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major modification to works with constraints

This commit is contained in:
Nico Pietroni 2014-11-07 12:02:24 +00:00
parent 06bc9ba660
commit 8c93868ca7
1 changed files with 127 additions and 104 deletions
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231
vcg/complex/algorithms/implicit_smooth.h
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@ -48,23 +48,21 @@ public:
struct FaceConstraint
{
int numF;
std::vector<std::vector<ScalarType> > BarycentricW;
std::vector<ScalarType > BarycentricW;
CoordType TargetPos;
ScalarType Weight;
FaceConstraint()
{
numF=-1;
Weight=0;
}
FaceConstraint(int _numF,const std::vector<std::vector<ScalarType> > &_BarycentricW,
const CoordType &_TargetPos,ScalarType _Weight)
FaceConstraint(int _numF,
const std::vector<ScalarType > &_BarycentricW,
const CoordType &_TargetPos)
{
numF=_numF;
BarycentricW= std::vector<std::vector<ScalarType> > (_BarycentricW.begin(),_BarycentricW.end());
BarycentricW= std::vector<ScalarType > (_BarycentricW.begin(),_BarycentricW.end());
TargetPos=_TargetPos;
Weight=_Weight;
}
};
@ -83,9 +81,12 @@ public:
std::vector<int> FixedV;
//the set of faces for barycentric constraints
std::vector<FaceConstraint> ConstrainedF;
//the degree of laplacian
int degree;
Parameter()
{
degree=1;
lambda=0.2;
useMassMatrix=true;
fixBorder=false;
@ -95,39 +96,12 @@ public:
private:
// void GetMassMatrix(MeshType &mesh,
// std::vector<std::pair<int,int> > &index,
// std::vector<ScalarType> &entry)
// {
// entry.clear();
// index.clear();
// //calculate area
// vcg::tri::UpdateQuality<MeshType>::FaceArea(mesh);
// //then distribute per vertex
// vcg::tri::UpdateQuality<MeshType>::VertexFromFace(mesh);
// //3, one per coordinate
// index.resize(mesh.vert.size()*3,-1);
// entry.resize(mesh.vert.size()*3,0);
// //store the index and the scalar for the sparse matrix
// for (size_t i=0;i<mesh.vert.size();i++)
// {
// for (size_t j=0;j<3;j++)
// {
// int currI=(i*3)+j;
// index[currI]=currI;
// entry[currI]=mesh.vert[i].Q();
// }
// }
// }
static void InitSparse(const std::vector<std::pair<int,int> > &Index,
const std::vector<ScalarType> &Values,
const size_t m,
const size_t n,
Eigen::SparseMatrix<ScalarType>& X)
const std::vector<ScalarType> &Values,
const size_t m,
const size_t n,
Eigen::SparseMatrix<ScalarType>& X)
{
assert(Index.size()==Values.size());
@ -149,16 +123,10 @@ private:
X.setFromTriplets(IJV.begin(),IJV.end());
}
int SystemSize(MeshType &mesh, Parameter & SParam)
{
int basic_size=mesh.vert.size();
int constr_size=SParam.ConstrainedF.size();
return (basic_size+constr_size);
}
void CollectHardConstraints(MeshType &mesh,const Parameter &SParam,
std::vector<std::pair<int,int> > &IndexC,
std::vector<ScalarType> &WeightC)
static void CollectHardConstraints(MeshType &mesh,const Parameter &SParam,
std::vector<std::pair<int,int> > &IndexC,
std::vector<ScalarType> &WeightC)
{
std::vector<int> To_Fix;
@ -184,62 +152,88 @@ private:
{
for (int j=0;j<3;j++)
{
int IndexV=(i*3)+j;
int IndexV=(To_Fix[i]*3)+j;
IndexC.push_back(std::pair<int,int>(IndexV,IndexV));
WeightC.push_back((ScalarType)PENALTY);
}
}
}
static void CollectBarycentricConstraints(MeshType &mesh,
const Parameter &SParam,
std::vector<std::pair<int,int> > &IndexC,
std::vector<ScalarType> &WeightC,
std::vector<int> &IndexRhs,
std::vector<ScalarType> &ValueRhs)
{
int baseIndex=mesh.vert.size();
for (size_t i=0;i<SParam.ConstrainedF.size();i++)
{
//get the index of the current constraint
int IndexConstraint=baseIndex+i;
//add one hard constraint
int FaceN=SParam.ConstrainedF[i].numF;
assert(FaceN>=0);
assert(FaceN<mesh.face.size());
assert(mesh.face[FaceN].VN()==SParam.ConstrainedF[i].BarycentricW.size());
//then add all the weights to impose the constraint
for (size_t j=0;j<mesh.face[FaceN].VN();j++)
{
//get the current weight
ScalarType currW=SParam.ConstrainedF[i].BarycentricW[j];
//get the index of the current vertex
int FaceVert=vcg::tri::Index(mesh,mesh.face[FaceN].V(j));
//then add the constraints componentwise
for (int k=0;k<3;k++)
{
//multiply times 3 per component
int IndexV=(FaceVert*3)+k;
//get the index of the current constraint
int ComponentConstraint=(IndexConstraint*3)+k;
IndexC.push_back(std::pair<int,int>(ComponentConstraint,IndexV));
WeightC.push_back(currW*PENALTY);
IndexC.push_back(std::pair<int,int>(IndexV,ComponentConstraint));
WeightC.push_back(currW*PENALTY);
//this to avoid the 1 on diagonal last entry of mass matrix
IndexC.push_back(std::pair<int,int>(ComponentConstraint,ComponentConstraint));
WeightC.push_back(-1);
}
}
for (int j=0;j<3;j++)
{
//get the index of the current constraint
int ComponentConstraint=(IndexConstraint*3)+j;
//get per component value
ScalarType ComponentV=SParam.ConstrainedF[i].TargetPos.V(j);
//add the diagonal value
IndexRhs.push_back(ComponentConstraint);
ValueRhs.push_back(ComponentV*PENALTY);
}
}
}
public:
//static void Smooth
// static void SmoothLIbIGL(MeshType &mesh,
// ScalarType lambda=0.5)//0.0001)
// {
// Eigen::MatrixXi F;
// Eigen::MatrixXd V,U;
// vcg::tri::MeshToMatrix<MeshType>::GetTriMeshData(mesh,F,V);
// U=V;
// Eigen::SparseMatrix<ScalarType> L,M;
// igl::cotmatrix(V,F,L);
// //compute the mass matrix
// static bool computed=false;
// igl::massmatrix(V,F,igl::MASSMATRIX_TYPE_BARYCENTRIC,M);
// M.setIdentity();
// computed=true;
// //const auto & S = (M - 0.001*L);
// Eigen::SparseMatrix<double> S = (M - lambda*L);
// Eigen::SimplicialLLT<Eigen::SparseMatrix<double > > solver(S);
// assert(solver.info() == Eigen::Success);
// U = solver.solve(M*U).eval();
// // Normalize to unit surface area (important for numerics)
// U.array() /= sqrt(M.diagonal().array().sum());
// //then assing per vertex positions
// printf("smoothed \n");
// fflush(stdout);
// for (size_t i=0;i<mesh.vert.size();i++)
// {
// mesh.vert[i].P().X()=U(i,0);
// mesh.vert[i].P().Y()=U(i,1);
// mesh.vert[i].P().Z()=U(i,2);
// }
// }
static void Compute(MeshType &mesh, Parameter &SParam)
static void Compute(MeshType &mesh, Parameter &SParam)
{
//calculate the size of the system
int matr_size=mesh.vert.size()+SParam.ConstrainedF.size();
//the laplacian and the mass matrix
Eigen::SparseMatrix<ScalarType> L,M;
Eigen::SparseMatrix<ScalarType> L,M,B;
//initialize the mass matrix
std::vector<std::pair<int,int> > IndexM;
@ -247,44 +241,73 @@ static void Compute(MeshType &mesh, Parameter &SParam)
//add the entries for mass matrix
if (SParam.useMassMatrix) MeshToMatrix<MeshType>::MassMatrixEntry(mesh,IndexM,ValuesM);
//then add entries for lagrange mult due to barycentric constraints
for (int i=0;i<SParam.ConstrainedF.size();i++)
{
int baseIndex=(mesh.vert.size()+i)*3;
for (int j=0;j<3;j++)
{
IndexM.push_back(std::pair<int,int>(baseIndex+j,baseIndex+j));
ValuesM.push_back(1);
}
}
//add the hard constraints
CollectHardConstraints(mesh,SParam,IndexM,ValuesM);
//initialize sparse mass matrix
InitSparse(IndexM,ValuesM,matr_size*3,matr_size*3,M);
//initialize the barycentric matrix
std::vector<std::pair<int,int> > IndexB;
std::vector<ScalarType> ValuesB;
std::vector<int> IndexRhs;
std::vector<ScalarType> ValuesRhs;
//then also collect hard constraints
//CollectHardConstraints(mesh,SParam,IndexM,ValuesM);
//initialize sparse mass matrix
InitSparse(IndexM,ValuesM,mesh.vert.size()*3,mesh.vert.size()*3,M);
CollectBarycentricConstraints(mesh,SParam,IndexB,ValuesB,IndexRhs,ValuesRhs);
//initialize sparse constraint matrix
InitSparse(IndexB,ValuesB,matr_size*3,matr_size*3,B);
//get the entries for laplacian matrix
std::vector<std::pair<int,int> > IndexL;
std::vector<ScalarType> ValuesL;
MeshToMatrix<MeshType>::GetLaplacianMatrix(mesh,IndexL,ValuesL,false);//SParam.useCotWeight);
MeshToMatrix<MeshType>::GetLaplacianMatrix(mesh,IndexL,ValuesL,SParam.useCotWeight);
//initialize sparse laplacian matrix
InitSparse(IndexL,ValuesL,mesh.vert.size()*3,mesh.vert.size()*3,L);
InitSparse(IndexL,ValuesL,matr_size*3,matr_size*3,L);
for (int i=0;i<(SParam.degree-1);i++)L=L*L;
//then solve the system
Eigen::SparseMatrix<ScalarType> S = (M + SParam.lambda*L);
Eigen::SparseMatrix<ScalarType> S = (M + B + SParam.lambda*L);
//SimplicialLDLT
Eigen::SimplicialLDLT<Eigen::SparseMatrix<ScalarType > > solver(S);
printf("output %d \n",solver.info());
fflush(stdout);
Eigen::SimplicialCholesky<Eigen::SparseMatrix<ScalarType > > solver(S);
assert(solver.info() == Eigen::Success);
int size=mesh.vert.size()*3;
MatrixXm V(size,1);
MatrixXm V(matr_size*3,1);
//set the first part of the matrix with vertex values
for (size_t i=0;i<mesh.vert.size();i++)
{
int index=i*3;
assert(index<size);
V(index,0)=mesh.vert[i].P().X();
V(index+1,0)=mesh.vert[i].P().Y();
V(index+2,0)=mesh.vert[i].P().Z();
}
//then set the second part by considering RHS gien by barycentric constraint
for (size_t i=0;i<IndexRhs.size();i++)
{
int index=IndexRhs[i];
ScalarType val=ValuesRhs[i];
V(index,0)=val;
}
//solve the system
V = solver.solve(M*V).eval();
//then copy back values
for (size_t i=0;i<mesh.vert.size();i++)
{
int index=i*3;