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A complex-valued majorize-minimize memory gradient method with application to parallel MRI

Anisia Florescu 1 Emilie Chouzenoux 2 Jean-Christophe Pesquet 2 Philippe Ciuciu 3 Silviu Ciochina 1
1 UPB - University Politehnica of Bucharest [Romania]
2 LIGM - Laboratoire d'Informatique Gaspard-Monge
3 PARIETAL - Modelling brain structure, function and variability based on high-field MRI data
Inria Saclay - Ile de France, NEUROSPIN - Service NEUROSPIN
Abstract : Complex-valued data are encountered in many application areas of signal and image processing. In the context of optimization of functions of real variables, subspace algorithms have recently attracted much interest, due to their efficiency in solving large-size problems while simultaneously offering theoretical convergence guarantees. The goal of this paper is to show how some of these methods can be successfully extended to the complex case. More precisely, we investigate the properties of the proposed complex-valued Majorize- Minimize Memory Gradient (3MG) algorithm. An important practical application of these results arises for image reconstruction in Parallel Magnetic Resonance Imaging (PMRI). Comparisons with existing optimization methods confirm the good performance of our approach for PMRI reconstruction.
Keywords : complex-valued signals optimization subspace algorithms descent methods majorization-minimization image reconstruction inverse problems magnetic resonance imaging sampling
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Conference papers
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https://hal.archives-ouvertes.fr/hal-00866800
Contributor : Emilie Chouzenoux <>
Submitted on : Friday, September 27, 2013 - 10:38:41 AM
Last modification on : Wednesday, February 3, 2021 - 7:54:26 AM

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  • HAL Id : hal-00866800, version 1

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PARISTECH | LIGM_SIGNAL | UNIV-MLV | UPEC-UPEM | ENPC | LIGM | CNRS | INRIA | LABEX-BEZOUT | CEA | CEA-DRF | JOLIOT | NEUROSPIN | ESIEE-PARIS

Citation

Anisia Florescu, Emilie Chouzenoux, Jean-Christophe Pesquet, Philippe Ciuciu, Silviu Ciochina. A complex-valued majorize-minimize memory gradient method with application to parallel MRI. 21st European Signal Processing Conference (EUSIPCO 2013), Sep 2013, Marrakech, Morocco. pp.14283743.1-14283743.5. ⟨hal-00866800⟩

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