M-band nonlinear subband decompositions with perfect reconstruction

Author

Hampson, Frances J. ; Pesquet, Jean-Christophe

Author_Institution

Lab. des Signaux et Syst., CNRS, Gif-sur-Yvette, France

Volume

7

Issue

11

fYear

1998

fDate

11/1/1998 12:00:00 AM

Firstpage

1547

Lastpage

1560

Abstract

We investigate nonlinear multirate filterbanks with maximal decimation and perfect reconstruction. Definitions of the desired properties of such structures are given for general nonlinear filterbanks. We then consider a triangular representation of linear filterbanks and see that it may be easily extended to the nonlinear case. Furthermore, general nonlinear filterbanks are presented, for which perfect reconstruction is either inherently guaranteed or ensured subject to an easily verified condition. Extensions to bidimensional filters are also discussed and an application for nonlinear multiresolution schemes to feature sieves is shown

Keywords

image reconstruction; image resolution; nonlinear filters; two-dimensional digital filters; M-band nonlinear subband decompositions; bidimensional filters; decimation; images; linear filterbanks; multirate filterbanks; nonlinear filterbanks; nonlinear multiresolution schemes; perfect reconstruction; sieves; triangular representation; Associate members; Filter bank; Image analysis; Image processing; Image reconstruction; Multiresolution analysis; Nonlinear filters; Signal analysis; Signal processing; Signal resolution;

fLanguage

English

Journal_Title

Image Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7149

Type

jour

DOI

10.1109/83.725362

Filename

725362