Joint Image Reconstruction and Phase Corruption Maps Estimation in Multi-shot Echo Planar Imaging

  • Iñaki RabanilloEmail author
  • Santiago Sanz-Estébanez
  • Santiago Aja-Fernández
  • Joseph Hajnal
  • Carlos Alberola-López
  • Lucilio Cordero-Grande
Conference paper
Part of the Mathematics and Visualization book series (MATHVISUAL)


Multishot echo-planar imaging is a common strategy in diffusion Magnetic Resonance Imaging to reduce the artifacts caused by the long echo-trains in single-shot acquisitions. However, it suffers from shot-to-shot phase discrepancies associated to subject motion, which can notably degrade the quality of the reconstructed image. Consequently, some type of motion-induced phases error correction needs to be incorporated into the reconstruction process. In this paper we focus on ridig motion induced errors, which have proved to corrupt the shots with linear phase maps. By incorporating this prior knowledge, we propose a maximum likelihood formulation that estimates both the parameters that characterize the linear phase maps and the reconstructed image. In order to make the problem tractable, we follow a greedy iterative procedure that alternates between the estimation of each of them. Simulation data are used to illustrate the performance of the method against state-of-the-art alternatives.


Multi-shot EPI Parallel imaging Motion-induced phase error Magnetic resonance image reconstruction 



This work is supported by MICIN under grants TEC2013-44194-P and TEC-2014-57428, as well as Junta de Castilla y León under grant VA069U16. The first author acknowledges MINECO for FPI grants BES-2014-069524 and EEBB-I-18-12971.


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Iñaki Rabanillo
    • 1
    Email author
  • Santiago Sanz-Estébanez
    • 1
  • Santiago Aja-Fernández
    • 1
  • Joseph Hajnal
    • 2
  • Carlos Alberola-López
    • 1
  • Lucilio Cordero-Grande
    • 2
  1. 1.Laboratorio de Procesado de ImagenUniversidad de ValladolidValladolidSpain
  2. 2.Centre for the Developing Brain and Department of Biomedical Engineering, Division of Imaging Sciences and Biomedical EngineeringKing’s College London, St. Thomas’ HospitalLondonUK

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