Adaptive wavelet transform possessing the properties of translation and scale invariance

Huilin Xiong; Tianxu Zhang

doi:10.1117/12.316546

8 July 1998 Adaptive wavelet transform possessing the properties of translation and scale invariance

Huilin Xiong, Tianxu Zhang

Proceedings Volume 3389, Hybrid Image and Signal Processing VI; (1998) https://doi.org/10.1117/12.316546
Event: Aerospace/Defense Sensing and Controls, 1998, Orlando, FL, United States

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.

Citation Download Citation

Huilin Xiong and Tianxu Zhang "Adaptive wavelet transform possessing the properties of translation and scale invariance", Proc. SPIE 3389, Hybrid Image and Signal Processing VI, (8 July 1998); https://doi.org/10.1117/12.316546

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available