You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
38 lines
1.4 KiB
38 lines
1.4 KiB
1 year ago
|
// This file is part of libigl, a simple c++ geometry processing library.
|
||
|
|
//
|
||
|
|
// Copyright (C) 2013 Alec Jacobson <alecjacobson@gmail.com>
|
||
|
|
//
|
||
|
|
// This Source Code Form is subject to the terms of the Mozilla Public License
|
||
|
|
// v. 2.0. If a copy of the MPL was not distributed with this file, You can
|
||
|
|
// obtain one at http://mozilla.org/MPL/2.0/.
|
||
|
|
#ifndef IGL_GAUSSIAN_CURVATURE_H
|
||
|
|
#define IGL_GAUSSIAN_CURVATURE_H
|
||
|
|
#include "igl_inline.h"
|
||
|
|
#include <Eigen/Core>
|
||
|
|
namespace igl
|
||
|
|
{
|
||
|
|
/// Compute the 2π minus the sum of interior angles at each vertex. For
|
||
|
|
/// interior vertices of a manifold mesh this corresponds to the local
|
||
|
|
/// integral gaussian curvature ("angle deficit", without averaging by local
|
||
|
|
/// area). For boundary vertices, this quantity is not so meaninful. FWIW,
|
||
|
|
/// adding π to the output for boundary vertices would produce local integral
|
||
|
|
/// geodesic curvature along the boundary curve.
|
||
|
|
///
|
||
|
|
/// @param[in] V #V by 3 eigen Matrix of mesh vertex 3D positions
|
||
|
|
/// @param[in] F #F by 3 eigen Matrix of face (triangle) indices
|
||
|
|
/// @param[out] K #V by 1 eigen Matrix of discrete gaussian curvature values
|
||
|
|
///
|
||
|
|
template <typename DerivedV, typename DerivedF, typename DerivedK>
|
||
|
|
IGL_INLINE void gaussian_curvature(
|
||
|
|
const Eigen::MatrixBase<DerivedV>& V,
|
||
|
|
const Eigen::MatrixBase<DerivedF>& F,
|
||
|
|
Eigen::PlainObjectBase<DerivedK> & K);
|
||
|
|
}
|
||
|
|
|
||
|
|
#ifndef IGL_STATIC_LIBRARY
|
||
|
|
# include "gaussian_curvature.cpp"
|
||
|
|
#endif
|
||
|
|
|
||
|
|
#endif
|
||
|
|
|