Paper
30 January 1990 Singular Value Decomposition Approach To Edge Detection
A. H. Tewfik
Author Affiliations +
Abstract
The positions of edges along each row and column of an NxN image are found by computing the singular value decomposition of a matrix formed with the 2N point 1-D Fast Fourier transform of a symmetric signal corresponding to the row or column and locating the peaks in the inverse of the sum of the absolute values of the 2N point Fast Fourier transforms of the left singular vectors corresponding to the group of smallest singular values of this matrix. The computational complexity of the proposed procedure is essentially 0(1V2log(N)).
© (1990) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
A. H. Tewfik "Singular Value Decomposition Approach To Edge Detection", Proc. SPIE 1153, Applications of Digital Image Processing XII, (30 January 1990); https://doi.org/10.1117/12.962325
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KEYWORDS
Fourier transforms

Edge detection

Digital image processing

Image analysis

Detection and tracking algorithms

Algorithm development

Nickel

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