Bhattacharyya median of symmetric positive-definite matrices and application to the denoising of diffusion-tensor fields

作者：Malek Charfi, Zeineb Chebbi, Maher Moakher, Baba C. Vemuri · 年份：2013 · DOI：10.1109/isbi.2013.6556702 · 被引用次数：17 · 研究领域：Tensor decomposition and applications、Sparse and Compressive Sensing Techniques、Image and Signal Denoising Methods

In this paper, we present algorithms for the computation of the median of a set of symmetric positive-definite matrices using different distances/divergences. The novelty of this paper lies in the median computation using the Bhattacharya distance on diffusion tensors. The numerical computation of the median is achieved using the gradient descent algorithm and the fixed point algorithm. We present an application namely, one of denoising tensor-valued data using median filters constructed using several distance/divergences and compare their performance.