Using the Bhattacharyya Mean for the Filtering and Clustering of Positive-Definite Matrices

This work deals with Bhattacharyya mean, Bhattacharyya and Riemannian medians on the space of symmetric positive-definite matrices. A comparison between these averaging methods is given in two different areas which are mean (median) filtering to denoise a set of High Angular Resolution Diffusion Images (HARDI) and clustering data. For the second application, we will compare the efficiency of the Wishart classifier algorithm using the aforementioned averaging methods and the Bhattacharyya classifier algorithm.

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