A magnetic resonance device designed via global optimization techniques
In this paper we are concerned with the design of a small low-cost, low-field multipolar magnet for Magnetic Resonance Imaging with a high field uniformity. By introducing appropriate variables, the considered design problem is converted into a global optimization one. This latter problem is solved...
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| Veröffentlicht in: | Mathematical programming 2004-11, Vol.101 (2), p.339 |
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| creator | Liuzzi, Giampaolo Lucidi, Stefano Piccialli, Veronica Sotgiu, Antonello |
| description | In this paper we are concerned with the design of a small low-cost, low-field multipolar magnet for Magnetic Resonance Imaging with a high field uniformity. By introducing appropriate variables, the considered design problem is converted into a global optimization one. This latter problem is solved by means of a new derivative free global optimization method which is a distributed multi-start type algorithm controlled by means of a simulated annealing criterion. In particular, the proposed method employs, as local search engine, a derivative free procedure. Under reasonable assumptions, we prove that this local algorithm is attracted by global minimum points. Additionally, we show that the simulated annealing strategy is able to produce a suitable starting point in a finite number of steps with probability one. [PUBLICATION ABSTRACT] |
| doi_str_mv | 10.1007/s10107-004-0528-5 |
| format | Article |
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| subjects | Algorithms Design optimization Design specifications Linear programming Magnetic fields Magnetic resonance imaging Mathematical models Optimization techniques Studies |
| title | A magnetic resonance device designed via global optimization techniques |
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