Abstract #1453
On variant strategies to solve the Magnitude Least Squares optimization problem in parallel transmission RF pulse design and under strict SAR and power constraints
Nicolas Boulant 1 , Andres Hoyos-Idrobo 1 , Pierre Weiss 2 , Aurelien Massire 1 , and Alexis Amadon 1
1
Neurospin, CEA, Saclay, Ile de France,
France,
2
ITAV,
CNRS, Toulouse, Midi-Pyrnes, France
Despite the importance of the magnitude least squares
problem in parallel transmission pulse design and the
availability of other powerful numerical optimization
methods, this problem has been faced almost exclusively
with the so-called variable exchange method. Here, we
investigate various two stage strategies and incorporate
directly the SAR and power constraints. Different
schemes such as sequential quadratic programming,
interior point methods, semi-definite relaxation and
magnitude squared least squares relaxations are studied
in the small and large flip angle regimes with B1 and
DB0 maps obtained in-vivo on a human brain at 7 Tesla.
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