117 lines
4.3 KiB
C++
117 lines
4.3 KiB
C++
|
// This file is part of libigl, a simple c++ geometry processing library.
|
||
|
|
//
|
||
|
|
// Copyright (C) 2017 Oded Stein <oded.stein@columbia.edu>
|
||
|
|
//
|
||
|
|
// 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/.
|
||
|
|
|
||
|
|
|
||
|
|
#include "isolines.h"
|
||
|
|
|
||
|
|
#include <vector>
|
||
|
|
#include <array>
|
||
|
|
#include <iostream>
|
||
|
|
|
||
|
|
#include "remove_duplicate_vertices.h"
|
||
|
|
|
||
|
|
|
||
|
|
template <typename DerivedV,
|
||
|
|
typename DerivedF,
|
||
|
|
typename DerivedZ,
|
||
|
|
typename DerivedIsoV,
|
||
|
|
typename DerivedIsoE>
|
||
|
|
IGL_INLINE void igl::isolines(
|
||
|
|
const Eigen::MatrixBase<DerivedV>& V,
|
||
|
|
const Eigen::MatrixBase<DerivedF>& F,
|
||
|
|
const Eigen::MatrixBase<DerivedZ>& z,
|
||
|
|
const int n,
|
||
|
|
Eigen::PlainObjectBase<DerivedIsoV>& isoV,
|
||
|
|
Eigen::PlainObjectBase<DerivedIsoE>& isoE)
|
||
|
|
{
|
||
|
|
//Constants
|
||
|
|
const int dim = V.cols();
|
||
|
|
assert(dim==2 || dim==3);
|
||
|
|
const int nVerts = V.rows();
|
||
|
|
assert(z.rows() == nVerts &&
|
||
|
|
"There must be as many function entries as vertices");
|
||
|
|
const int nFaces = F.rows();
|
||
|
|
const int np1 = n+1;
|
||
|
|
const double min = z.minCoeff(), max = z.maxCoeff();
|
||
|
|
|
||
|
|
|
||
|
|
//Following http://www.alecjacobson.com/weblog/?p=2529
|
||
|
|
typedef typename DerivedZ::Scalar Scalar;
|
||
|
|
typedef Eigen::Matrix<Scalar, Eigen::Dynamic, 1> Vec;
|
||
|
|
Vec iso(np1);
|
||
|
|
for(int i=0; i<np1; ++i)
|
||
|
|
iso(i) = Scalar(i)/Scalar(n)*(max-min) + min;
|
||
|
|
|
||
|
|
typedef Eigen::Matrix<Scalar, Eigen::Dynamic, Eigen::Dynamic> Matrix;
|
||
|
|
std::array<Matrix,3> t{{Matrix(nFaces, np1),
|
||
|
|
Matrix(nFaces, np1), Matrix(nFaces, np1)}};
|
||
|
|
for(int i=0; i<nFaces; ++i) {
|
||
|
|
for(int k=0; k<3; ++k) {
|
||
|
|
const Scalar z1=z(F(i,k)), z2=z(F(i,(k+1)%3));
|
||
|
|
for(int j=0; j<np1; ++j) {
|
||
|
|
t[k](i,j) = (iso(j)-z1) / (z2-z1);
|
||
|
|
if(t[k](i,j)<0 || t[k](i,j)>1)
|
||
|
|
t[k](i,j) = std::numeric_limits<Scalar>::quiet_NaN();
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
std::array<std::vector<int>,3> Fij, Iij;
|
||
|
|
for(int i=0; i<nFaces; ++i) {
|
||
|
|
for(int j=0; j<np1; ++j) {
|
||
|
|
for(int k=0; k<3; ++k) {
|
||
|
|
const int kp1=(k+1)%3, kp2=(k+2)%3;
|
||
|
|
if(std::isfinite(t[kp1](i,j)) && std::isfinite(t[kp2](i,j))) {
|
||
|
|
Fij[k].push_back(i);
|
||
|
|
Iij[k].push_back(j);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
const int K = Fij[0].size()+Fij[1].size()+Fij[2].size();
|
||
|
|
isoV.resize(2*K, dim);
|
||
|
|
int b = 0;
|
||
|
|
for(int k=0; k<3; ++k) {
|
||
|
|
const int kp1=(k+1)%3, kp2=(k+2)%3;
|
||
|
|
for(int i=0; i<Fij[k].size(); ++i) {
|
||
|
|
isoV.row(b+i) = (1.-t[kp1](Fij[k][i],Iij[k][i]))*
|
||
|
|
V.row(F(Fij[k][i],kp1)) +
|
||
|
|
t[kp1](Fij[k][i],Iij[k][i])*V.row(F(Fij[k][i],kp2));
|
||
|
|
isoV.row(K+b+i) = (1.-t[kp2](Fij[k][i],Iij[k][i]))*
|
||
|
|
V.row(F(Fij[k][i],kp2)) +
|
||
|
|
t[kp2](Fij[k][i],Iij[k][i])*V.row(F(Fij[k][i],k));
|
||
|
|
}
|
||
|
|
b += Fij[k].size();
|
||
|
|
}
|
||
|
|
|
||
|
|
isoE.resize(K,2);
|
||
|
|
for(int i=0; i<K; ++i)
|
||
|
|
isoE.row(i) << i, K+i;
|
||
|
|
|
||
|
|
|
||
|
|
//Remove double entries
|
||
|
|
typedef typename DerivedIsoV::Scalar LScalar;
|
||
|
|
typedef typename DerivedIsoE::Scalar LInt;
|
||
|
|
typedef Eigen::Matrix<LInt, Eigen::Dynamic, 1> LIVec;
|
||
|
|
typedef Eigen::Matrix<LScalar, Eigen::Dynamic, Eigen::Dynamic> LMat;
|
||
|
|
typedef Eigen::Matrix<LInt, Eigen::Dynamic, Eigen::Dynamic> LIMat;
|
||
|
|
LIVec dummy1, dummy2;
|
||
|
|
igl::remove_duplicate_vertices(LMat(isoV), LIMat(isoE),
|
||
|
|
2.2204e-15, isoV, dummy1, dummy2, isoE);
|
||
|
|
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
#ifdef IGL_STATIC_LIBRARY
|
||
|
|
// Explicit template instantiation
|
||
|
|
template void igl::isolines<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::Matrix<double, -1, -1, 0, -1, -1>, Eigen::Matrix<int, -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<double, -1, 1, 0, -1, 1> > const&, int const, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > &, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, -1, 0, -1, -1> > &);
|
||
|
|
#endif
|
||
|
|
|