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