Texture Analysis Using Probabilistic Models of the Unimodal and Multimodal Statistics of Adaptive Wavelet Packet Coefficients

Cossu, R.; Jermyn, I.H.; Zerubia, J.

Abstract

Although subband histograms of the wavelet coefficients of natural images possess a characteristic leptokurtotic form, this is no longer true for wavelet packet bases adapted to a given texture. Instead, three types of subband statistics are observed: Gaussian, leptokurtotic, and interestingly, in some subbands, multimodal histograms. These subbands are closely linked to the structure of the texture, and guarantee that the most probable image is not flat. Motivated by these observations, we propose a probabilistic model that takes them into account. Adaptive wavelet packet subbands are modelled as Gaussian, generalized Gaussian, or a constrained Gaussian mixture. 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.

Citation

Cossu, R., Jermyn, I., & Zerubia, J. (2004). Texture Analysis Using Probabilistic Models of the Unimodal and Multimodal Statistics of Adaptive Wavelet Packet Coefficients. In 2004 IEEE International Conference on Acoustics, Speech, and Signal Processing : proceedings : May 17-21, 2004, Fairmont Queen Elizabeth Hotel, Montreal, Quebec, Canada (597-600). https://doi.org/10.1109/icassp.2004.1326615

• Conference Name: 2004 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)
• Conference Location: Montreal, Canada
• Start Date: May 17, 2004
• End Date: May 21, 2004
• Publication Date: May 21, 2004
• Deposit Date: Aug 12, 2011
• Publicly Available Date: May 16, 2016
• Volume: 3
• Pages: 597-600
• Series ISSN: 1520-6149
• Book Title: 2004 IEEE International Conference on Acoustics, Speech, and Signal Processing : proceedings : May 17-21, 2004, Fairmont Queen Elizabeth Hotel, Montreal, Quebec, Canada.
• DOI: https://doi.org/10.1109/icassp.2004.1326615
• Additional Information: Date of Conference: 17-21 May 2004