50 lines
2.1 KiB
C
50 lines
2.1 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) 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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// PIECEWISE_CONSTANT_WINDING_NUMBER Determine if a given mesh induces a
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// piecewise constant winding number field: Is this mesh valid input to solid
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// set operations. **Assumes** that `(V,F)` contains no self-intersections
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// (including degeneracies and co-incidences). If there are co-planar and
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// co-incident vertex placements, a mesh could _fail_ this combinatorial test
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// but still induce a piecewise-constant winding number _geometrically_. For
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// example, consider a hemisphere with boundary and then pinch the boundary
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// "shut" along a line segment. The **_bullet-proof_** check is to first
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// resolve all 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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// Inputs:
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// F #F by 3 list of triangle indices into some (abstract) list of
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// vertices V
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// uE #uE by 2 list of unique edges indices into V
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// uE2E #uE list of lists of indices into directed edges (#F * 3)
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// Returns 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 uE2EType>
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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 std::vector<std::vector<uE2EType> >& uE2E);
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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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