Morphological subband decomposition structure using GF(N) arithmetic
Author
Gürcan, Metin Nafi
Çetin, A. Enis
Gerek, Ömer, N.
Date
1996-09Source Title
Proceedings of 3rd IEEE International Conference on Image Processing
Publisher
IEEE
Pages
253 - 256
Language
English
Type
Conference PaperItem Usage Stats
128
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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.
Keywords
Data structuresDigital 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