Towards random field modeling of wavelet statistics

TitleTowards random field modeling of wavelet statistics
Publication TypeConference Paper
Year of Publication2002
AuthorsAzimifar, Z., P. Fieguth, and E. Jernigan
Conference NameInternational Conference on Image Processing
Conference LocationRochester, NY
Keywordsimage characterization, image processing, Markov processes, Markov random field modeling, MRF, signal characterization, statistical analysis, statistical image processing, wavelet statistics, wavelet transforms

The paper investigates the statistical characterization of signals and images in the wavelet domain. In particular, in contrast to common decorrelated-coefficient models, we find that the correlation between wavelet scales can be surprisingly substantial, even across several scales. We investigate possible choices of statistical-interaction models. One efficient and fast strategy which describes the wavelet-based statistical correlations is illustrated. Finally, the effectiveness of the proposed tool towards an efficient hierarchical MRF (Markov random field) modeling of within-scale neighborhoods and across-scale dependencies is demonstrated.