142 lines
4.0 KiB
C++
142 lines
4.0 KiB
C++
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// This file is part of libigl, a simple c++ geometry processing library.
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//
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// Copyright (C) 2018 Zhongshi Jiang <jiangzs@nyu.edu>
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//
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// This Source Code Form is subject to the terms of the Mozilla Public License
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// v. 2.0. If a copy of the MPL was not distributed with this file, You can
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// obtain one at http://mozilla.org/MPL/2.0/.
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#include "mapping_energy_with_jacobians.h"
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#include "polar_svd.h"
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IGL_INLINE double igl::mapping_energy_with_jacobians(
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const Eigen::MatrixXd &Ji,
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const Eigen::VectorXd &areas,
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igl::MappingEnergyType slim_energy,
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double exp_factor){
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double energy = 0;
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if (Ji.cols() == 4)
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{
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Eigen::Matrix<double, 2, 2> ji;
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for (int i = 0; i < Ji.rows(); i++)
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{
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ji(0, 0) = Ji(i, 0);
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ji(0, 1) = Ji(i, 1);
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ji(1, 0) = Ji(i, 2);
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ji(1, 1) = Ji(i, 3);
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typedef Eigen::Matrix<double, 2, 2> Mat2;
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typedef Eigen::Matrix<double, 2, 1> Vec2;
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Mat2 ri, ti, ui, vi;
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Vec2 sing;
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igl::polar_svd(ji, ri, ti, ui, sing, vi);
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double s1 = sing(0);
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double s2 = sing(1);
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switch (slim_energy)
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{
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case igl::MappingEnergyType::ARAP:
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{
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energy += areas(i) * (pow(s1 - 1, 2) + pow(s2 - 1, 2));
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break;
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}
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case igl::MappingEnergyType::SYMMETRIC_DIRICHLET:
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{
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energy += areas(i) * (pow(s1, 2) + pow(s1, -2) + pow(s2, 2) + pow(s2, -2));
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break;
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}
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case igl::MappingEnergyType::EXP_SYMMETRIC_DIRICHLET:
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{
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energy += areas(i) * exp(exp_factor * (pow(s1, 2) + pow(s1, -2) + pow(s2, 2) + pow(s2, -2)));
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break;
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}
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case igl::MappingEnergyType::LOG_ARAP:
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{
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energy += areas(i) * (pow(log(s1), 2) + pow(log(s2), 2));
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break;
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}
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case igl::MappingEnergyType::CONFORMAL:
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{
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energy += areas(i) * ((pow(s1, 2) + pow(s2, 2)) / (2 * s1 * s2));
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break;
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}
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case igl::MappingEnergyType::EXP_CONFORMAL:
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{
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energy += areas(i) * exp(exp_factor * ((pow(s1, 2) + pow(s2, 2)) / (2 * s1 * s2)));
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break;
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}
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}
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}
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}
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else
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{
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Eigen::Matrix<double, 3, 3> ji;
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for (int i = 0; i < Ji.rows(); i++)
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{
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ji(0, 0) = Ji(i, 0);
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ji(0, 1) = Ji(i, 1);
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ji(0, 2) = Ji(i, 2);
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ji(1, 0) = Ji(i, 3);
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ji(1, 1) = Ji(i, 4);
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ji(1, 2) = Ji(i, 5);
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ji(2, 0) = Ji(i, 6);
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ji(2, 1) = Ji(i, 7);
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ji(2, 2) = Ji(i, 8);
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typedef Eigen::Matrix<double, 3, 3> Mat3;
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typedef Eigen::Matrix<double, 3, 1> Vec3;
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Mat3 ri, ti, ui, vi;
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Vec3 sing;
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igl::polar_svd(ji, ri, ti, ui, sing, vi);
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double s1 = sing(0);
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double s2 = sing(1);
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double s3 = sing(2);
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switch (slim_energy)
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{
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case igl::MappingEnergyType::ARAP:
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{
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energy += areas(i) * (pow(s1 - 1, 2) + pow(s2 - 1, 2) + pow(s3 - 1, 2));
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break;
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}
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case igl::MappingEnergyType::SYMMETRIC_DIRICHLET:
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{
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energy += areas(i) * (pow(s1, 2) + pow(s1, -2) + pow(s2, 2) + pow(s2, -2) + pow(s3, 2) + pow(s3, -2));
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break;
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}
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case igl::MappingEnergyType::EXP_SYMMETRIC_DIRICHLET:
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{
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energy += areas(i) * exp(exp_factor *
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(pow(s1, 2) + pow(s1, -2) + pow(s2, 2) + pow(s2, -2) + pow(s3, 2) + pow(s3, -2)));
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break;
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}
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case igl::MappingEnergyType::LOG_ARAP:
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{
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energy += areas(i) * (pow(log(s1), 2) + pow(log(std::abs(s2)), 2) + pow(log(std::abs(s3)), 2));
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break;
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}
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case igl::MappingEnergyType::CONFORMAL:
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{
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energy += areas(i) * ((pow(s1, 2) + pow(s2, 2) + pow(s3, 2)) / (3 * pow(s1 * s2 * s3, 2. / 3.)));
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break;
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}
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case igl::MappingEnergyType::EXP_CONFORMAL:
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{
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energy += areas(i) * exp((pow(s1, 2) + pow(s2, 2) + pow(s3, 2)) / (3 * pow(s1 * s2 * s3, 2. / 3.)));
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break;
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}
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}
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}
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}
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return energy;
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}
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#ifdef IGL_STATIC_LIBRARY
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// Explicit template instantiation
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#endif
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