Understanding aliasing effects and their removal in SPEN MRI: A k‐space perspective

Author:

Zhong Sijie12,Chen Minjia3,Wei Xiaokang4,Dai Ke15,Chen Hao12,Frydman Lucio5ORCID,Zhang Zhiyong12ORCID

Affiliation:

1. School of Biomedical Engineering Shanghai Jiao Tong University Shanghai People's Republic of China

2. Institute of Medical Robotics Shanghai Jiao Tong University Shanghai People's Republic of China

3. Department of Engineering University of Cambridge Cambridge United Kingdom

4. Department of Orthopedic Surgery Shanghai Jiao Tong University Affiliated Sixth People's Hospital Shanghai People's Republic of China

5. Department of Chemical and Biological Physics Weizmann Institute of Science Rehovot Israel

Abstract

PurposeTo characterize the mechanism of formation and the removal of aliasing artifacts and edge ghosts in spatiotemporally encoded (SPEN) MRI within a k‐space theoretical framework.MethodsSPEN's quadratic phase modulation can be described in k‐space by a convolution matrix whose coefficients derive from Fourier relations. This k‐space model allows us to pose SPEN's reconstruction as a deconvolution process from which aliasing and edge ghost artifacts can be quantified by estimating the difference between a full sampling and reconstructions resulting from undersampled SPEN data.ResultsAliasing artifacts in SPEN MRI reconstructions can be traced to image contributions corresponding to high‐frequency k‐space signals. The k‐space picture provides the spatial displacements, phase offsets, and linear amplitude modulations associated to these artifacts, as well as routes to removing these from the reconstruction results. These new ways to estimate the artifact priors were applied to reduce SPEN reconstruction artifacts on simulated, phantom, and human brain MRI data.ConclusionA k‐space description of SPEN's reconstruction helps to better understand the signal characteristics of this MRI technique, and to improve the quality of its resulting images.

Funder

Israel Science Foundation

National Natural Science Foundation of China

Publisher

Wiley

Subject

Radiology, Nuclear Medicine and imaging

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