Geometric and Numerical Methods in the Contrast Imaging Problem in Nuclear Magnetic Resonance | Zendy

Bernard Bonnard | Zendy; Mathieu Claeys | Zendy; Olivier Cots | Zendy; Pierre Marti | Zendy

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Geometric and Numerical Methods in the Contrast Imaging Problem in Nuclear Magnetic Resonance

Author(s) -

Bernard Bonnard,

Mathieu Claeys,

Olivier Cots,

Pierre Marti

Publication year - 2014

Publication title -

acta applicandae mathematicae

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.745

H-Index - 45

eISSN - 1572-9036

pISSN - 0167-8019

DOI - 10.1007/s10440-014-9947-3

Subject(s) - contrast (vision) , toolbox , magnetic resonance imaging , optimal control , software , mathematics , computer science , mathematical optimization , algorithm , artificial intelligence , medicine , radiology , programming language

In this article, the contrast imaging problem in nuclear magnetic resonance is modeled as a Mayer problem in optimal control. The optimal solution can be found as an extremal, solution of the Maximum Principle and analyzed with the techniques of geometric control. This leads to a numerical investigation based on so-called indirect methods using the HamPath software. The results are then compared with a direct method implemented within the Bocop toolbox. Finally lmi techniques are used to estimate a global optimum

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