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Geometric and numerical methods in the contrast imaging problem in nuclear magnetic resonance. (English) Zbl 1311.49065
Summary: 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, 1mi techniques are used to estimate a global optimum.

49M05 Numerical methods based on necessary conditions
49K15 Optimality conditions for problems involving ordinary differential equations
49N90 Applications of optimal control and differential games
94A08 Image processing (compression, reconstruction, etc.) in information and communication theory
Full Text: DOI
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