Homomorphic filtering of DT-MRI fields

Abstract

The performance of homomorphic processing cascade that guaranteed symmetric positive definite (PSD) tensor output in DT-MRI fields was discussed. DT-MRI fields measured the self-diffusion of water in biological tissue, and hence, tensors from these fields are PSD. The input subsystem to the homomorphic cascade computed the positive square root of the tensors. In order to describe the proposed cascade performance, white Guassian noise was added to synthetic tensor field, which was filtered using Wiener filter independently on each tensor component. The results show that the homomorphic cascade performs better than just filtering and projecting the filter output to guarantee PSD tensors.