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Time Undersampled Acquisition for Multidimensional Sparse Signals With Application to Magnetic Resonance Spectroscopic Imaging

Jabrane Karkouri 1, 2 Helene Ratiney 1 Magalie Viallon 1 Remy Prost 3 Fabien Millioz 3
1 RMN et optique : De la mesure au biomarqueur
CREATIS - Centre de Recherche en Acquisition et Traitement de l'Image pour la Santé
3 MYRIAD - Modeling & analysis for medical imaging and Diagnosis
CREATIS - Centre de Recherche en Acquisition et Traitement de l'Image pour la Santé
Abstract : This paper deals with acceleration of multidimensional signal acquisition. The signal is assumed to have multiple discrete spatial dimensions where each point is time varying. The one-dimensional Fourier transform of the time evolution of each point is assumed to have an a priori known bounded support. The Fourier transform of the spatial domain is divided into several partitions, each of which can be sequentially acquired over time. We propose a method for undersampling the time dimension that enables interleaving of the samples hence speeding up signal acquisition. This method, applied to realistic simulated magnetic resonance spectroscopic imaging data (MRSI), leads to a reduction in the acquisition time by a factor of three.
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https://hal.archives-ouvertes.fr/hal-03370854
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Submitted on : Monday, October 18, 2021 - 9:48:14 AM
Last modification on : Monday, October 18, 2021 - 10:01:17 AM

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Jabrane Karkouri, Helene Ratiney, Magalie Viallon, Remy Prost, Fabien Millioz. Time Undersampled Acquisition for Multidimensional Sparse Signals With Application to Magnetic Resonance Spectroscopic Imaging. IEEE Transactions on Signal Processing, Institute of Electrical and Electronics Engineers, 2021, 69, pp.5289-5298. ⟨10.1109/TSP.2021.3112931⟩. ⟨hal-03370854⟩

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