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/*
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* curvature.h
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* GEL
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*
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* Created by J. Andreas Bærentzen on 23/09/08.
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* Copyright 2008 __MyCompanyName__. All rights reserved.
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*
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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 "CGLA/Mat2x2d.h"
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#include "CGLA/Mat3x3d.h"
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#include "CGLA/Mat4x4d.h"
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#include "HMesh/Manifold.h"
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double voronoi_area(HMesh::VertexIter v);
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double barycentric_area(HMesh::VertexIter v);
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void unnormalized_mean_curvature_normal(HMesh::VertexIter v, CGLA::Vec3d& curv_normal, double& w_sum);
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const CGLA::Vec3d mean_curvature_normal(HMesh::VertexIter v);
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double sum_curvatures(HMesh::Manifold& m, std::vector<double>& curvature);
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const double gaussian_curvature_angle_defect(HMesh::VertexIter v);
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const CGLA::Mat3x3d curvature_tensor(HMesh::HalfEdgeIter h);
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const CGLA::Mat3x3d curvature_tensor_from_edges(HMesh::VertexIter v);
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void curvature_tensor_paraboloid(HMesh::VertexIter 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(HMesh::Manifold& m,
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std::vector<CGLA::Mat3x3d>& curvature_tensors);
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void smooth_curvature_tensors(HMesh::Manifold& m,
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std::vector<CGLA::Mat3x3d>& curvature_tensors);
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void gaussian_curvature_angle_defects(HMesh::Manifold& m,
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std::vector<double>& curvature,
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int smooth_steps=0);
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void mean_curvatures(HMesh::Manifold& m, std::vector<double>& curvature,int smooth_steps=0);
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void curvature_paraboloids(HMesh::Manifold& m,
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std::vector<CGLA::Vec3d>& min_curv_direction,
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std::vector<CGLA::Vec3d>& max_curv_direction,
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std::vector<double>& curvature);
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void curvature_from_tensors(HMesh::Manifold& m,
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const std::vector<CGLA::Mat3x3d>& curvature_tensors,
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std::vector<CGLA::Vec3d>& min_curv_direction,
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std::vector<CGLA::Vec3d>& max_curv_direction,
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std::vector<double>& curvature);
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#endif
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