104 lines
4.2 KiB
C
104 lines
4.2 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 Qingnan Zhou <qnzhou@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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//
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#ifndef IGL_COPYLEFT_CGAL_PROPAGATE_WINDING_NUMBERS_H
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#define IGL_COPYLEFT_CGAL_PROPAGATE_WINDING_NUMBERS_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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// The following methods compute the winding number on each side of each facet
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// or patch of a 3D mesh. The input mesh is valid if it splits the ambient
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// space, R^3, into subspaces with constant integer winding numbers. That is
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// the input mesh should be closed and for each directed edge the number of
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// clockwise facing facets should equal the number of counterclockwise facing
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// facets.
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namespace igl
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{
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namespace copyleft
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{
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namespace cgal
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{
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// TODO: This shouldn't need to be in igl::copyleft::cgal, it should
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// instead take as input an index of the ambient cell and the winding
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// number vector there.
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//
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// Compute winding number on each side of the face. The input mesh
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// could contain multiple connected components. The input mesh must
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// represent the boundary of a valid 3D volume, which means it is
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// closed, consistently oriented and induces integer winding numbers.
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//
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// Inputs:
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// V #V by 3 list of vertex positions.
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// F #F by 3 list of triangle indices into V.
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// labels #F list of facet labels ranging from 0 to k-1.
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// Output:
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// W #F by k*2 list of winding numbers. ``W(i,j*2)`` is the winding
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// number on the positive side of facet ``i`` with respect to the
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// facets labeled ``j``. Similarly, ``W(i,j*2+1)`` is the winding
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// number on the negative side of facet ``i`` with respect to the
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// facets labeled ``j``.
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// Returns true iff the input induces a piecewise-constant winding number
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// field.
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template<
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typename DerivedV,
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typename DerivedF,
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typename DerivedL,
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typename DerivedW>
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IGL_INLINE bool propagate_winding_numbers(
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const Eigen::PlainObjectBase<DerivedV>& V,
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const Eigen::PlainObjectBase<DerivedF>& F,
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const Eigen::PlainObjectBase<DerivedL>& labels,
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Eigen::PlainObjectBase<DerivedW>& W);
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// Inputs:
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// V #V by 3 list of vertex positions.
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// F #F by 3 list of triangle indices into V.
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// uE #uE by 2 list of vertex_indices, represents undirected edges.
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// uE2E #uE list of lists that maps uE to E. (a one-to-many map)
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// num_patches number of patches
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// P #F list of patch ids.
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// num_cells number of cells
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// C #P by 2 list of cell ids on each side of each patch.
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// labels #F list of facet labels ranging from 0 to k-1.
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// Output:
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// W #F by k*2 list of winding numbers. ``W(i,j*2)`` is the winding
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// number on the positive side of facet ``i`` with respect to the
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// facets labeled ``j``. Similarly, ``W(i,j*2+1)`` is the winding
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// number on the negative side of facet ``i`` with respect to the
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// facets labeled ``j``.
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template<
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typename DerivedV,
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typename DerivedF,
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typename DeriveduE,
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typename uE2EType,
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typename DerivedP,
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typename DerivedC,
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typename DerivedL,
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typename DerivedW>
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IGL_INLINE bool propagate_winding_numbers(
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const Eigen::PlainObjectBase<DerivedV>& V,
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const Eigen::PlainObjectBase<DerivedF>& F,
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const Eigen::PlainObjectBase<DeriveduE>& uE,
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const std::vector<std::vector<uE2EType> >& uE2E,
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const size_t num_patches,
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const Eigen::PlainObjectBase<DerivedP>& P,
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const size_t num_cells,
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const Eigen::PlainObjectBase<DerivedC>& C,
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const Eigen::PlainObjectBase<DerivedL>& labels,
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Eigen::PlainObjectBase<DerivedW>& W);
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}
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}
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}
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#ifndef IGL_STATIC_LIBRARY
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# include "propagate_winding_numbers.cpp"
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#endif
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#endif
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