Density Estimation on the rotation group using Diffusive wavelets - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Advances in Information Fusion Année : 2016

Density Estimation on the rotation group using Diffusive wavelets

Résumé

This paper considers the problem of estimating probability den- sity functions on the rotation group SO(3). Two distinct approaches are proposed, one based on characteristic functions and the other on wavelets using the heat kernel. Expressions are derived for their Mean Integrated Squared Errors. The performance of the estima- tors is studied numerically and compared with the performance of an existing technique using the De La Vall´ee Poussin kernel estimator. The heat kernel wavelet approach appears to offer the best compromise, with faster convergence to the optimal bound and guaranteed positivity of the estimated probability density function.
Fichier non déposé

Dates et versions

hal-01550211 , version 1 (29-06-2017)

Identifiants

  • HAL Id : hal-01550211 , version 1

Citer

Nicolas Le Bihan, Julien Flamant, Jonathan Manton. Density Estimation on the rotation group using Diffusive wavelets. Journal of Advances in Information Fusion, 2016, 11 (2), pp.173-185. ⟨hal-01550211⟩
150 Consultations
0 Téléchargements

Partager

Gmail Facebook X LinkedIn More