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Multimodal statistics of adaptive wavelet packet coefficients: experimental evidence and theory

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

Authors

R. Cossu

J. Zerubia



Abstract

In recent work, it was noted that although the subband histograms for standard wavelet coefcients 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 interestingly, in some subbands, bi- or multi-modal histograms. Motivated by this observation, we provide additional experimental conrmation of the existence of multimodal subbands, and provide a theoretical explanation for their occurrence. The results reveal the connection of such subbands with the characteristic structure in a texture, and thus conrm the importance of such subbands for image modelling and applications.

Citation

Cossu, R., Jermyn, I., & Zerubia, J. (2005). Multimodal statistics of adaptive wavelet packet coefficients: experimental evidence and theory. In PSIP'2005 : fourth international conference on physics in signal and image processing, Toulouse, France, 31 January-2 February 2005 ; proceedings

Conference Name 4th International Conference on Physics in Signal and Image Processing
Conference Location Toulouse, France
Start Date Jan 31, 2023
End Date Feb 2, 2005
Publication Date Jan 1, 2005
Deposit Date Aug 12, 2011
Book Title PSIP'2005 : fourth international conference on physics in signal and image processing, Toulouse, France, 31 January-2 February 2005 ; proceedings.
Additional Information Conference dates: 31 January - 2 February 2005 Organised by SEE, Société de l'électricité, de l'électronique et des technologies de l'information et de la communication, ENSEEIHT, École nationale supérieure de l'électrotechnique, d'électronique, d'information, d'hydraulique et des télécommunications


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