Journal of Scientific Computing

, Volume 69, Issue 3, pp 1014–1032 | Cite as

A Two-Stage Low Rank Approach for Calibrationless Dynamic Parallel Magnetic Resonance Image Reconstruction

  • Likun Hou
  • Hao Gao
  • Xiaoqun Zhang


Parallel magnetic resonance imaging (MRI) is an imaging technique by acquiring a reduced amount of data in Fourier domain with multiple receiver coils. To recover the underlying imaging object, one often needs the explicit knowledge of coil sensitivity maps, or some additional fully acquired data blocks called the auto-calibration signals (ACS). In this paper, we show that by exploiting the between-frame redundancy of dynamic parallel MRI data, it is possible to achieve simultaneous coil sensitivity map estimation and image sequence reconstruction. Specially, we introduce a novel two-stage approach for dynamic parallel MRI reconstruction without pre-calibrating the coil sensitivity maps nor additionally acquiring any fully sampled ACS. Numerical experiments demonstrate that, the performance of the proposed approach is better than other state-of-the-art approaches for calibrationless dynamic parallel MRI reconstruction.


Dynamic magnetic resonance imaging Sensitivity maps estimation Low rank plus sparsity Forward–backward splitting method 



We would thank the authors of [17] and [16, 20, 22] for making their codes, demos and experimental datasets free for academic use.


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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Institute of Natural SciencesShanghai Jiao Tong UniversityShanghaiChina
  2. 2.School of Biomedical Engineering and Department of MathematicsShanghai Jiao Tong UniversityShanghaiChina
  3. 3.Institute of Natural Sciences and School of Mathematical Sciences and MOE-LSCShanghai Jiao Tong UniversityShanghaiChina

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