Iterative Regularization Methods for a Discrete Inverse Problem in MRI

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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.

Keywords

Magnetic Resonance Imaging , MRI , Tomography , Medical Imaging , Inverse Problems
  • 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.
  • Pages: 135–144
  • Date Published: 2008-07-01
  • Vol. 10 No. 2 (2008): CUBO, A Mathematical Journal

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Published

2008-07-01

How to Cite

[1]
A. Leit˜ao and J. Zubelli, “Iterative Regularization Methods for a Discrete Inverse Problem in MRI”, CUBO, vol. 10, no. 2, pp. 135–144, Jul. 2008.

Issue

Vol. 10 No. 2 (2008): CUBO, A Mathematical Journal

Section

Articles