DocumentCode :
1398305
Title :
A Novel Target-Field Method Using LASSO Algorithm for Shim and Gradient Coil Design
Author :
Geli Hu ; Zhipeng Ni ; Qiuliang Wang
Author_Institution :
Key Lab. of Appl. Supercond., Inst. of Electr. Eng., Beijing, China
Volume :
22
Issue :
3
fYear :
2012
fDate :
6/1/2012 12:00:00 AM
Firstpage :
4900604
Lastpage :
4900604
Abstract :
Target field (TF) method is very important for design of shim and gradient coils which have been used in magnetic resonance imaging (MRI) and other applications. Many works based on TF have been proposed. To restrict the current distribution on cylindrical coils with a given finite length, the current density is expanded by trigonometric series and the unknown coefficients are estimated based on the standard Least Square (LS) with L2 norm regularization (LS-L2). In this paper, we propose to estimate the coefficients using LS with L1 norm regularization (LS-L1), also named Least Absolute Shrinkage and Selection Operator (LASSO), which is solved via Fast Iterative Shrinkage-Thresholding Algorithm (FISTA). The proposed method can obtain sparse solutions and better approximations, which can be used to design cylindrical shim and gradient coils for MRI. Simulation results show that the proposed LS-L1 method performs better than the LS-L2 TF method.
Keywords :
biomedical MRI; image segmentation; iterative methods; least squares approximations; L1 norm regularization; L2 norm regularization; cylindrical coil; fast iterative shrinkage-thresholding algorithm; gradient coil design; least absolute shrinkage and selection operator; magnetic resonance imaging; shim coil design; standard least square; target field method; target-field method; Algorithm design and analysis; Coils; Current density; Magnetic fields; Magnetic resonance imaging; Physics; Windings; FISTA; LASSO; shim; target-field method;
fLanguage :
English
Journal_Title :
Applied Superconductivity, IEEE Transactions on
Publisher :
ieee
ISSN :
1051-8223
Type :
jour
DOI :
10.1109/TASC.2011.2179396
Filename :
6104110
Link To Document :
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