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Noise power spectrum in compressed sensing magnetic resonance imaging

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Abstract

Compressed sensing magnetic resonance imaging (CS-MRI) uses random undersampling and nonlinear iterative reconstruction. This study was conducted to clarify the noise power spectrum (NPS) characteristics of CS-MRI. We measured two-dimensional (2D) NPS of CS-MRI with various acceleration factors (AF) and denoising factors (DF) and compared their appearance to those of conventional parallel MR images. Results showed that the 2D NPS of CS-MRI exhibited the following characteristics: (1) local decrease in the low-frequency region, (2) gradual decrease in the high-frequency region, and (3) a stripe pattern aligned at unequal intervals in the phase-encoding direction. Specifically, the 2D NPS of CS-MRI reflects the random undersampling pattern of k-space data. Additionally, 2D NPS allowed visualization of AF-dependent noise characteristics of CS-MRI. Furthermore, 1D NPS graph shapes clarified the CS-MRI noise characteristic dependence on AF and DF.

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Acknowledgements

The authors would like to thank Ms. Nodoka Ichikawa for her assistance with this study. This work was partially supported by JSPS KAKENHI (Grant 15K08688 and 18K07703).

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Authors and Affiliations

  1. Department of Radiological Technology, Toranomon Hospital, 2-2-2 Toranomon, Minato-ku, Tokyo, 105-8470, Japan

    Junji Takahashi & Kei Fukuzawa

  2. Medical Imaging and Applied Radiology, Tohoku University Graduate School of Medicine, 2-1 Seiryo-machi, Aoba-ku, Sendai, Miyagi, 980-8575, Japan

    Junji Takahashi, Yoshio Machida, Minami Aoba, Yuki Nawa & Ryo Kamoshida

  3. Health Management Center, Toranomon Hospital, 2-2-2 Toranomon, Minato-ku, Tokyo, 105-8470, Japan

    Yuki Ohmoto-Sekine

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  1. Junji Takahashi
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  2. Yoshio Machida
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  3. Minami Aoba
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  4. Yuki Nawa
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  5. Ryo Kamoshida
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  7. Yuki Ohmoto-Sekine
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Correspondence to Junji Takahashi.

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Takahashi, J., Machida, Y., Aoba, M. et al. Noise power spectrum in compressed sensing magnetic resonance imaging. Radiol Phys Technol 14, 93–99 (2021). https://doi.org/10.1007/s12194-021-00608-4

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  • DOI: https://doi.org/10.1007/s12194-021-00608-4

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