CurvatureAnalysis.h

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00001 //===========================================================================
00002 // GoTools - SINTEF Geometry Tools version 1.1
00003 //
00004 // GoTools module: CORE
00005 //
00006 // Copyright (C) 2000-2007 SINTEF ICT, Applied Mathematics, Norway.
00007 //
00008 // This program is free software; you can redistribute it and/or          
00009 // modify it under the terms of the GNU General Public License            
00010 // as published by the Free Software Foundation version 2 of the License. 
00011 //
00012 // This program is distributed in the hope that it will be useful,        
00013 // but WITHOUT ANY WARRANTY; without even the implied warranty of         
00014 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the          
00015 // GNU General Public License for more details.                           
00016 //
00017 // You should have received a copy of the GNU General Public License      
00018 // along with this program; if not, write to the Free Software            
00019 // Foundation, Inc.,                                                      
00020 // 59 Temple Place - Suite 330,                                           
00021 // Boston, MA  02111-1307, USA.                                           
00022 //
00023 // Contact information: E-mail: tor.dokken@sintef.no                      
00024 // SINTEF ICT, Department of Applied Mathematics,                         
00025 // P.O. Box 124 Blindern,                                                 
00026 // 0314 Oslo, Norway.                                                     
00027 //
00028 // Other licenses are also available for this software, notably licenses
00029 // for:
00030 // - Building commercial software.                                        
00031 // - Building software whose source code you wish to keep private.        
00032 //===========================================================================
00033 #ifndef _CURVATUREANALYSIS_H
00034 #define _CURVATUREANALYSIS_H
00035 
00036 
00037 #include "ParamSurface.h"
00038 #include "Point.h"
00039 
00042 
00043 namespace Go
00044 {
00047 
00063     void computeFirstFundamentalForm(const ParamSurface& sf,
00064                                      double u, double v, int derivs,
00065                                      std::vector<double>& form);
00066 
00081     void computeSecondFundamentalForm(const ParamSurface& sf,
00082                                       double u, double v,
00083                                       double form1[3],
00084                                       double form2[3]);
00085 
00092     void curvatures(const ParamSurface& sf,
00093                     double u, double v,
00094                     double& K, double& H);
00095 
00096     void principalCurvatures(const ParamSurface& sf,
00097                              double u, double v,
00098                              double& k1, Point& d1,
00099                              double& k2, Point& d2);
00101 } // namespace Go
00102 
00103 #endif // _CURVATUREANALYSIS_H
00104 
00105 

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