von Mises-Fisher approximation of multiple scattering process on the hypersphere

Florent Chatelain 1 Nicolas Le Bihan 2
1 GIPSA-SAIGA - SAIGA
GIPSA-DA - Département Automatique, GIPSA-DIS - Département Images et Signal
2 GIPSA-CICS - CICS
GIPSA-DIS - Département Images et Signal
Abstract : This paper presents a ''method of moments'' estimation technique for the study of multiple scattering on the hypersphere. The proposed model is similar to a compound Poisson process evolving on a special manifold: the unit hypersphere. The presented work makes use of an approximation result for multiply convolved von Mises-Fisher distributions on hyperspheres. Comparison with other approximations show the accuracy of the proposed model to provide estimators for the mean free path and concentration parameters when studying a multiple scattering process. Such a process is classically used to model the propagation of waves or particules in random media.
Type de document :
Communication dans un congrès
38th International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2013), May 2013, Vancouver, Canada. Proceedings of ICASSP 2013, 2013
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Dernière modification le : vendredi 26 février 2016 - 20:38:50
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Florent Chatelain, Nicolas Le Bihan. von Mises-Fisher approximation of multiple scattering process on the hypersphere. 38th International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2013), May 2013, Vancouver, Canada. Proceedings of ICASSP 2013, 2013. <hal-00865968>

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