Abstract The focal underdetermined system solver (FOCUSS) was originally designed to obtain sparse solutions by successively solving quadratic optimization problems. This article adapts FOCUSS for a projection reconstruction MR imaging problem to obtain high resolution reconstructions from angular under‐sampled radial k ‐space data. We show that FOCUSS is effective for projection reconstruction MRI, since medical images are usually sparse in some sense and the center region of the undersampled radial k ‐space samples still provides a low resolution, yet meaningful, image essential for the convergence of FOCUSS. The new algorithm is successfully applied for synthetic data as well as in vivo brain imaging obtained by under‐sampled radial spin echo sequence. Magn Reson Med 57:764–775, 2007. © 2007 Wiley‐Liss, Inc.
Abstract The sparsity which is implicit in MR images is exploited to significantly undersample k ‐space. Some MR images such as angiograms are already sparse in the pixel repres...
Abstract The reconstruction of artifact‐free images from radially encoded MRI acquisitions poses a difficult task for undersampled data sets, that is for a much lower number of ...
Undersampled projection reconstruction (PR) is investigated as an alternative method for MRA (MR angiography). In conventional 3D Fourier transform (FT) MRA, resolution in the p...
Abstract Recent work in k‐t BLAST and undersampled projection angiography has emphasized the value of using training data sets obtained during the acquisition of a series of ima...
Abstract Acquisition‐weighting improves the localization of MRI experiments. An approach to acquisition‐weighting in a purely phase‐encoded experiment is presented that is based...
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