Texture classification using Rao's distance on the space of covariance matrices - Lionel Bombrun, Salem Said, Yannick Berthoumieu
Author: Lionel Bombrun, Salem Said, Yannick Berthoumieu
DOI URL: http://dx.doi.org/10.1007/978-3-319-25040-3_40
Creative Commons Attribution-ShareAlike 4.0 International
The current paper introduces new prior distributions on the zero-mean multivariate Gaussian model, with the aim of applying them to the classification of covariance matrices populations. These new prior distributions are entirely based on the Riemannian geometry of the multivariate Gaussian model. More precisely, the proposed Riemannian Gaussian distribution has two parameters, the centre of mass ˉY and the dispersion parameter σ. Its density with respect to Riemannian volume is proportional to exp(−d2(Y;ˉY)), where d2(Y;ˉY) is the square of Rao’s Riemannian distance. We derive its maximum likelihood estimators and propose an experiment on the VisTex database for the classification of texture images.