mirror of
https://github.com/SoftFever/OrcaSlicer.git
synced 2025-10-31 04:31:15 -06:00
79 lines
3.1 KiB
C++
79 lines
3.1 KiB
C++
// This file is part of libigl, a simple c++ geometry processing library.
|
|
//
|
|
// Copyright (C) 2017 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/.
|
|
#ifndef IGL_BIJECTIVE_COMPOSITE_HARMONIC_MAPPING_H
|
|
#define IGL_BIJECTIVE_COMPOSITE_HARMONIC_MAPPING_H
|
|
#include "igl_inline.h"
|
|
#include <Eigen/Core>
|
|
|
|
namespace igl
|
|
{
|
|
// Compute a planar mapping of a triangulated polygon (V,F) subjected to
|
|
// boundary conditions (b,bc). The mapping should be bijective in the sense
|
|
// that no triangles' areas become negative (this assumes they started
|
|
// positive). This mapping is computed by "composing" harmonic mappings
|
|
// between incremental morphs of the boundary conditions. This is a bit like
|
|
// a discrete version of "Bijective Composite Mean Value Mappings" [Schneider
|
|
// et al. 2013] but with a discrete harmonic map (cf. harmonic coordinates)
|
|
// instead of mean value coordinates. This is inspired by "Embedding a
|
|
// triangular graph within a given boundary" [Xu et al. 2011].
|
|
//
|
|
// Inputs:
|
|
// V #V by 2 list of triangle mesh vertex positions
|
|
// F #F by 3 list of triangle indices into V
|
|
// b #b list of boundary indices into V
|
|
// bc #b by 2 list of boundary conditions corresponding to b
|
|
// Outputs:
|
|
// U #V by 2 list of output mesh vertex locations
|
|
// Returns true if and only if U contains a successful bijectie mapping
|
|
//
|
|
//
|
|
template <
|
|
typename DerivedV,
|
|
typename DerivedF,
|
|
typename Derivedb,
|
|
typename Derivedbc,
|
|
typename DerivedU>
|
|
IGL_INLINE bool bijective_composite_harmonic_mapping(
|
|
const Eigen::MatrixBase<DerivedV> & V,
|
|
const Eigen::MatrixBase<DerivedF> & F,
|
|
const Eigen::MatrixBase<Derivedb> & b,
|
|
const Eigen::MatrixBase<Derivedbc> & bc,
|
|
Eigen::PlainObjectBase<DerivedU> & U);
|
|
//
|
|
// Inputs:
|
|
// min_steps minimum number of steps to take from V(b,:) to bc
|
|
// max_steps minimum number of steps to take from V(b,:) to bc (if
|
|
// max_steps == min_steps then no further number of steps will be tried)
|
|
// num_inner_iters number of iterations of harmonic solves to run after
|
|
// for each morph step (to try to push flips back in)
|
|
// test_for_flips whether to check if flips occurred (and trigger more
|
|
// steps). if test_for_flips = false then this function always returns
|
|
// true
|
|
//
|
|
template <
|
|
typename DerivedV,
|
|
typename DerivedF,
|
|
typename Derivedb,
|
|
typename Derivedbc,
|
|
typename DerivedU>
|
|
IGL_INLINE bool bijective_composite_harmonic_mapping(
|
|
const Eigen::MatrixBase<DerivedV> & V,
|
|
const Eigen::MatrixBase<DerivedF> & F,
|
|
const Eigen::MatrixBase<Derivedb> & b,
|
|
const Eigen::MatrixBase<Derivedbc> & bc,
|
|
const int min_steps,
|
|
const int max_steps,
|
|
const int num_inner_iters,
|
|
const bool test_for_flips,
|
|
Eigen::PlainObjectBase<DerivedU> & U);
|
|
}
|
|
|
|
#ifndef IGL_STATIC_LIBRARY
|
|
# include "bijective_composite_harmonic_mapping.cpp"
|
|
#endif
|
|
#endif
|