Morphological subband decomposition structure using GF(N) arithmetic
Date
1996-09
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
Proceedings of 3rd IEEE International Conference on Image Processing
Print ISSN
Electronic ISSN
Publisher
IEEE
Volume
Issue
Pages
253 - 256
Language
English
Type
Journal Title
Journal ISSN
Volume Title
Series
Abstract
Linear filter banks with critical subsampling and perfect reconstruction (PR) property have received much interest and found numerous applications in signal and image processing. Recently, nonlinear filter bank structures with PR and critical subsampling have been proposed and used in image coding. In this paper, it is shown that PR nonlinear subband decomposition can be performed using the Gallois Field (GF) arithmetic. The result of the decomposition of an n-ary (e.g. 256-ary) input signal is still n-ary at different resolutions. This decomposition structure can be utilized for binary and 2k (k is an integer) level signal decompositions. Simulation studies are presented.