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94 lines
3.7 KiB
94 lines
3.7 KiB
// This file is part of libigl, a simple c++ geometry processing library.
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//
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// Copyright (C) 2020 Oded Stein <oded.stein@columbia.edu>
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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 "edge_vectors.h"
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#include <Eigen/Geometry>
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#include "per_face_normals.h"
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#include "PI.h"
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template<typename DerivedV,typename DerivedF,typename DerivedE,
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typename DerivedoE, typename Derivedvec>
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IGL_INLINE void
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igl::edge_vectors(
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const Eigen::MatrixBase<DerivedV> &V,
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const Eigen::MatrixBase<DerivedF> &F,
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const Eigen::MatrixBase<DerivedE> &E,
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const Eigen::MatrixBase<DerivedoE> &oE,
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Eigen::PlainObjectBase<Derivedvec> &vec)
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{
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Eigen::Matrix<typename Derivedvec::Scalar, Eigen::Dynamic, Eigen::Dynamic>
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dummy;
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edge_vectors<false>(V, F, E, oE, vec, dummy);
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}
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template<bool computePerpendicular,
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typename DerivedV,typename DerivedF,typename DerivedE,
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typename DerivedoE, typename DerivedvecParallel,
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typename DerivedvecPerpendicular>
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IGL_INLINE void
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igl::edge_vectors(
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const Eigen::MatrixBase<DerivedV> &V,
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const Eigen::MatrixBase<DerivedF> &F,
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const Eigen::MatrixBase<DerivedE> &E,
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const Eigen::MatrixBase<DerivedoE> &oE,
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Eigen::PlainObjectBase<DerivedvecParallel> &vecParallel,
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Eigen::PlainObjectBase<DerivedvecPerpendicular> &vecPerpendicular)
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{
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using Scalar = typename DerivedvecParallel::Scalar;
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using MatX = Eigen::Matrix<Scalar, Eigen::Dynamic, Eigen::Dynamic>;
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assert(E.rows()==F.rows() && "E does not match dimensions of F.");
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assert(oE.rows()==F.rows() && "oE does not match dimensions of F.");
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assert(E.cols()==3 && F.cols()==3 && oE.cols()==3 &&
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"This method is for triangle meshes.");
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assert(F.maxCoeff()<V.rows() && "V does not seem to belong to F.");
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const typename DerivedE::Scalar m = E.maxCoeff()+1;
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//Compute edge-based normal
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MatX N, edgeN(m, 3);
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edgeN.setZero();
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per_face_normals(V, F, N);
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for(Eigen::Index i=0; i<E.rows(); ++i) {
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for(int j=0; j<3; ++j) {
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edgeN.row(E(i,j)) += N.row(i);
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}
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}
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edgeN.rowwise().normalize();
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//Compute edge vectors
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vecParallel.resize(m, 3);
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if(computePerpendicular) { //This should ideally be an if constexpr
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vecPerpendicular.resize(m, 3);
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}
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for(Eigen::Index i=0; i<E.rows(); ++i) {
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for(int j=0; j<3; ++j) {
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if(oE(i,j)<0) {
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continue;
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}
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const typename DerivedE::Scalar e=E(i,j);
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const typename DerivedF::Scalar vi=F(i,(j+1)%3), vj=F(i,(j+2)%3);
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vecParallel.row(e) = (V.row(vj)-V.row(vi)).normalized();
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if(computePerpendicular) { //This should ideally be an if constexpr
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vecPerpendicular.row(e) =
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Eigen::AngleAxis<Scalar>(0.5*PI, edgeN.row(e)) *
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vecParallel.row(e).transpose();
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}
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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::edge_vectors<true, Eigen::Matrix<double, -1, -1, 0, -1, -1>, Eigen::Matrix<int, -1, -1, 0, -1, -1>, Eigen::Matrix<int, -1, -1, 0, -1, -1>, Eigen::Matrix<int, -1, -1, 0, -1, -1>, Eigen::Matrix<double, -1, -1, 0, -1, -1>, Eigen::Matrix<double, -1, -1, 0, -1, -1> >(Eigen::MatrixBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, Eigen::MatrixBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, Eigen::MatrixBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, Eigen::MatrixBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> >&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> >&);
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#endif
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