Wavelet packet decompositions for the analysis of 2-D fields with stationary fractional increments

Author

Pesquet-Popescu, Beatrice

Author_Institution

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

Volume

45

Issue

3

fYear

1999

fDate

4/1/1999 12:00:00 AM

Firstpage

1033

Lastpage

1039

Abstract

Nonstationary two-dimensional random fields with wide-sense stationary fractional increments are introduced using a fractional order for their increments in two directions of space. Some of their properties are studied and their value in modeling nonstationary, possibly anisotropic, fields is shown via examples. A separable wavelet packet analysis proves to be a useful tool in analyzing this kind of texture as it leads to stationary wavelet packet coefficients

Keywords

random processes; stochastic processes; wavelet transforms; 2-D fields; anisotropic fields; fractional order; nonstationary fields; nonstationary two-dimensional random fields; separable wavelet packet analysis; stationary fractional increments; stationary wavelet packet coefficients; texture; wavelet packet decompositions; wide-sense stationary fractional increments; Anisotropic magnetoresistance; Brownian motion; Image analysis; Image motion analysis; Image texture analysis; Signal analysis; Space stations; Two dimensional displays; Wavelet analysis; Wavelet packets;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/18.761339

Filename

761339