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48 lines
2.0 KiB
48 lines
2.0 KiB
1 year ago
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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) 2016 Michael Rabinovich
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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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#ifndef IGL_FLIP_AVOIDING_LINE_SEARCH_H
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#define IGL_FLIP_AVOIDING_LINE_SEARCH_H
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#include "igl_inline.h"
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#include "PI.h"
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#include <Eigen/Dense>
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namespace igl
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{
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/// A bisection line search for a mesh based energy that avoids triangle flips as suggested in
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/// "Bijective Parameterization with Free Boundaries" (Smith J. and Schaefer S., 2015).
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///
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/// The user specifies an initial vertices position (that has no flips) and target one (that my have flipped triangles).
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/// This method first computes the largest step in direction of the destination vertices that does not incur flips,
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/// and then minimizes a given energy using this maximal step and a bisection linesearch (see igl::line_search).
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///
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/// Supports both triangle and tet meshes.
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///
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/// @param[in] F #F by 3/4 list of mesh faces or tets
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/// @param[in] cur_v #V by dim list of variables
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/// @param[in] dst_v #V by dim list of target vertices. This mesh may have flipped triangles
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/// @param[in] energy A function to compute the mesh-based energy (return an energy that is bigger than 0)
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/// @param[in] cur_energy(OPTIONAL) The energy at the given point. Helps save redundant computations.
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/// This is optional. If not specified, the function will compute it.
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/// @param[out] cur_v #V by dim list of variables at the new location
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/// @return the energy at the new point
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IGL_INLINE double flip_avoiding_line_search(
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const Eigen::MatrixXi & F,
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Eigen::MatrixXd& cur_v,
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const Eigen::MatrixXd& dst_v,
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std::function<double(Eigen::MatrixXd&)> & energy,
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double cur_energy = -1);
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}
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#ifndef IGL_STATIC_LIBRARY
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# include "flip_avoiding_line_search.cpp"
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#endif
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#endif
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