MRI signal reconstruction by Fourier frames on interleaving spirals
Proceedings IEEE International Symposium on Biomedical Imaging - Trang 717-720
Tóm tắt
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.
Từ khóa
#Magnetic resonance imaging #Signal reconstruction #Interleaved codes #Spirals #Image reconstruction #Fourier transforms #Differential equations #Nuclear magnetic resonance #Mathematics #Educational institutionsTài liệu tham khảo
10.1002/mrm.1910280209
10.1002/mrm.1910330507
young, 1980, An Introduction to Nonharmonic Fourier Series
10.1137/1.9781611970104
10.1007/BF01301528
10.1006/jmaa.1999.6386
benedetto, 0, Finite frame implementation for spiral-scan echo planar MRI, Preprint
10.1007/978-1-4612-0143-4_16
10.1109/18.119740
10.1109/TMI.1986.4307732
10.1006/acha.1993.1002
10.1002/mrm.1910380117
10.1016/0022-2364(83)90060-4
10.1364/JOSAA.4.000923
cho, 1993, Foundations of Medical Imaging Wiley-Interscience
10.1002/mrm.1910380213