Title :
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
fDate :
4/1/1999 12:00:00 AM
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;
Journal_Title :
Information Theory, IEEE Transactions on
