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// 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 "qslim_optimal_collapse_edge_callbacks.h"
#include "quadric_binary_plus_operator.h"
#include <Eigen/LU>
IGL_INLINE void igl::qslim_optimal_collapse_edge_callbacks(
Eigen::MatrixXi & E,
std::vector<std::tuple<Eigen::MatrixXd,Eigen::RowVectorXd,double> > &
quadrics,
int & v1,
int & v2,
decimate_cost_and_placement_callback & cost_and_placement,
decimate_pre_collapse_callback & pre_collapse,
decimate_post_collapse_callback & post_collapse)
{
typedef std::tuple<Eigen::MatrixXd,Eigen::RowVectorXd,double> Quadric;
cost_and_placement = [&quadrics,&v1,&v2](
const int e,
const Eigen::MatrixXd & V,
const Eigen::MatrixXi & /*F*/,
const Eigen::MatrixXi & E,
const Eigen::VectorXi & /*EMAP*/,
const Eigen::MatrixXi & /*EF*/,
const Eigen::MatrixXi & /*EI*/,
double & cost,
Eigen::RowVectorXd & p)
{
// Combined quadric
Quadric quadric_p;
quadric_p = quadrics[E(e,0)] + quadrics[E(e,1)];
// Quadric: p'Ap + 2b'p + c
// optimal point: Ap = -b, or rather because we have row vectors: pA=-b
const auto & A = std::get<0>(quadric_p);
const auto & b = std::get<1>(quadric_p);
const auto & c = std::get<2>(quadric_p);
p = -b*A.inverse();
cost = p.dot(p*A) + 2*p.dot(b) + c;
// Force infs and nans to infinity
if(std::isinf(cost) || cost!=cost)
{
cost = std::numeric_limits<double>::infinity();
// Prevent NaNs. Actually NaNs might be useful for debugging.
p.setConstant(0);
}
};
// Remember endpoints
pre_collapse = [&v1,&v2](
const Eigen::MatrixXd & ,/*V*/
const Eigen::MatrixXi & ,/*F*/
const Eigen::MatrixXi & E ,
const Eigen::VectorXi & ,/*EMAP*/
const Eigen::MatrixXi & ,/*EF*/
const Eigen::MatrixXi & ,/*EI*/
const igl::min_heap< std::tuple<double,int,int> > & ,/*Q*/
const Eigen::VectorXi & ,/*EQ*/
const Eigen::MatrixXd & ,/*C*/
const int e)->bool
{
v1 = E(e,0);
v2 = E(e,1);
return true;
};
// update quadric
post_collapse = [&v1,&v2,&quadrics](
const Eigen::MatrixXd & , /*V*/
const Eigen::MatrixXi & , /*F*/
const Eigen::MatrixXi & , /*E*/
const Eigen::VectorXi & ,/*EMAP*/
const Eigen::MatrixXi & , /*EF*/
const Eigen::MatrixXi & , /*EI*/
const igl::min_heap< std::tuple<double,int,int> > & ,/*Q*/
const Eigen::VectorXi & ,/*EQ*/
const Eigen::MatrixXd & , /*C*/
const int , /*e*/
const int , /*e1*/
const int , /*e2*/
const int , /*f1*/
const int , /*f2*/
const bool collapsed
)->void
{
if(collapsed)
{
quadrics[v1<v2?v1:v2] = quadrics[v1] + quadrics[v2];
}
};
}