DocumentCode
2185353
Title
MRI signal reconstruction by Fourier frames on interleaving spirals
Author
Benedetto, John J. ; Powell, Alexander M. ; Wu, Hui-Chuan
Author_Institution
Dept. of Math., Maryland Univ., College Park, MD, USA
fYear
2002
fDate
2002
Firstpage
717
Lastpage
720
Abstract
Interleaving spirals are a natural setting for attaining fast MRI signal reconstruction. Using the results of Beurling and Landau, as well as quantitative coverings of the spectral domain by translations of the polar set of the target disk space E, harmonics for Fourier frames F are constructed on interleaving spirals to reconstruct signals on E. Because of the weak Fourier frame bound estimates by standard calculations, implementation is addressed in terms of finite frame approximants of F.
Keywords
Fourier transforms; biomedical MRI; data acquisition; image reconstruction; medical image processing; Fourier frames; fast MRI signal reconstruction; frame approximants; harmonics; interleaving spirals; polar set; spectral domain; target disk space; Differential equations; Educational institutions; Fourier transforms; Image reconstruction; Interleaved codes; Magnetic resonance imaging; Mathematics; Nuclear magnetic resonance; Signal reconstruction; Spirals;
fLanguage
English
Publisher
ieee
Conference_Titel
Biomedical Imaging, 2002. Proceedings. 2002 IEEE International Symposium on
Print_ISBN
0-7803-7584-X
Type
conf
DOI
10.1109/ISBI.2002.1029358
Filename
1029358
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