A modified Gerchberg-Saxton algorithm for one-dimensional motion artifact correction in MRI

Author

Hedley, Mark ; Yan, Hong ; Rosenfeld, Dov

Author_Institution

Sch. of Electr. Eng., Sydney Univ., NSW, Australia

Volume

39

Issue

6

fYear

1991

fDate

6/1/1991 12:00:00 AM

Firstpage

1428

Lastpage

1433

Abstract

A novel method for the suppression of one-dimensional translational motion artifacts in two-dimensional Fourier transform magnetic resonance images is presented. It is shown that the motion causes an additional phase factor in the detected signal and that this phase error can be removed using a modified Gerchberg-Saxton (1972) algorithm. The major differences between this algorithm and other phase retrieval algorithms are: (1) the phase information is not totally unavailable, but in a corrupted form; and (2) the algorithm does not try to recover the entire phase information from the magnitude of the detected signal, but rather to correct the distorted phase using the average phase error. The method has been successfully tested using computer simulations

Keywords

Fourier transforms; biomedical NMR; picture processing; 1D motion artifact correction; 2D Fourier transform; average phase error; computer simulations; distorted phase correction; magnetic resonance images; modified Gerchberg-Saxton algorithm; phase retrieval algorithms; Computer errors; Error correction; Fourier transforms; Information retrieval; Magnetic resonance; Motion detection; Phase detection; Phase distortion; Signal detection; Testing;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.136552

Filename

136552