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An alternative approach to the image reconstruction for parallel data acquisition in MRI
Author(s) -
Bauer Frank,
Kannengiesser Stephan
Publication year - 2007
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.848
Subject(s) - inverse problem , computation , iterative reconstruction , mathematics , contrast (vision) , image (mathematics) , fréchet derivative , algorithm , inverse , space (punctuation) , computer vision , artificial intelligence , computer science , mathematical analysis , geometry , banach space , operating system
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.