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Content Provider | IEEE Xplore Digital Library |
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Author | Terazono, Y. Matani, A. |
Copyright Year | 2001 |
Description | Author affiliation: Graduate Sch. of Frontier Sci., Univ. of Tokyo, Japan (Terazono, Y.; Matani, A.) |
Abstract | In this paper, we propose a method of solving the biomagnetic inverse problem consisting of two approaches, the first of which is pointwise normalization. In the conventional normalization technique, each variable is normalized individually. This variablewise normalization is appropriate for scalar fields, but not for vector fields where one vector on a grid point is represented by several variables. Hence, pointwise operation is needed for vector fields. The second is a combination of norms. Use of the /spl lscr//sub 2/-norm as the cost function of an optimization problem is known to lead to spatially spread solutions, while the /spl lscr//sub 2/-norm leads to sparse solutions. To control sparseness of solutions, we propose to use an internal division of the /spl lscr//sub 2/-norm and pointwise normalized /spl lscr//sub 2/-norm. The optimization problem constructed as above can be recast as a second-order cone program (SOCP), a nonlinear convex problem. The problem can be solved using recently developed efficient interior-point methods. Computer simulations showed that the sparseness of estimators obtained with the proposed method reflects both the ratio of internal division and the sparseness of true sources. Regularization of normalization and relaxation of constraint conditions in the presence of noise are also presented. |
Starting Page | 930 |
Ending Page | 933 |
File Size | 255859 |
Page Count | 4 |
File Format | |
ISBN | 0780372115 |
ISSN | 1094687X |
DOI | 10.1109/IEMBS.2001.1019100 |
Language | English |
Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Publisher Date | 2001-10-25 |
Publisher Place | Turkey |
Access Restriction | Subscribed |
Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Subject Keyword | Biomagnetics Cost function Inverse problems Current distribution Vectors Equations Computer simulation Magnetic sensors Magnetoencephalography Magnetic fields |
Content Type | Text |
Resource Type | Article |
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