Share Email Print

Proceedings Paper

Adaptive wavelet transform possessing the properties of translation and scale invariance
Author(s): Huilin Xiong; Tianxu Zhang
Format Member Price Non-Member Price
PDF $17.00 $21.00

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)

© SPIE. Terms of Use
Back to Top
Sign in to read the full article
Create a free SPIE account to get access to
premium articles and original research
Forgot your username?