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/* ----------------------------------------------------------------------- *
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* This file is part of GEL, http://www.imm.dtu.dk/GEL
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* Copyright (C) the authors and DTU Informatics
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* For license and list of authors, see ../../doc/intro.pdf
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* ----------------------------------------------------------------------- */
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/**
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* @file curvature.h
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* @brief Compute various curvature measures from meshes.
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*/
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#ifndef __MESHEDIT_CURVATURE_H__
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#define __MESHEDIT_CURVATURE_H__
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#include <vector>
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#include "Manifold.h"
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namespace CGLA
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{
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class Vec3d;
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class Mat2x2d;
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class Mat3x3d;
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class Ma4x4d;
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}
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namespace HMesh
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{
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class Manifold;
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template<typename ITEM>
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class VertexAttributeVector;
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double voronoi_area(const Manifold& m,
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VertexID v);
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double barycentric_area(const Manifold& m,
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VertexID v);
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void unnormalized_mean_curvature_normal(const Manifold& m,
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VertexID v,
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CGLA::Vec3d& curv_normal,
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double& w_sum);
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CGLA::Vec3d mean_curvature_normal( const Manifold& m,
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VertexID v);
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double sum_curvatures( const Manifold& m,
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VertexAttributeVector<double>& curvature);
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double gaussian_curvature_angle_defect( const Manifold& m,
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VertexID v);
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CGLA::Mat3x3d curvature_tensor( const Manifold& m,
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HalfEdgeID h);
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CGLA::Mat3x3d curvature_tensor_from_edge( const Manifold& m,
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HalfEdgeID h);
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void curvature_tensor_paraboloid( const Manifold& m,
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VertexID v,
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CGLA::Mat2x2d& curv_tensor,
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CGLA::Mat3x3d& frame);
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void curvature_tensors_from_edges( const Manifold& m,
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VertexAttributeVector<CGLA::Mat3x3d>& curvature_tensors);
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void smooth_curvature_tensors( const Manifold& m,
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VertexAttributeVector<CGLA::Mat3x3d>& curvature_tensors);
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void gaussian_curvature_angle_defects( const Manifold& m,
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VertexAttributeVector<double>& curvature,
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int smooth_steps=0);
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void mean_curvatures( const Manifold& m,
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VertexAttributeVector<double>& curvature,
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int smooth_steps=0);
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void curvature_paraboloids( const Manifold& m,
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VertexAttributeVector<CGLA::Vec3d>& min_curv_direction,
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VertexAttributeVector<CGLA::Vec3d>& max_curv_direction,
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VertexAttributeVector<double>& curvature);
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void curvature_from_tensors(const Manifold& m,
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const VertexAttributeVector<CGLA::Mat3x3d>& curvature_tensors,
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VertexAttributeVector<CGLA::Vec3d>& min_curv_direction,
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VertexAttributeVector<CGLA::Vec3d>& max_curv_direction,
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VertexAttributeVector<double>& curvature);
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}
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#endif
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