Denoising of diffusion MRI using random matrix theory

Variational Denoising of Diffusion Weighted Mri

In this paper, we present a novel variational formulation for restor­ ing high angular resolution diffusion imaging (HARDI) data. The restoration formulation involves smoothing signal measurements over the spherical do­ main and across the 3D image lattice. The regularization across the lattice is achieved using a total variation (TV) norm based scheme, while the finite ele­ ment method (FEM) w...

Constructing acoustic timefronts using random matrix theory.

In a recent letter [Hegewisch and Tomsovic, Europhys. Lett. 97, 34002 (2012)], random matrix theory is introduced for long-range acoustic propagation in the ocean. The theory is expressed in terms of unitary propagation matrices that represent the scattering between acoustic modes due to sound speed fluctuations induced by the ocean's internal waves. The scattering exhibits a power-law decay as...

Random Matrix Theory

Random matrix theory is usually taught as a sequence of several graduate courses; we have 16 lectures, so we will give a very brief introduction. Some relevant books for the course: • G. Anderson, A. Guionnet, O. Zeitouni. An introduction to random matrices. [1] • A. Guionnet. Large random matrices: lectures on macroscopic asymptotics. • M. L. Mehta. Random matrices. The study of random matrice...

Random matrix theory

Random matrix theory is now a big subject with applications in many disciplines of science, engineering and finance. This article is a survey specifically oriented towards the needs and interests of a numerical analyst. This survey includes some original material not found anywhere else. We include the important mathematics which is a very modern development, as well as the computational softwa...

Random Matrix Theory