“…If one wants to further improve the spatial or temporal resolution, or simply reduce the global imaging time keeping the same acquisition parameters, it would be necessary to increase factor R. To compensate for the intrinsic degradation of the image quality, it is crucial to regularize the reconstruction process which becomes severely ill-posed. To this end, several contributions have been proposed in the recent pMRI literature (Liang et al, 2002;Ying et al, 2004Ying et al, , 2008Lin et al, 2004;Block et al, 2007;Rabrait et al, 2008;Chaâri et al, 2008), most of them operating in the image domain to better estimate full FOV images. For an introductory survey to linear inverse problems with a special emphasis to pMRI reconstruction, the interested reader is referred to Ribes and Schmitt (2008).…”