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// This file is part of libigl, a simple c++ geometry processing library.
//
// Copyright (C) 2015 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_WINDING_NUMBER_H
#define IGL_WINDING_NUMBER_H
#include "igl_inline.h"
#include <Eigen/Core>
// Minimum number of iterms per openmp thread
#ifndef IGL_WINDING_NUMBER_OMP_MIN_VALUE
# define IGL_WINDING_NUMBER_OMP_MIN_VALUE 1000
#endif
namespace igl
{
// WINDING_NUMBER Computes the generalized winding number at each
// dim-dimensional query point in O with respect to the oriented
// one-codimensional mesh (V,F). This is equivalent to summing the subtended
// signed angles/solid angles of each element in (V,F). See, "Robust
// Inside-Outside Segmentation using Generalized Winding Numbers" [Jacobson et
// al. 2013].
//
//
// Inputs:
// V #V by dim list of mesh vertex positions
// F #F by dim list of mesh facets as indices into rows of V. If dim==2,
// then (V,F) describes a set of edges in the plane. If dim==3, then (V,F)
// describes a triangle mesh/soup.
// O #O by dim list of query points
// Output:
// W #O by 1 list of winding numbers
//
// See also: igl::fast_winding_number
//
template <
typename DerivedV,
typename DerivedF,
typename DerivedO,
typename DerivedW>
IGL_INLINE void winding_number(
const Eigen::MatrixBase<DerivedV> & V,
const Eigen::MatrixBase<DerivedF> & F,
const Eigen::MatrixBase<DerivedO> & O,
Eigen::PlainObjectBase<DerivedW> & W);
// Compute winding number of a single point
//
// Inputs:
// V n by dim list of vertex positions
// F #F by dim list of triangle indices, minimum index is 0
// p single origin position
// Outputs:
// w winding number of this point
//
template <
typename DerivedV,
typename DerivedF,
typename Derivedp>
IGL_INLINE typename DerivedV::Scalar winding_number(
const Eigen::MatrixBase<DerivedV> & V,
const Eigen::MatrixBase<DerivedF> & F,
const Eigen::MatrixBase<Derivedp> & p);
}
#ifndef IGL_STATIC_LIBRARY
# include "winding_number.cpp"
#endif
#endif