@inproceedings {596, title = {Hierarchical multiscale modeling of wavelet-based correlations}, booktitle = {Structural, Syntactic, and Statistical Pattern Recognition, Joint IAPR International Workshops}, year = {2002}, abstract = {

This paper presents a multiscale-based analysis of the statistical dependencies between the wavelet coefficients of random fields. 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. In this paper we investigate eight possible choices of statistical-interaction models, from trivial models to wavelet-based hierarchical Markov stochastic processes. Finally, the importance of our statistical approach is examined in the context of Bayesian estimation.

}, isbn = {3-540-44011-9}, author = {Z Azimifar and P Fieguth and E Jernigan} }