65 lines
2.2 KiB
C
65 lines
2.2 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_IS_DELAUNAY_H
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#define IGL_IS_DELAUNAY_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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// IS_DELAUNAY Determine if each edge in the mesh (V,F) is Delaunay.
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//
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// Inputs:
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// V #V by dim list of vertex positions
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// F #F by 3 list of triangles indices
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// Outputs:
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// D #F by 3 list of bools revealing whether edges corresponding 23 31 12
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// are locally Delaunay. Boundary edges are by definition Delaunay.
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// Non-Manifold edges are by definition not Delaunay.
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template <
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typename DerivedV,
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typename DerivedF,
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typename DerivedD>
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IGL_INLINE void is_delaunay(
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const Eigen::MatrixBase<DerivedV> & V,
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const Eigen::MatrixBase<DerivedF> & F,
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Eigen::PlainObjectBase<DerivedD> & D);
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// Determine whether a single edge is Delaunay using a provided (extrinsic) incirle
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// test.
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//
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// Inputs:
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// V #V by dim list of vertex positions
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// F #F by 3 list of triangles indices
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// uE2E #uE list of lists of indices into E of coexisting edges (see
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// unique_edge_map)
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// incircle A functor such that incircle(pa, pb, pc, pd) returns
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// 1 if pd is on the positive size of circumcirle of (pa,pb,pc)
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// -1 if pd is on the positive size of circumcirle of (pa,pb,pc)
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// 0 if pd is cocircular with pa, pb, pc.
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// (see delaunay_triangulation)
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// uei index into uE2E of edge to check
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// Returns true iff edge is Delaunay
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template <
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typename DerivedV,
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typename DerivedF,
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typename uE2EType,
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typename InCircle,
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typename ueiType>
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IGL_INLINE bool is_delaunay(
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const Eigen::MatrixBase<DerivedV> & V,
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const Eigen::MatrixBase<DerivedF> & F,
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const std::vector<std::vector<uE2EType> > & uE2E,
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const InCircle incircle,
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const ueiType uei);
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}
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#ifndef IGL_STATIC_LIBRARY
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#include "is_delaunay.cpp"
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#endif
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#endif
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