Geometric and Numerical Methods in the Contrast Imaging Problem in Nuclear Magnetic Resonance
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | Geometric and Numerical Methods in the Contrast Imaging Problem in Nuclear Magnetic Resonance |
| Type de publication | Journal Article |
| Year of Publication | 2015 |
| Auteurs | Bonnard B, Claeys M, Cots O, Martinon P |
| Journal | ACTA APPLICANDAE MATHEMATICAE |
| Volume | 135 |
| Pagination | 5-45 |
| Date Published | FEB |
| Type of Article | Article; Proceedings Paper |
| ISSN | 0167-8019 |
| Mots-clés | Contrast imaging in NMR, Direct method, Geometric optimal control, Moment optimization, Shooting and continuation techniques |
| Résumé | 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. |
| DOI | 10.1007/s10440-014-9947-3 |