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
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;
Conference_Titel :
Biomedical Imaging, 2002. Proceedings. 2002 IEEE International Symposium on
Print_ISBN :
0-7803-7584-X
DOI :
10.1109/ISBI.2002.1029358
