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CUSTOM: A Calibration Region Recovery Approach for Highly Subsampled Dynamic Parallel Magnetic Resonance Imaging

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Abstract

We propose a recovery approach for highly subsampled dynamic parallel MRI image without auto-calibration signals (ACSs) or prior knowledge of coil sensitivity maps. By exploiting the between-frame redundancy of dynamic parallel MRI data, we first introduce a new low-rank matrix recovery-based model, termed as calibration using spatial–temporal matrix (CUSTOM), for ACSs recovery. The recovered ACSs from data are used for estimating coil sensitivity maps and further dynamic image reconstruction. The proposed non-convex and non-smooth minimization for the CUSTOM step is solved by a proximal alternating linearized minimization method, and we provide its convergence result for this specific minimization problem. Numerical experiments on several highly subsampled test data demonstrate that the proposed overall approach outperforms other state-of-the-art methods for calibrationless dynamic parallel MRI reconstruction.

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Acknowledgments

Xue Zhang, Likun Hou and Xiaoqun Zhang are partially supported by NSFC (Nos. 91330102 and GZ1025) and 973 Program (No. 2015CB856004). Hao Gao is partially supported by the NSFC (No. 11405105), the 973 Program (No. 2015CB856004), and the Shanghai Pujiang Talent Program (No. 14PJ1404500). We would thank the authors of [23, 24, 26, 29] for making their codes, demos and experimental datasets free for academic use.

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Authors and Affiliations

  1. School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai, China

    Xue Zhang

  2. Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai, China

    Likun Hou

  3. Department of Radiation Oncology, Duke University Medical center, Durham, NC, USA

    Hao Gao

  4. School of Mathematical Sciences and Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai, China

    Xiaoqun Zhang

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  1. Xue Zhang
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  2. Likun Hou
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  4. Xiaoqun Zhang
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Correspondence to Xiaoqun Zhang.

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Zhang, X., Hou, L., Gao, H. et al. CUSTOM: A Calibration Region Recovery Approach for Highly Subsampled Dynamic Parallel Magnetic Resonance Imaging. J Math Imaging Vis 57, 366–380 (2017). https://doi.org/10.1007/s10851-016-0682-4

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  • DOI: https://doi.org/10.1007/s10851-016-0682-4

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