuity of the BSpline curve will be increased at 0053 //! the junction point of two consecutive Bezier curves if their 0054 //! tangent vectors at this point are parallel. AngularTolerance 0055 //! (given in radians, and defaulted to 1.0 e-4) will be used 0056 //! to check the parallelism of the two tangent vectors. 0057 //! Use the following functions: 0058 //! - AddCurve to define in sequence the adjacent Bezier 0059 //! curves to be converted, 0060 //! - Perform to compute the data needed to build the BSpline curve, 0061 //! - and the available consultation functions to access the 0062 //! computed data. This data may be used to construct the BSpline curve. 0063 Standard_EXPORT Convert_CompBezierCurvesToBSplineCurve(const Standard_Real AngularTolerance = 1.0e-4); 0064 0065 //! Adds the Bezier curve defined by the table of poles Poles, to 0066 //! the sequence (still contained in this framework) of adjacent 0067 //! Bezier curves to be converted into a BSpline curve. 0068 //! Only polynomial (i.e. non-rational) Bezier curves are 0069 //! converted using this framework. 0070 //! If this is not the first call to the function (i.e. if this framework 0071 //! still contains data in its Bezier curve sequence), the degree 0072 //! of continuity of the BSpline curve will be increased at the 0073 //! time of computation at the first point of the added Bezier 0074 //! curve (i.e. the first point of the Poles table). This will be the 0075 //! case if the tangent vector of the curve at this point is 0076 //! parallel to the tangent vector at the end point of the 0077 //! preceding Bezier curve in the Bezier curve sequence still 0078 //! contained in this framework. An angular tolerance given at 0079 //! the time of construction of this framework will be used to 0080 //! check the parallelism of the two tangent vectors. This 0081 //! checking procedure and all related computations will be 0082 //! performed by the Perform function. 0083 //! When the adjacent Bezier curve sequence is complete, use 0084 //! the following functions: 0085 //! - Perform to compute the data needed to build the BSpline curve, 0086 //! - and the available consultation functions to access the 0087 //! computed data. This data may be used to construct the BSpline curve. 0088 //! Warning 0089 //! The Bezier curve sequence treated by this framework is 0090 //! automatically initialized with the first Bezier curve when the 0091 //! function is first called. During subsequent use of this function, 0092 //! ensure that the first point of the added Bezier curve (i.e. the 0093 //! first point of the Poles table) is coincident with the last point 0094 //! of the Bezier curve sequence (i.e. the last point of the 0095 //! preceding Bezier curve in the sequence) still contained in 0096 //! this framework. An error may occur at the time of 0097 //! computation if this condition is not satisfied. Particular care 0098 //! must be taken with respect to the above, as this condition is 0099 //! not checked either when defining the Bezier curve 0100 //! sequence or at the time of computation. 0101 Standard_EXPORT void AddCurve (const TColgp_Array1OfPnt& Poles); 0102 0103 //! Computes all the data needed to build a BSpline curve 0104 //! equivalent to the adjacent Bezier curve sequence still 0105 //! contained in this framework. 0106 //! A knot is inserted on the computed BSpline curve at the 0107 //! junction point of two consecutive Bezier curves. The 0108 //! degree of continuity of the BSpline curve will be increased 0109 //! at the junction point of two consecutive Bezier curves if 0110 //! their tangent vectors at this point are parallel. An angular 0111 //! tolerance given at the time of construction of this 0112 //! framework is used to check the parallelism of the two 0113 //! tangent vectors. 0114 //! Use the available consultation functions to access the 0115 //! computed data. This data may then be used to construct 0116 //! the BSpline curve. 0117 //! Warning 0118 //! Make sure that the curves in the Bezier curve sequence 0119 //! contained in this framework are adjacent. An error may 0120 //! occur at the time of computation if this condition is not 0121 //! satisfied. Particular care must be taken with respect to the 0122 //! above as this condition is not checked, either when 0123 //! defining the Bezier curve sequence or at the time of computation. 0124 Standard_EXPORT void Perform(); 0125 0126 //! Returns the degree of the BSpline curve whose data is 0127 //! computed in this framework. 0128 //! Warning 0129 //! Take particular care not to use this function before the 0130 //! computation is performed (Perform function), as this 0131 //! condition is not checked and an error may therefore occur. 0132 Standard_EXPORT Standard_Integer Degree() const; 0133 0134 //! Returns the number of poles of the BSpline curve whose 0135 //! data is computed in this framework. 0136 //! Warning 0137 //! Take particular care not to use this function before the 0138 //! computation is performed (Perform function), as this 0139 //! condition is not checked and an error may therefore occur. 0140 Standard_EXPORT Standard_Integer NbPoles() const; 0141 0142 //! Loads the Poles table with the poles of the BSpline curve 0143 //! whose data is computed in this framework. 0144 //! Warning 0145 //! - Do not use this function before the computation is 0146 //! performed (Perform function). 0147 //! - The length of the Poles array must be equal to the 0148 //! number of poles of the BSpline curve whose data is 0149 //! computed in this framework. 0150 //! Particular care must be taken with respect to the above, as 0151 //! these conditions are not checked, and an error may occur. 0152 Standard_EXPORT void Poles (TColgp_Array1OfPnt& Poles) const; 0153 0154 //! Returns the number of knots of the BSpline curve whose 0155 //! data is computed in this framework. 0156 //! Warning 0157 //! Take particular care not to use this function before the 0158 //! computation is performed (Perform function), as this 0159 //! condition is not checked and an error may therefore occur. 0160 Standard_EXPORT Standard_Integer NbKnots() const; 0161 0162 0163 //! - loads the Knots table with the knots, 0164 //! - and loads the Mults table with the corresponding multiplicities 0165 //! of the BSpline curve whose data is computed in this framework. 0166 //! Warning 0167 //! - Do not use this function before the computation is 0168 //! performed (Perform function). 0169 //! - The length of the Knots and Mults arrays must be equal 0170 //! to the number of knots in the BSpline curve whose data is 0171 //! computed in this framework. 0172 //! Particular care must be taken with respect to the above as 0173 //! these conditions are not checked, and an error may occur. 0174 Standard_EXPORT void KnotsAndMults (TColStd_Array1OfReal& Knots, TColStd_Array1OfInteger& Mults) const; 0175 0176 0177 0178 0179 protected: 0180 0181 0182 0183 0184 0185 private: 0186 0187 0188 0189 Convert_SequenceOfArray1OfPoles mySequence; 0190 TColgp_SequenceOfPnt CurvePoles; 0191 TColStd_SequenceOfReal CurveKnots; 0192 TColStd_SequenceOfInteger KnotsMultiplicities; 0193 Standard_Integer myDegree; 0194 Standard_Real myAngular; 0195 Standard_Boolean myDone; 0196 0197 0198 }; 0199 0200 0201 0202 0203 0204 0205 0206 #endif // _Convert_CompBezierCurvesToBSplineCurve_HeaderFile
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