An alternative approach to the image reconstruction for parallel data acquisition in MRI | Zendy

Bauer Frank | Zendy; Kannengiesser Stephan | Zendy

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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.

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