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• Technical Article •
The research of influence between different incoherent sampling patterns and point spread functions in MRI
LIU Qing  LING Yong-quan  KUANG Wei-chao  LI Ya 

DOI:10.12015/issn.1674-8034.2016.10.012.


[Abstract] Compressed sensing (CS), which is a new theory that emphasizes reducing sampling data at the source, is regarded as the most promising technique in fast magnetic resonance imaging (MRI). How to evaluate the incoherence of compressed sensing-magnetic resonance imaging (CS-MRI) accurately is a key point to design the incoherent sampling track in MRI. The existing incoherence evaluation indices still follow those used in CS. They ignore the practical influence of the magnetic resonance devices so the practical performance of these incoherence evaluation indices is much different from that in theory when CS is applied to MRI. The problem is like a "barrier" between CS and MRI and restricts the performance in CS-MRI. The paper proposes to convert the transform point spread function (TPSF) to point spread function (PSF). Therefore, the mathematical relationships between the PSFs and sampling trajectory are formulated. Further, the relationships between the positions of sampling points and the shapes of PSFs are also given. At last, simulation experiments are taken to test PSFs in different sampling modes. Simulation results show that except the width of main lobes and the height of side lobe, the distribution characteristics of side lobes have a major effect on the shapes of the PSF.
[Keywords] Compressed sensing；Magnetic resonance imaging；Incoherent sampling

LIU Qing School of Information and Engineering, Guangdong University of Technology, Guangzhou 510006, China

LING Yong-quan School of Information and Engineering, Guangdong University of Technology, Guangzhou 510006, China

KUANG Wei-chao School of Information and Engineering, Guangdong University of Technology, Guangzhou 510006, China

LI Ya* School of Information and Engineering, Guangdong University of Technology, Guangzhou 510006, China

*Correspondence to: Li Y, E-mail: liya2829@163.com

Conflicts of interest   None.

ACKNOWLEDGMENTS  This work was part of National Natural Science Foundation of China No. 61372173
Received  2016-05-31
Accepted  2016-09-04
DOI: 10.12015/issn.1674-8034.2016.10.012
DOI:10.12015/issn.1674-8034.2016.10.012.

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