title: Linear estimation theory applied to the reconstruction of a 3-D vector current distribution.
abstract: Linear estimation theory incorporating statistical a priori knowledge is applied to the inverse problem of reconstructing a static 3-D vector source field from another 3-D vector measurement field. The motivation for this development is to reconstruct 3-D electric current distributions from a set of magnetic measurements. Such a capability would be useful for the clinical determination of neural currents, for example. A simulation is presented to demonstrate the reconstruction of a class of simple nonbiological source objects, and to show the dependence of these reconstructions on the data taking configuration and the statistical a priori knowledge that is incorporated into the reconstruction process.
authors.forename: W E
authors.initials: WE
authors.lastname: Smith
authors.forename: W J
authors.initials: WJ
authors.lastname: Dallas
authors.forename: W H
authors.initials: WH
authors.lastname: Kullmann
authors.forename: H A
authors.initials: HA
authors.lastname: Schlitt