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

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Part of the book series: Mathematics and Visualization ((MATHVISUAL))

Abstract

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.

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Acknowledgements

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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Correspondence to Iñaki Rabanillo .

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Rabanillo, I., Sanz-Estébanez, S., Aja-Fernández, S., Hajnal, J., Alberola-López, C., Cordero-Grande, L. (2019). Joint Image Reconstruction and Phase Corruption Maps Estimation in Multi-shot Echo Planar Imaging. In: Bonet-Carne, E., Grussu, F., Ning, L., Sepehrband, F., Tax, C. (eds) Computational Diffusion MRI. MICCAI 2019. Mathematics and Visualization. Springer, Cham. https://doi.org/10.1007/978-3-030-05831-9_2

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