57 lines
2.4 KiB
C++
57 lines
2.4 KiB
C++
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// This file is part of libigl, a simple c++ geometry processing library.
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//
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// Copyright (C) 2013 Alec Jacobson <alecjacobson@gmail.com>
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//
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// This Source Code Form is subject to the terms of the Mozilla Public License
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// v. 2.0. If a copy of the MPL was not distributed with this file, You can
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// obtain one at http://mozilla.org/MPL/2.0/.
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#include "gaussian_curvature.h"
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#include "internal_angles.h"
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#include "PI.h"
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#include <iostream>
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template <typename DerivedV, typename DerivedF, typename DerivedK>
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IGL_INLINE void igl::gaussian_curvature(
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const Eigen::PlainObjectBase<DerivedV>& V,
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const Eigen::PlainObjectBase<DerivedF>& F,
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Eigen::PlainObjectBase<DerivedK> & K)
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{
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using namespace Eigen;
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using namespace std;
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// internal corner angles
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Matrix<
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typename DerivedV::Scalar,
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DerivedF::RowsAtCompileTime,
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DerivedF::ColsAtCompileTime> A;
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internal_angles(V,F,A);
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K.resize(V.rows(),1);
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K.setConstant(V.rows(),1,2.*PI);
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assert(A.rows() == F.rows());
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assert(A.cols() == F.cols());
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assert(K.rows() == V.rows());
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assert(F.maxCoeff() < V.rows());
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assert(K.cols() == 1);
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const int Frows = F.rows();
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//K_G(x_i) = (2π - ∑θj)
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//#ifndef IGL_GAUSSIAN_CURVATURE_OMP_MIN_VALUE
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//# define IGL_GAUSSIAN_CURVATURE_OMP_MIN_VALUE 1000
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//#endif
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//#pragma omp parallel for if (Frows>IGL_GAUSSIAN_CURVATURE_OMP_MIN_VALUE)
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for(int f = 0;f<Frows;f++)
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{
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// throw normal at each corner
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for(int j = 0; j < 3;j++)
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{
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// Q: Does this need to be critical?
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// H: I think so, sadly. Maybe there's a way to use reduction
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//#pragma omp critical
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K(F(f,j),0) -= A(f,j);
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}
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}
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}
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#ifdef IGL_STATIC_LIBRARY
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// Explicit template instantiation
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template void igl::gaussian_curvature<Eigen::Matrix<double, -1, -1, 0, -1, -1>, Eigen::Matrix<int, -1, -1, 0, -1, -1>, Eigen::Matrix<double, -1, -1, 0, -1, -1> >(Eigen::PlainObjectBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> >&);
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template void igl::gaussian_curvature<Eigen::Matrix<double, -1, -1, 0, -1, -1>, Eigen::Matrix<int, -1, -1, 0, -1, -1>, Eigen::Matrix<double, -1, 1, 0, -1, 1> >(Eigen::PlainObjectBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 1, 0, -1, 1> >&);
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#endif
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