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68 lines
2.2 KiB
68 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) 2013 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_ADJACENCY_MATRIX_H
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#define IGL_ADJACENCY_MATRIX_H
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#include "igl_inline.h"
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#define EIGEN_YES_I_KNOW_SPARSE_MODULE_IS_NOT_STABLE_YET
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#include <Eigen/Dense>
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#include <Eigen/Sparse>
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namespace igl
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{
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/// Constructs the graph adjacency matrix of a given mesh (V,F)
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///
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/// @tparam T should be a eigen sparse matrix primitive type like `int` or `double`
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/// @param[in] F #F by dim list of mesh simplices
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/// @param[out] A max(F)+1 by max(F)+1 adjacency matrix, each row i corresponding to V(i,:)
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///
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/// #### Example
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/// \code{.cpp}
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/// // Mesh in (V,F)
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/// Eigen::SparseMatrix<double> A;
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/// adjacency_matrix(F,A);
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/// // sum each row
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/// SparseVector<double> Asum;
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/// sum(A,1,Asum);
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/// // Convert row sums into diagonal of sparse matrix
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/// SparseMatrix<double> Adiag;
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/// diag(Asum,Adiag);
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/// // Build uniform laplacian
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/// SparseMatrix<double> U;
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/// U = A-Adiag;
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/// \endcode
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///
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/// \see
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/// edges,
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/// cotmatrix,
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/// diag
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template <typename DerivedF, typename T>
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IGL_INLINE void adjacency_matrix(
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const Eigen::MatrixBase<DerivedF> & F,
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Eigen::SparseMatrix<T>& A);
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/// Constructs an vertex adjacency for a polygon mesh.
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///
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/// @param[in] I #I vectorized list of polygon corner indices into rows of some matrix V
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/// @param[in] C #polygons+1 list of cumulative polygon sizes so that C(i+1)-C(i) =
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/// size of the ith polygon, and so I(C(i)) through I(C(i+1)-1) are the
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/// indices of the ith polygon
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/// @param[out] A max(I)+1 by max(I)+1 adjacency matrix, each row i corresponding to V(i,:)
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///
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template <typename DerivedI, typename DerivedC, typename T>
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IGL_INLINE void adjacency_matrix(
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const Eigen::MatrixBase<DerivedI> & I,
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const Eigen::MatrixBase<DerivedC> & C,
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Eigen::SparseMatrix<T>& A);
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}
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#ifndef IGL_STATIC_LIBRARY
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# include "adjacency_matrix.cpp"
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#endif
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#endif
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