Anisotropic compressed sensing for non-Cartesian MRI acquisitions

Philippe Ciuciu (1, 2) , Anna Kazeykina (3)

1 IFR49 - Neurospin - CEA
2 PARIETAL - Modelling brain structure, function and variability based on high-field MRI data
3 LMO - Laboratoire de Mathématiques d'Orsay

In the present note we develop some theoretical results in the theory of anisotropic compressed sensing that allow to take structured sparsity and variable density structured sampling into account. We expect that the obtained results will be useful to derive explicit expressions for optimal sampling strategies in the non-Cartesian (radial, spiral, etc.) setting in MRI.

Mots clés: compressed sensing; MRI; anisotropy; non-Cartesian

Domaines: Théorie de l'information et codage [math.IT]

Philippe Ciuciu, Anna Kazeykina. Anisotropic compressed sensing for non-Cartesian MRI acquisitions. [Research Report] CEA Paris Saclay; INRIA; Université Paris Sud, Université Paris Saclay. 2019. ⟨hal-02339689⟩