A morphological subband decomposition structure using GF(N) arithmetic

Author

Gürcan, Metin Nafi ; Gerek, Ömer N. ; Çetin, A. Enis

Author_Institution

Dept. of Electr. & Electron. Eng., Bilkent Univ., Ankara, Turkey

Volume

1

fYear

1996

fDate

16-19 Sep 1996

Firstpage

253

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. Nonlinear filter bank structures with PR and critical subsampling have been proposed and used in image coding. It is shown that PR nonlinear subband decomposition can be performed using the Galois 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 2^k (k is an integer) level signal decompositions. Simulation studies are presented

Keywords

Galois fields; band-pass filters; digital arithmetic; filtering theory; image coding; image reconstruction; image resolution; image sampling; mathematical morphology; nonlinear filters; Galois field arithmetic; binary level signal decomposition; critical subsampling; image coding; image processing; input signal decomposition; linear filter banks; morphological subband decomposition structure; nonlinear filter bank structures; nonlinear subband decomposition; perfect reconstruction; signal analysis; signal processing; signal resolution; simulation studies; Arithmetic; Filter bank; Image coding; Image reconstruction; Nonlinear equations; Nonlinear filters; Signal analysis; Signal processing; Signal resolution; Wavelet transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

Image Processing, 1996. Proceedings., International Conference on

Conference_Location

Lausanne

Print_ISBN

0-7803-3259-8

Type

conf

DOI

10.1109/ICIP.1996.559481

Filename

559481