Magnetic source images determined by a lead-field analysis: the unique minimum-norm least-squares estimation
- 1 July 1992
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Biomedical Engineering
- Vol. 39 (7), 665-675
- https://doi.org/10.1109/10.142641
Abstract
The minimum norm least-squares approach based on lead field theory provides a unique inverse solution for a magnetic source image that is the best estimate in the least-squares sense. This has been applied to determine the source current distribution when the primary current is confined to a surface or set of surfaces. In model simulations of cortical activity of the human brain, the magnetic field pattern across the scalp is interpreted with prior knowledge of anatomy to yield a unique magnetic source image across a portion of cerebral cortex, without resort to an explicit source model.Keywords
This publication has 28 references indexed in Scilit:
- Continuous probabilistic solutions to the biomagnetic inverse problemInverse Problems, 1990
- The magnetic field of cortical current sources: the application of a spatial filtering model to the forward and inverse problemsElectroencephalography and Clinical Neurophysiology, 1990
- Linear estimation theory applied to the reconstruction of a 3-D vector current distributionApplied Optics, 1990
- Magnetic determination of the spatial extent of a single cortical current source: a theoretical analysisElectroencephalography and Clinical Neurophysiology, 1988
- Basic mathematical and electromagnetic concepts of the biomagnetic inverse problemPhysics in Medicine & Biology, 1987
- Biomagnetic instrumentationReview of Scientific Instruments, 1982
- Understanding Inverse TheoryAnnual Review of Earth and Planetary Sciences, 1977
- Extracorporeal magnetic fields generated by internal bioelectric sourcesIEEE Transactions on Magnetics, 1973
- A generalized inverse for matricesMathematical Proceedings of the Cambridge Philosophical Society, 1955
- Ueber einige Gesetze der Vertheilung elektrischer Ströme in körperlichen Leitern mit Anwendung auf die thierisch‐elektrischen VersucheAnnalen der Physik, 1853