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Proceedings Paper

Adaptive wavelet transform possessing the properties of translation and scale invariance
Author(s): Huilin Xiong; Tianxu Zhang
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Paper Abstract

In this paper, we propose a new approach to deal with the translation-invariant problem of wavelet transform. We first adaptively renormalize the original signal by a orthonomal scale function and first order and second order moments of the signal. This procedure can be fulfilled by a changeable filter, of which the coefficients are selected from a 'mother mask' prepared before. Then, we decompose the renormalized signal using Mallat's algorithm, and prove that the coefficients of this adaptive wavelet transform, called adaptive wavelet invariant moments, are translation- invariant and scale-invariant. Finally, experiment result for 2D digital signals are given.

Paper Details

Date Published: 8 July 1998
PDF: 9 pages
Proc. SPIE 3389, Hybrid Image and Signal Processing VI, (8 July 1998); doi: 10.1117/12.316546
Show Author Affiliations
Huilin Xiong, Huazhong Univ. of Science and Technology (China)
Tianxu Zhang, Huazhong Univ. of Science and Technology (China)


Published in SPIE Proceedings Vol. 3389:
Hybrid Image and Signal Processing VI
David P. Casasent; Andrew G. Tescher, Editor(s)

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