Abstract
In order to reduce the spatial blurring effect due to the head volume conductor, cortical imaging technique (CIT) can be used to reconstruct the cortical potential distribution from the scalp potential measurement with enhanced spatial resolution. To overcome the ill-posed nature of the inverse problem, Tikhonov regularization (TIK) and truncated Singular Value Decomposition (TSVD) are commonly used by choosing the appropriate regularization parameter and truncation parameter, respectively. We have developed a minimal product method (MINP) to determine the regularization and truncation parameters. The present computer simulation and experimental results indicate that the MINP can be easily implemented in both TIK and TSVD with satisfactory performance, and suggest the potential applications of the MINP method in determining the corner of the L-curve.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 209-217 |
| Number of pages | 9 |
| Journal | Brain Topography |
| Volume | 13 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2001 |
Bibliographical note
Funding Information:* Department of Bioengineering, University of Illinois at Chicago, USA. +Department of EECS, University of Illinois at Chicago, USA. Accepted for publication: December 20, 2000. We are grateful to Drs. D. Wu and D. Yao for useful discussions. This work was supported in part by NSF CAREER Award BES-9875344. Correspondence and reprint requests should be addressed to Dr. Bin He, University of Illinois at Chicago, MC-154, SEO 1120, 851 S. Morgan Street, Chicago, IL, 60607, USA. Fax: (312) 413-0024 E-mail: [email protected] Copyright © 2001 Human Sciences Press, Inc.
Keywords
- Cortical imaging
- Inverse problem
- L-curve
- Minimal product method
- Tikhonov regularization
- Truncated SVD