Minimum-norm least-squares MR image reconstruction

Author

Van de Walle, R. ; Desplanques, B. ; Van Hoey, G. ; Lemahieu, I.

Author_Institution

Dept. of Electron. & Inf. Syst., Ghent Univ., Belgium

Volume

2

fYear

1999

fDate

36434

Abstract

Deals with magnetic resonance image reconstruction from non-uniformly sampled data. The authors´ reconstruction method is based on a general formalism for finding the pseudoinverse of a linear mapping between two Hilbert spaces. The direct use of this general formalism implies the inversion of very large matrices, which results in numerical instabilities and extremely long calculation times. It is shown that these problems can be overcome by applying a sparse approximation of the matrices that are involved

Keywords

biomedical MRI; image reconstruction; least mean squares methods; medical image processing; Hilbert spaces; MRI; extremely long calculation times; magnetic resonance imaging; medical diagnostic imaging; minimum-norm least-squares MR image reconstruction; nonuniformly sampled data; numerical instabilities; sparse approximation; Equations; Hilbert space; Image reconstruction; Image sampling; Information systems; Magnetic resonance; Magnetic resonance imaging; Numerical stability; Reconstruction algorithms; Sparse matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

[Engineering in Medicine and Biology, 1999. 21st Annual Conference and the 1999 Annual Fall Meetring of the Biomedical Engineering Society] BMES/EMBS Conference, 1999. Proceedings of the First Joint

Conference_Location

Atlanta, GA

ISSN

1094-687X

Print_ISBN

0-7803-5674-8

Type

conf

DOI

10.1109/IEMBS.1999.804236

Filename

804236