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An alternative approach to the image reconstruction for parallel data acquisition in MRI |
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| Authors: | Frank Bauer Stephan Kannengiesser |
| Institution: | 1. Institute for Mathematical Stochastics, University of G?ttingen, Maschmühlenweg 8‐10, 37073 G?ttingen, GermanyInstitute for Mathematical Stochastics, University of G?ttingen, Maschmühlenweg 8‐10, 37073 G?ttingen, Germany===;2. Siemens Medical Solutions, MR Applications Development, Karl‐Schall‐Str. 6, Erlangen 91052, Germany |
| Abstract: | Magnetic resonance imaging with parallel data acquisition requires algorithms for reconstructing the patient's image from a small number of measured k‐space lines. In contrast to well‐known algorithms like SENSE and GRAPPA and its flavours we consider the problem as a non‐linear inverse problem. Fast computation algorithms for the necessary Fréchet derivative and reconstruction algorithms are given. Copyright © 2007 John Wiley & Sons, Ltd. |
| Keywords: | magnetic resonance imaging non‐linear inverse problem |