Masses of negative multinomial distributions: Application to Polarimetric Image Processing

Philippe Bernardoff (1) , Florent Chatelain (2) , Jean-Yves Tourneret (3, 4)

1 UPPA - Université de Pau et des Pays de l'Adour
2 GIPSA-SAIGA - GIPSA - Signal et Automatique pour la surveillance, le diagnostic et la biomécanique
3 IRIT-SC - Signal et Communications
4 Toulouse INP - Institut National Polytechnique (Toulouse)

This paper derives new closed-form expressions for the masses of negative multinomial distributions. These masses can be maximized to determine the maximum likelihood estimator of its unknown parameters. An application to polarimetric image processing is investigated. We study the maximum likelihood estimators of the polarization degree of polarimetric images using different combinations of images.

Mots clés: Masses Of Negative Multinomial; Polarimetric Image

Domaines: Synthèse d'image et réalité virtuelle [cs.GR]; Traitement du signal et de l'image [eess.SP]; Traitement des images [eess.IV]; Vision par ordinateur et reconnaissance de formes [cs.CV]; Intelligence artificielle [cs.AI]

Philippe Bernardoff, Florent Chatelain, Jean-Yves Tourneret. Masses of negative multinomial distributions: Application to Polarimetric Image Processing. Journal of Probability and Statistics, 2013, vol. 2013, pp. 1-13. ⟨10.1155/2013/170967⟩. ⟨hal-01122575⟩