added methods for computing various kind of curvatures indicator from the HK values
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@ -24,6 +24,9 @@
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History
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History
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$Log: not supported by cvs2svn $
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$Log: not supported by cvs2svn $
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Revision 1.7 2005/03/17 16:16:08 cignoni
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removed small gcc compiling issues
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Revision 1.6 2005/03/15 11:48:50 cignoni
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Revision 1.6 2005/03/15 11:48:50 cignoni
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Added missing include assert and improved comments and requirements of geodesic quality
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Added missing include assert and improved comments and requirements of geodesic quality
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@ -205,6 +208,63 @@ static void FaceConstant(MeshType &m, float q)
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(*fi).Q()=q;
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(*fi).Q()=q;
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}
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}
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static void VertexFromGaussianCurvature(MeshType &m)
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{
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VertexIterator vi;
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for(vi=m.vert.begin();vi!=m.vert.end();++vi) if(!(*vi).IsD())
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(*vi).Q() = (*vi).Kg();
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}
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static void VertexFromMeanCurvature(MeshType &m)
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{
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VertexIterator vi;
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for(vi=m.vert.begin();vi!=m.vert.end();++vi) if(!(*vi).IsD())
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(*vi).Q() = (*vi).Kh();
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}
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/*
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* Absolute Curvature
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*
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* 2|H| if K >= 0
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* |k1| + |k2| = <
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* 2 * sqrt(|H|^2-K) otherwise
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*
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* defs and formulas taken from
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*
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* Improved curvature estimation for watershed segmentation of 3-dimensional meshes
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* S Pulla, A Razdan, G Farin - Arizona State University, Tech. Rep, 2001
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* and from
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* Optimizing 3D triangulations using discrete curvature analysis
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* N Dyn, K Hormann, SJ Kim, D Levin - Mathematical Methods for Curves and Surfaces: Oslo, 2000
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*/
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static void VertexFromAbsoluteCurvature(MeshType &m)
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{
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VertexIterator vi;
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for(vi=m.vert.begin();vi!=m.vert.end();++vi) if(!(*vi).IsD())
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{
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if((*vi).Kg() >= 0)
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(*vi).Q() = math::Abs( 2*(*vi).Kh() );
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else
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(*vi).Q() = 2*math::Sqrt(math::Abs( (*vi).Kh()*(*vi).Kh() - (*vi).Kg()));
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}
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}
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/*
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* RMS Curvature = sqrt(4H^2-2K)
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* def and formula taken from
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*
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* Improved curvature estimation for watershed segmentation of 3-dimensional meshes
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* S Pulla, A Razdan, G Farin - Arizona State University, Tech. Rep, 2001
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*/
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static void VertexFromRMSCurvature(MeshType &m)
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{
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VertexIterator vi;
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for(vi=m.vert.begin();vi!=m.vert.end();++vi) if(!(*vi).IsD())
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(*vi).Q() = math::Sqrt(math::Abs( 4*(*vi).Kh()*(*vi).Kh() - 2*(*vi).Kg()));
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}
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}; //end class
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}; //end class
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} // end namespace
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} // end namespace
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} // end namespace
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} // end namespace
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