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Proceedings Paper

Realization of the Zak-Gabor representation of images
Author(s): Khaled T. Assaleh; Yehoshua Y. Zeevi; Izidor Gertner
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Paper Abstract

A stable Gabor-type representation of an image requires that the Zak transform (ZT) of the reference function does not vanish over the fundamental cube. We prove that the discrete ZT of any symmetric set of reference data points has a zero. To overcome the computational problem, which is due to the zero plane generated by the ZT of the Gaussian reference function, the Gaussian is translated by a sub-pixel distance. We show that the absolute value of the minimum of the ZT of the Gaussian is a function of the sub-pixel distance of translation and that the optimum value of such translation is 1/2 pixel.

Paper Details

Date Published: 1 November 1991
PDF: 9 pages
Proc. SPIE 1606, Visual Communications and Image Processing '91: Image Processing, (1 November 1991); doi: 10.1117/12.50320
Show Author Affiliations
Khaled T. Assaleh, Rutgers Univ. (United States)
Yehoshua Y. Zeevi, Technion - Israel Institute of Technology (Israel)
Izidor Gertner, Rutgers Univ. (United States)

Published in SPIE Proceedings Vol. 1606:
Visual Communications and Image Processing '91: Image Processing
Kou-Hu Tzou; Toshio Koga, Editor(s)

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