Novel approach to template recognition by image expansion with nonorthogonal wavelets

Jezekiel Ben-Arie; Raghunath K. Rao

doi:10.1117/12.131371

1 November 1992 Novel approach to template recognition by image expansion with nonorthogonal wavelets

Jezekiel Ben-Arie, Raghunath K. Rao

Proceedings Volume 1818, Visual Communications and Image Processing '92; (1992) https://doi.org/10.1117/12.131371
Event: Applications in Optical Science and Engineering, 1992, Boston, MA, United States

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.

Citation Download Citation

Jezekiel Ben-Arie and Raghunath K. Rao "Novel approach to template recognition by image expansion with nonorthogonal wavelets", Proc. SPIE 1818, Visual Communications and Image Processing '92, (1 November 1992); https://doi.org/10.1117/12.131371

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