89 lines
3.0 KiB
C++
89 lines
3.0 KiB
C++
// This file is part of libigl, a simple c++ geometry processing library.
|
|
//
|
|
// Copyright (C) 2016 Alec Jacobson <alecjacobson@gmail.com>
|
|
//
|
|
// 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 "bbw.h"
|
|
#include "mosek_quadprog.h"
|
|
#include "../harmonic.h"
|
|
#include "../slice_into.h"
|
|
#include <Eigen/Sparse>
|
|
#include <iostream>
|
|
#include <cstdio>
|
|
|
|
|
|
template <
|
|
typename DerivedV,
|
|
typename DerivedEle,
|
|
typename Derivedb,
|
|
typename Derivedbc,
|
|
typename DerivedW>
|
|
IGL_INLINE bool igl::mosek::bbw(
|
|
const Eigen::PlainObjectBase<DerivedV> & V,
|
|
const Eigen::PlainObjectBase<DerivedEle> & Ele,
|
|
const Eigen::PlainObjectBase<Derivedb> & b,
|
|
const Eigen::PlainObjectBase<Derivedbc> & bc,
|
|
igl::BBWData & data,
|
|
igl::mosek::MosekData & mosek_data,
|
|
Eigen::PlainObjectBase<DerivedW> & W
|
|
)
|
|
{
|
|
using namespace std;
|
|
using namespace Eigen;
|
|
assert(!data.partition_unity && "partition_unity not implemented yet");
|
|
// number of domain vertices
|
|
int n = V.rows();
|
|
// number of handles
|
|
int m = bc.cols();
|
|
// Build biharmonic operator
|
|
Eigen::SparseMatrix<typename DerivedV::Scalar> Q;
|
|
harmonic(V,Ele,2,Q);
|
|
W.derived().resize(n,m);
|
|
// No linear terms
|
|
VectorXd c = VectorXd::Zero(n);
|
|
// No linear constraints
|
|
SparseMatrix<typename DerivedW::Scalar> A(0,n);
|
|
VectorXd uc(0,1),lc(0,1);
|
|
// Upper and lower box constraints (Constant bounds)
|
|
VectorXd ux = VectorXd::Ones(n);
|
|
VectorXd lx = VectorXd::Zero(n);
|
|
// Loop over handles
|
|
for(int i = 0;i<m;i++)
|
|
{
|
|
if(data.verbosity >= 1)
|
|
{
|
|
cout<<"BBW: Computing weight for handle "<<i+1<<" out of "<<m<<
|
|
"."<<endl;
|
|
}
|
|
VectorXd bci = bc.col(i);
|
|
VectorXd Wi;
|
|
// impose boundary conditions via bounds
|
|
slice_into(bci,b,ux);
|
|
slice_into(bci,b,lx);
|
|
bool r = mosek_quadprog(Q,c,0,A,lc,uc,lx,ux,mosek_data,Wi);
|
|
if(!r)
|
|
{
|
|
return false;
|
|
}
|
|
W.col(i) = Wi;
|
|
}
|
|
#ifndef NDEBUG
|
|
const double min_rowsum = W.rowwise().sum().array().abs().minCoeff();
|
|
if(min_rowsum < 0.1)
|
|
{
|
|
cerr<<"bbw.cpp: Warning, minimum row sum is very low. Consider more "
|
|
"active set iterations or enforcing partition of unity."<<endl;
|
|
}
|
|
#endif
|
|
|
|
return true;
|
|
}
|
|
|
|
#ifdef IGL_STATIC_LIBRARY
|
|
// Explicit template instantiation
|
|
template bool igl::mosek::bbw<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<double, -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<int, -1, 1, 0, -1, 1> > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> > const&, igl::BBWData&, igl::mosek::MosekData&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, -1, 0, -1, -1> >&);
|
|
#endif
|
|
|