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53 lines
2.2 KiB
53 lines
2.2 KiB
1 year ago
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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) 2015 Alec Jacobson
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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_PIECEWISE_CONSTANT_WINDING_NUMBER_H
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#define IGL_PIECEWISE_CONSTANT_WINDING_NUMBER_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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/// Determine if a given mesh induces a piecewise constant winding number
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/// field: Is this mesh valid input to solid set operations. **Assumes** that
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/// `(V,F)` contains no self-intersections (including degeneracies and
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/// co-incidences). If there are co-planar and co-incident vertex placements,
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/// a mesh could _fail_ this combinatorial test but still induce a
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/// piecewise-constant winding number _geometrically_. For example, consider a
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/// hemisphere with boundary and then pinch the boundary "shut" along a line
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/// segment. The **_bullet-proof_** check is to first resolve all
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/// self-intersections in `(V,F) -> (SV,SF)` (i.e. what the
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/// `igl::copyleft::cgal::piecewise_constant_winding_number` overload does).
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///
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/// @param[in] F #F by 3 list of triangle indices into some (abstract) list of
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/// vertices V
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/// @param[in] uE #uE by 2 list of unique edges indices into V
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/// @param[in] uEC #uE+1 list of cumsums of directed edges sharing each unique edge
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/// @param[in] uEE #E list of indices into E (see `igl::unique_edge_map`)
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/// @return true if the mesh _combinatorially_ induces a piecewise constant
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/// winding number field.
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///
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template <
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typename DerivedF,
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typename DeriveduE,
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typename DeriveduEC,
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typename DeriveduEE>
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IGL_INLINE bool piecewise_constant_winding_number(
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const Eigen::MatrixBase<DerivedF>& F,
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const Eigen::MatrixBase<DeriveduE>& uE,
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const Eigen::MatrixBase<DeriveduEC>& uEC,
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const Eigen::MatrixBase<DeriveduEE>& uEE);
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/// \overload
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template <typename DerivedF>
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IGL_INLINE bool piecewise_constant_winding_number(
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const Eigen::MatrixBase<DerivedF>& F);
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}
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#ifndef IGL_STATIC_LIBRARY
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# include "piecewise_constant_winding_number.cpp"
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#endif
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#endif
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