65 lines
2.2 KiB
C++
65 lines
2.2 KiB
C++
// This file is part of libigl, a simple c++ geometry processing library.
|
|
//
|
|
// Copyright (C) 2018 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_IS_DELAUNAY_H
|
|
#define IGL_IS_DELAUNAY_H
|
|
#include "igl_inline.h"
|
|
#include <Eigen/Core>
|
|
#include <vector>
|
|
namespace igl
|
|
{
|
|
// IS_DELAUNAY Determine if each edge in the mesh (V,F) is Delaunay.
|
|
//
|
|
// Inputs:
|
|
// V #V by dim list of vertex positions
|
|
// F #F by 3 list of triangles indices
|
|
// Outputs:
|
|
// D #F by 3 list of bools revealing whether edges corresponding 23 31 12
|
|
// are locally Delaunay. Boundary edges are by definition Delaunay.
|
|
// Non-Manifold edges are by definition not Delaunay.
|
|
template <
|
|
typename DerivedV,
|
|
typename DerivedF,
|
|
typename DerivedD>
|
|
IGL_INLINE void is_delaunay(
|
|
const Eigen::MatrixBase<DerivedV> & V,
|
|
const Eigen::MatrixBase<DerivedF> & F,
|
|
Eigen::PlainObjectBase<DerivedD> & D);
|
|
// Determine whether a single edge is Delaunay using a provided (extrinsic) incirle
|
|
// test.
|
|
//
|
|
// Inputs:
|
|
// V #V by dim list of vertex positions
|
|
// F #F by 3 list of triangles indices
|
|
// uE2E #uE list of lists of indices into E of coexisting edges (see
|
|
// unique_edge_map)
|
|
// incircle A functor such that incircle(pa, pb, pc, pd) returns
|
|
// 1 if pd is on the positive size of circumcirle of (pa,pb,pc)
|
|
// -1 if pd is on the positive size of circumcirle of (pa,pb,pc)
|
|
// 0 if pd is cocircular with pa, pb, pc.
|
|
// (see delaunay_triangulation)
|
|
// uei index into uE2E of edge to check
|
|
// Returns true iff edge is Delaunay
|
|
template <
|
|
typename DerivedV,
|
|
typename DerivedF,
|
|
typename uE2EType,
|
|
typename InCircle,
|
|
typename ueiType>
|
|
IGL_INLINE bool is_delaunay(
|
|
const Eigen::MatrixBase<DerivedV> & V,
|
|
const Eigen::MatrixBase<DerivedF> & F,
|
|
const std::vector<std::vector<uE2EType> > & uE2E,
|
|
const InCircle incircle,
|
|
const ueiType uei);
|
|
|
|
}
|
|
#ifndef IGL_STATIC_LIBRARY
|
|
#include "is_delaunay.cpp"
|
|
#endif
|
|
#endif
|