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43 lines
1.3 KiB
C++
43 lines
1.3 KiB
C++
// 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_ORTH_H
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#define IGL_ORTH_H
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#include "igl_inline.h"
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#include <Eigen/Dense>
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namespace igl
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{
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// ORTH Orthogonalization.
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// ORTH(A,Q) produces Q as an orthonormal basis for the range of A.
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// That is, Q'*Q = I, the columns of Q span the same space as
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// the columns of A, and the number of columns of Q is the
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// rank of A.
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//
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//
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// The algorithm uses singular value decomposition, SVD, instead of orthogonal
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// factorization, QR. This doubles the computation time, but
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// provides more reliable and consistent rank determination.
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// Closely follows MATLAB implementation in orth.m
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//
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// Inputs:
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// A m by n matrix
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// Outputs:
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// Q m by n matrix with orthonormal columns spanning same column space as
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// A
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//
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// Known bugs: Implementation listed as "Broken"
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IGL_INLINE void orth(const Eigen::MatrixXd &A, Eigen::MatrixXd &Q);
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}
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#ifndef IGL_STATIC_LIBRARY
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# include "orth.cpp"
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#endif
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#endif
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