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Resistive homogeneous MRI magnet design by matrix subset selection
Author(s) -
Morgan Patrick N.,
Conolly Steven M.,
Macovski Albert
Publication year - 1999
Publication title -
magnetic resonance in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.696
H-Index - 225
eISSN - 1522-2594
pISSN - 0740-3194
DOI - 10.1002/(sici)1522-2594(199906)41:6<1221::aid-mrm19>3.0.co;2-e
Subject(s) - resistive touchscreen , homogeneous , selection (genetic algorithm) , magnet , nuclear magnetic resonance , matrix (chemical analysis) , computer science , physics , artificial intelligence , materials science , computer vision , statistical physics , quantum mechanics , composite material
A new technique for designing resistive homogeneous multi‐coil magnets for magnetic resonance imaging (MRI) is presented. A linearly independent subset of coils is chosen from a user‐defined feasible set using an efficient numerical algorithm. The coil currents are calculated using a linear least squares algorithm to minimize the deviation of the actual magnetic field from the target field. The solutions are converted to practical coils by rounding the currents to integer ratios, selecting the wire gauge, and optimizing the coil cross‐sections. To illustrate the technique, a new design of a short, homogeneous MRI magnet suitable for low‐field human torso imaging is presented. Magnets that satisfy other constraints on access and field uniformity can also be designed. Compared with conventional techniques that employ harmonic expansions, this technique is flexible, simple to implement, and numerically efficient. Magn Reson Med 41:1221–1229, 1999. © 1999 Wiley‐Liss, Inc.