Open Access

Construction of Nonseparable Multiwavelets for Nonlinear Image Compression

EURASIP Journal on Advances in Signal Processing20022002:580307

https://doi.org/10.1155/S1110865702000410

Received: 31 July 2001

Published: 14 January 2002

Abstract

A procedure for the construction of balanced orthogonal nonseparable quincunx multiwavelets, having filters with good lowpass properties, is introduced. The matrix filter bank is viewed as the polyphase matrix of other filters, upon which the lowpass condition is imposed. The multiscaling functions obtained are plotted by means of the cascade algorithm. The process of transforming an image with these wavelets is outlined: formulae for analysis and synthesis are given, the first steps are illustrated with images, and the decomposition of the original image into two input images is addressed. Compression is achieved in a nonlinear process. Experimental results show that (i) the constructed multiwavelets having lowpass properties perform better than other nonseparable multiwavelets, (ii) the energy compaction in the fine detail subbands is greater for the multiwavelets than for the one-dimensional wavelets tried.

Keywords

multiwavelets nonseparable quincunx polyphase balanced

Authors’ Affiliations

(1)
Departamento de Computación, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires

Copyright

© Ruedin 2002