Title :
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
fDate :
9/1/1998 12:00:00 AM
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;
Journal_Title :
Image Processing, IEEE Transactions on
