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Undersampling patterns in k-space for compressed sensing MRI using two-dimensional Cartesian sampling

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Abstract

In compressed sensing magnetic resonance imaging (CS-MRI), undersampling of k-space is performed to achieve faster imaging. For this process, it is important to acquire data randomly, and an optimal random undersampling pattern is required. However, random undersampling is difficult in two-dimensional (2D) Cartesian sampling. In this study, the effect of random undersampling patterns on image reconstruction was clarified using phantom and in vivo MRI, and a sampling pattern relevant for 2D Cartesian sampling in CS-MRI is suggested. The precision of image restoration was estimated with various acceleration factors and extents for the fully sampled central region of k-space. The root-mean-square error, structural similarity index, and modulation transfer function were measured, and visual assessments were also performed. The undersampling pattern was shown to influence the precision of image restoration, and an optimal undersampling pattern should be used to improve image quality; therefore, we suggest that the ideal undersampling pattern in CS-MRI for 2D Cartesian sampling is one with a high extent for the fully sampled central region of k-space.

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Acknowledgements

We thank Karl Embleton, Ph.D., from Edanz Group (http://www.edanzediting.com/ac) for editing a draft of this manuscript.

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Authors and Affiliations

  1. Department of Radiology, Tokyo Women’s Medical University Medical Center East, 2-1-10 Arakawa-ku, Tokyo, Japan

    Shinya Kojima & Shigeru Suzuki

  2. Tokyo Metropolitan University, 7-2-10 Arakawa-ku, Tokyo, Japan

    Hiroyuki Shinohara

  3. Department of Medical Radiological Technology, Faculty of Health Sciences, Kyorin University, 5-4-1 Shimorenjaku, Mitaka-shi, Tokyo, Japan

    Takeyuki Hashimoto

Authors
  1. Shinya Kojima
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  2. Hiroyuki Shinohara
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  3. Takeyuki Hashimoto
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  4. Shigeru Suzuki
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Corresponding author

Correspondence to Shinya Kojima.

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Ethical approval

All procedures involving human participants were in accordance with the ethical standards of the Institutional Review Board (IRB) and with the 1964 Helsinki declaration and its later amendments or comparable ethical standards. The IRB waived the requirement for patients’ informed consent. This study does not involve any experiments involving animals.

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The requirement for informed consent was waived by the institutional review board because of the retrospective nature of the analysis.

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The authors declare that they have no conflict of interest in this article.

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Kojima, S., Shinohara, H., Hashimoto, T. et al. Undersampling patterns in k-space for compressed sensing MRI using two-dimensional Cartesian sampling. Radiol Phys Technol 11, 303–319 (2018). https://doi.org/10.1007/s12194-018-0469-y

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  • DOI: https://doi.org/10.1007/s12194-018-0469-y

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