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Reports Year : 2004

Models of the Unimodal and Multimodal Statistics of Adaptive Wavelet Packet Coefficients

Ian Jermyn
Karen Brady
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Josiane Zerubia
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  • PersonId : 833424

Abstract

In recent work, it was noted that although the subband histograms for standard wavelet coefficients take on a generalized Gaussian form, this is no longer true for wavelet packet bases adapted to a given texture. Instead, three types of subband statistics are observed: Gaussian, generalized Gaussian, and most interestingly, in some subbands, multimodal histograms with no mode at zero. As will be demonstrated in this report, these latter subbands are closely linked to the structure of the texture, and are thus likely to be important for many applications in which texture plays a role. Motivated by these observations, we extend the approach to texture modelling proposed by to include these subbands. We relax the Gaussian assumption to include generalized Gaussians and constrained Gaussian mixtures. We use a Bayesian methodology, finding MAP estimates for the adaptive basis, for subband model selection, and for subband model parameters. Results confirm the effectiveness of the proposed approach, and highlight the importance of multimodal subbands for texture discrimination and modelling.
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Dates and versions

inria-00071461 , version 1 (23-05-2006)

Identifiers

  • HAL Id : inria-00071461 , version 1

Cite

Roberto Cossu, Ian Jermyn, Karen Brady, Josiane Zerubia. Models of the Unimodal and Multimodal Statistics of Adaptive Wavelet Packet Coefficients. RR-5122, INRIA. 2004. ⟨inria-00071461⟩
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