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Proceedings Paper

Novel approach to template recognition by image expansion with nonorthogonal wavelets
Author(s): Jezekiel Ben-Arie; Raghunath K. Rao
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Paper Abstract

This article concentrates on three related issues: a generalized scheme for non-orthogonal image representation, expansion matching of templates and implementation of expansion with restoration techniques. First, the requirements for general representation of discrete L2(R) signals by expansion with non-orthogonal basis functions (BFs) are examined. It is proved that both circulant and truncated self-similar BFs in a dense configuration have to satisfy only minor conditions to serve as complete bases for discrete L2(R) signals. A novel Discriminative Signal-to-Noise Ratio (DSNR) is then defined. The DSNR is more relevant to template matching since it considers as 'noise' even the filter's off-center response to the template. Maximization of this performance criterion leads to an expansion scheme that employs a BF set that consists of template-similar basis functions. In addition, it is proved that such an expansion matching is precisely equivalent to minimum squared error restoration with Wiener filters, thus enabling an efficient implementation of our technique.

Paper Details

Date Published: 1 November 1992
PDF: 13 pages
Proc. SPIE 1818, Visual Communications and Image Processing '92, (1 November 1992); doi: 10.1117/12.131371
Show Author Affiliations
Jezekiel Ben-Arie, Illinois Institute of Technology (United States)
Raghunath K. Rao, Illinois Institute of Technology (United States)

Published in SPIE Proceedings Vol. 1818:
Visual Communications and Image Processing '92
Petros Maragos, Editor(s)

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