Regularization techniques in realistic Laplacian computation

被引:10
|
作者
Bortel, Radoslav [1 ]
Sovka, Pavel [1 ]
机构
[1] Czech Tech Univ Prague, Fac Elect Engn, Dept Circuit Theory, Prague 16627, Czech Republic
关键词
regularization; surface Laplacian;
D O I
10.1109/TBME.2007.893496
中图分类号
R318 [生物医学工程];
学科分类号
0831 ;
摘要
This paper explores regularization options for the ill-posed spline coefficient equations in the realistic Laplacian computation. We investigate the use of the Tikhonov regularization, truncated singular value decomposition, and the so-called A-correction with the regularization parameter chosen by the L-curve, generalized cross-validation, quasi-optimality, and the discrepancy principle criteria. The provided range of regularization techniques is much wider than in the previous works. The improvement of the realistic Laplacian is investigated by simulations on the three-shell spherical head model. The conclusion is that the best performance is provided by the combination of the Tikhonov regularization and the generalized cross-validation criterion-a combination that has never been suggested for this task before.
引用
收藏
页码:1993 / 1999
页数:7
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