Morphological subband decomposition structure using GF(N) arithmetic
Date
1996-09
Advisor
Instructor
Source Title
Proceedings of 3rd IEEE International Conference on Image Processing
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Electronic ISSN
Publisher
IEEE
Volume
Issue
Pages
253 - 256
Language
English
Type
Conference Paper
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Volume Title
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.
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Keywords
Data structures, Digital arithmetic, Digital filters, Image analysis, Image coding, Mathematical models, Mathematical morphology, Mathematical operators, Gallois field (GF) arithmetic, Linear filter banks, Nonlinear filter banks, Image reconstruction