On stationarizability for nonstationary 2-D random fields using discrete wavelet transforms

Author

Wu, Bing-Fei ; Su, Yu-Lin

Author_Institution

Dept. of Electr. & Control. Eng., Nat. Chiao Tung Univ., Hsinchu, Taiwan

Volume

7

Issue

9

fYear

1998

fDate

9/1/1998 12:00:00 AM

Firstpage

1359

Lastpage

1366

Abstract

The emphasis in this article is on the study of nonstationary two-dimensional (2-D) random fields with wide-sense stationary increments, wide-sense stationary jumps, and 2-D fractional Brownian motion (fBm) fields. The effort made in this work is to develop a realizable method of stationarization provided for nonstationary 2-D random fields. We also present the correlation functions of the discrete wavelet transform relating to 2-D fBm fields that will decay hyperbolically fast

Keywords

Brownian motion; correlation methods; image processing; random processes; wavelet transforms; 2D fractional Brownian motion fields; correlation functions; discrete wavelet transforms; hyperbolically fast decay; image analysis; nonstationary 2D random fields; stationarizability; wide-sense stationary increments; wide-sense stationary jumps; Brownian motion; Decorrelation; Detectors; Discrete wavelet transforms; Finite impulse response filter; Multidimensional signal processing; Multiresolution analysis; Signal resolution; Two dimensional displays; Wavelet analysis;

fLanguage

English

Journal_Title

Image Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7149

Type

jour

DOI

10.1109/83.709667

Filename

709667