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68 lines
2.3 KiB
68 lines
2.3 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 <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_WINDING_NUMBER_H
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#define IGL_WINDING_NUMBER_H
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#include "igl_inline.h"
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#include <Eigen/Core>
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// Minimum number of iterms per openmp thread
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#ifndef IGL_WINDING_NUMBER_OMP_MIN_VALUE
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# define IGL_WINDING_NUMBER_OMP_MIN_VALUE 1000
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#endif
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namespace igl
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{
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/// Computes the generalized winding number at each
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/// dim-dimensional query point in O with respect to the oriented
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/// one-codimensional mesh (V,F). This is equivalent to summing the subtended
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/// signed angles/solid angles of each element in (V,F). See, "Robust
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/// Inside-Outside Segmentation using Generalized Winding Numbers" [Jacobson et
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/// al. 2013].
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///
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///
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/// @param[in] V #V by dim list of mesh vertex positions
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/// @param[in] F #F by dim list of mesh facets as indices into rows of V. If dim==2,
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/// then (V,F) describes a set of edges in the plane. If dim==3, then (V,F)
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/// describes a triangle mesh/soup.
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/// @param[in] O #O by dim list of query points
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/// @param[out] W #O by 1 list of winding numbers
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///
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/// \see fast_winding_number
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///
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template <
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typename DerivedV,
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typename DerivedF,
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typename DerivedO,
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typename DerivedW>
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IGL_INLINE void winding_number(
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const Eigen::MatrixBase<DerivedV> & V,
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const Eigen::MatrixBase<DerivedF> & F,
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const Eigen::MatrixBase<DerivedO> & O,
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Eigen::PlainObjectBase<DerivedW> & W);
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/// Compute winding number of a single point
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///
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/// @param[in] V n by dim list of vertex positions
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/// @param[in] F #F by dim list of triangle indices, minimum index is 0
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/// @param[in] p single origin position
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/// @param[out] w winding number of this point
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///
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template <
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typename DerivedV,
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typename DerivedF,
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typename Derivedp>
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IGL_INLINE typename DerivedV::Scalar winding_number(
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const Eigen::MatrixBase<DerivedV> & V,
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const Eigen::MatrixBase<DerivedF> & F,
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const Eigen::MatrixBase<Derivedp> & p);
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}
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#ifndef IGL_STATIC_LIBRARY
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# include "winding_number.cpp"
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#endif
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#endif
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