Iterative Regularization Methods for a Discrete Inverse Problem in MRI

A. Leit˜ao; J.P. Zubelli

Iterative Regularization Methods for a Discrete Inverse Problem in MRI

Authors

A. Leit˜ao Universidade Federal de Santa Catarina, Departamento de Matem´atica, P.O. Box 476, 88040-900, Florian´opolis – Brasil.
J.P. Zubelli IMPA - Instituto Nacional de Matem´atica Pura e Aplicada, Estrada Dona Castorina 110, 22460-320, Rio de Janeiro – Brasil.

Keywords:

Magnetic Resonance Imaging, MRI, Tomography, Medical Imaging, Inverse Problems

Abstract

We propose and investigate efficient numerical methods for inverse problems related to Magnetic Resonance Imaging (MRI). Our goal is to extend the recent convergence results for the Landweber-Kaczmarz method obtained in [7], in order to derive a convergent iterative regularization method for an inverse problem in MRI.