Iterative Regularization Methods for a Discrete Inverse Problem in MRI
-
A. Leit˜ao
aleitao@mtm.ufsc.br
-
J.P. Zubelli
zubelli@impa.br
Downloads
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
Similar Articles
- A.G. Ramm, One-dimensional inverse scattering and spectral problems , CUBO, A Mathematical Journal: Vol. 6 No. 1 (2004): CUBO, A Mathematical Journal
- Ziqi Sun, Conjectures in Inverse Boundary Value Problems for Quasilinear Elliptic Equations , CUBO, A Mathematical Journal: Vol. 7 No. 3 (2005): CUBO, A Mathematical Journal
- Jean-François Bony, Vincent Bruneau, Philippe Briet, Georgi Raikov, Resonances and SSF Singularities for Magnetic Schrödinger Operators , CUBO, A Mathematical Journal: Vol. 11 No. 5 (2009): CUBO, A Mathematical Journal
- M.I. Belishev, Dynamical Inverse Problem for the Equation ð’°áµ¼áµ¼ − Δ𒰠− ∇ln𜌠· ∇𒰠= 0 (the BC Method) , CUBO, A Mathematical Journal: Vol. 10 No. 2 (2008): CUBO, A Mathematical Journal
- Ravi P. Agarwal, Michael E. Filippakis, Donal O‘Regan, Nikolaos S. Papageorgiou, Multiple Solutions for Doubly Resonant Elliptic Problems Using Critical Groups , CUBO, A Mathematical Journal: Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal
- Vjacheslav A. Yurko, Recovering Higher-order Differential Operators on Star-type Graphs from Spectra , CUBO, A Mathematical Journal: Vol. 10 No. 1 (2008): CUBO, A Mathematical Journal
- Aparajita Dasgupta, M.W. Wong, The semigroup and the inverse of the Laplacian on the Heisenberg group , CUBO, A Mathematical Journal: Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal
- Rupali Shinde, Christophe Chesneau, Nitin Darkunde, Solutions of two open problems on inequalities involving trigonometric and hyperbolic functions , CUBO, A Mathematical Journal: In Press
- George Leitmann, A Direct Method of Optimization and its Application to a Class of Differential Games , CUBO, A Mathematical Journal: Vol. 5 No. 3 (2003): CUBO, Matemática Educacional
- Seyed Mostafa Sajjadi, Ghasem Alizadeh Afrouzi, On a class of fractional \(p(x,y)-\)Kirchhoff type problems with indefinite weight , CUBO, A Mathematical Journal: Vol. 26 No. 1 (2024)
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
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
Section
Articles
