130 lines
3.5 KiB
C++
130 lines
3.5 KiB
C++
// Copyright 2013 - Christian Schüller 2013, schuellc@inf.ethz.ch
|
|
// Interactive Geometry Lab - ETH Zurich
|
|
|
|
#include "UniformLaplacian_LIMSolver3D.h"
|
|
#include "TetrahedronMesh.h"
|
|
|
|
#define IGL_HEADER_ONLY
|
|
#include "igl/adjacency_matrix.h"
|
|
#include "igl/cotmatrix.h"
|
|
#include "igl/massmatrix.h"
|
|
|
|
UniformLaplacian_LIMSolver3D::UniformLaplacian_LIMSolver3D()
|
|
{
|
|
}
|
|
|
|
UniformLaplacian_LIMSolver3D::~UniformLaplacian_LIMSolver3D()
|
|
{
|
|
}
|
|
|
|
void UniformLaplacian_LIMSolver3D::debugOutput(std::stringstream& info)
|
|
{
|
|
std::cout << "LP:" << info.str() << "\n";
|
|
}
|
|
|
|
void UniformLaplacian_LIMSolver3D::prepareProblemData(std::vector<int>& hessRowIdx, std::vector<int>& hessColIdx)
|
|
{
|
|
const int numNodes = mesh->InitalVertices->rows();
|
|
const int numTets = mesh->Tetrahedra->rows();
|
|
|
|
// find connectivity of provided tet mesh
|
|
std::vector<std::pair<int,int> > edges;
|
|
const int tetEdges[6][2] = {{0,1},{1,2},{2,0},{0,3},{1,3},{2,3}};
|
|
|
|
for(int n=0;n<numTets;n++)
|
|
{
|
|
for(int e=0;e<6;e++)
|
|
{
|
|
int node0 = mesh->Tetrahedra->coeff(n,tetEdges[e][0]);
|
|
int node1 = mesh->Tetrahedra->coeff(n,tetEdges[e][1]);
|
|
|
|
if(node0 < node1)
|
|
edges.push_back(std::pair<int,int>(node0,node1));
|
|
else
|
|
edges.push_back(std::pair<int,int>(node1,node0));
|
|
}
|
|
}
|
|
|
|
// std::sort edges
|
|
std::sort(edges.begin(),edges.end());
|
|
|
|
// remove dublicates
|
|
std::vector<std::pair<int,int> >::iterator end;
|
|
end = std::unique(edges.begin(),edges.end());
|
|
|
|
// create sparse uniform laplacian matrix L
|
|
L.resize(numVariables,numVariables);
|
|
std::vector<Eigen::Triplet<double> > triplets;
|
|
triplets.reserve(numVariables);
|
|
for(std::vector<std::pair<int,int> >::iterator iter=edges.begin();iter!=end;++iter)
|
|
{
|
|
int node0 = iter->first;
|
|
int node1 = iter->second;
|
|
|
|
for(int i=0;i<3;i++)
|
|
{
|
|
int row = node0*3+i;
|
|
int col = node1*3+i;
|
|
|
|
triplets.push_back(Eigen::Triplet<double>(col,row,-1));
|
|
triplets.push_back(Eigen::Triplet<double>(row,col,-1));
|
|
}
|
|
|
|
for(int i=0;i<3;i++)
|
|
{
|
|
int index = node0*3+i;
|
|
triplets.push_back(Eigen::Triplet<double>(index,index,1));
|
|
index = node1*3+i;
|
|
triplets.push_back(Eigen::Triplet<double>(index,index,1));
|
|
}
|
|
}
|
|
L.setFromTriplets(triplets.begin(),triplets.end());
|
|
|
|
// bi-harmonic laplacian
|
|
L = L*L;
|
|
|
|
TetrahedronVertexIdx.resize(12,mesh->Tetrahedra->rows());
|
|
|
|
for (int k=0;k<L.outerSize();++k)
|
|
{
|
|
for (Eigen::SparseMatrix<double>::InnerIterator it(L,k);it;++it)
|
|
{
|
|
int row = it.row();
|
|
int col = it.col();
|
|
|
|
// std::sort for upper triangule matrix
|
|
if(row <= col)
|
|
{
|
|
hessRowIdx.push_back(row);
|
|
hessColIdx.push_back(col);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
double UniformLaplacian_LIMSolver3D::computeFunction(const Eigen::Matrix<double,Eigen::Dynamic,1>& x)
|
|
{
|
|
// laplacian energy function f(v) = (v-p)'L(v-p)
|
|
Eigen::VectorXd vv0 = x-initialNodes;
|
|
return Divider * 0.5 * vv0.transpose() * L * vv0;
|
|
}
|
|
|
|
void UniformLaplacian_LIMSolver3D::computeGradient(const Eigen::Matrix<double,Eigen::Dynamic,1>& x, Eigen::Matrix<double,Eigen::Dynamic,1>& grad)
|
|
{
|
|
// laplacian
|
|
grad = L * (x-initialNodes) * Divider;
|
|
}
|
|
|
|
void UniformLaplacian_LIMSolver3D::computeHessian(const Eigen::Matrix<double,Eigen::Dynamic,1>& x, const Eigen::Matrix<double*,Eigen::Dynamic,1>& hess)
|
|
{
|
|
// laplacian
|
|
int numElem = 0;
|
|
for (int k=0;k<L.outerSize();++k)
|
|
{
|
|
for (Eigen::SparseMatrix<double>::InnerIterator it(L,k);it;++it)
|
|
{
|
|
if(it.row() <= it.col())
|
|
*hess[numElem++] = it.value() * Divider;
|
|
}
|
|
}
|
|
} |