Finding the optimal wavelet functions for image representation

David Stanhill; Yehoshua Y. Zeevi

doi:10.1117/12.157929

22 October 1993 Finding the optimal wavelet functions for image representation

David Stanhill, Yehoshua Y. Zeevi

Proceedings Volume 2094, Visual Communications and Image Processing '93; (1993) https://doi.org/10.1117/12.157929
Event: Visual Communications and Image Processing '93, 1993, Cambridge, MA, United States

Abstract

A complete and unique parametrization is given for all compactly supported, orthogonal, two dimensional wavelet functions for the case of the quincunx decimation matrix. Once we have a complete parametrization we search for optimal wavelet functions. Here we concentrate on the task of image representation and compression. We suggest three different criterions for measuring optimality. The first is tailored for each specific image, the second measures optimality in a more statistical sense and the third uses the general quality of vanishing moments. We compare between the three criterions which seem at first very different in nature, and show that they give very similar results.

Citation Download Citation

David Stanhill and Yehoshua Y. Zeevi "Finding the optimal wavelet functions for image representation", Proc. SPIE 2094, Visual Communications and Image Processing '93, (22 October 1993); https://doi.org/10.1117/12.157929

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