80 lines
3.1 KiB
C
80 lines
3.1 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 Alec Jacobson <alecjacobson@gmail.com>
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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_INTRINSIC_DELAUNAY_TRIANGULATION_H
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#define IGL_INTRINSIC_DELAUNAY_TRIANGULATION_H
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#include "igl_inline.h"
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#include <Eigen/Core>
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#include <vector>
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namespace igl
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{
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// INTRINSIC_DELAUNAY_TRIANGULATION Flip edges _intrinsically_ until all are
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// "intrinsic Delaunay". See "An algorithm for the construction of intrinsic
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// delaunay triangulations with applications to digital geometry processing"
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// [Fisher et al. 2007].
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//
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// Inputs:
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// l_in #F_in by 3 list of edge lengths (see edge_lengths)
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// F_in #F_in by 3 list of face indices into some unspecified vertex list V
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// Outputs:
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// l #F by 3 list of edge lengths
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// F #F by 3 list of new face indices. Note: Combinatorially F may contain
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// non-manifold edges, duplicate faces and self-loops (e.g., an edge [1,1]
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// or a face [1,1,1]). However, the *intrinsic geometry* is still
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// well-defined and correct. See [Fisher et al. 2007] Figure 3 and 2nd to
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// last paragraph of 1st page. Since F may be "non-eddge-manifold" in the
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// usual combinatorial sense, it may be useful to call the more verbose
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// overload below if disentangling edges will be necessary later on.
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// Calling unique_edge_map on this F will give a _different_ result than
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// those outputs.
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//
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// See also: is_intrinsic_delaunay
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template <
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typename Derivedl_in,
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typename DerivedF_in,
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typename Derivedl,
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typename DerivedF>
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IGL_INLINE void intrinsic_delaunay_triangulation(
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const Eigen::MatrixBase<Derivedl_in> & l_in,
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const Eigen::MatrixBase<DerivedF_in> & F_in,
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Eigen::PlainObjectBase<Derivedl> & l,
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Eigen::PlainObjectBase<DerivedF> & F);
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// Outputs:
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// E #F*3 by 2 list of all directed edges, such that E.row(f+#F*c) is the
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// edge opposite F(f,c)
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// uE #uE by 2 list of unique undirected edges
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// EMAP #F*3 list of indices into uE, mapping each directed edge to unique
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// undirected edge
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// uE2E #uE list of lists of indices into E of coexisting edges
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//
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// See also: unique_edge_map
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template <
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typename Derivedl_in,
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typename DerivedF_in,
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typename Derivedl,
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typename DerivedF,
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typename DerivedE,
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typename DeriveduE,
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typename DerivedEMAP,
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typename uE2EType>
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IGL_INLINE void intrinsic_delaunay_triangulation(
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const Eigen::MatrixBase<Derivedl_in> & l_in,
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const Eigen::MatrixBase<DerivedF_in> & F_in,
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Eigen::PlainObjectBase<Derivedl> & l,
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Eigen::PlainObjectBase<DerivedF> & F,
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Eigen::PlainObjectBase<DerivedE> & E,
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Eigen::PlainObjectBase<DeriveduE> & uE,
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Eigen::PlainObjectBase<DerivedEMAP> & EMAP,
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std::vector<std::vector<uE2EType> > & uE2E);
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}
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#ifndef IGL_STATIC_LIBRARY
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# include "intrinsic_delaunay_triangulation.cpp"
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#endif
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#endif
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