Abstract
In order to estimate the current distributions in the conductors and biological systems, we propose here a new method based on the Cauchy-Schwarz relation. A key idea of this method is to utilize a sampled pattern matching between the measured and assumed magnetic fields. As the practical two dimensional examples, our new method is applied to the shape identification problems of current carrying conductors and to the field source searching of human eye magnetic fields. Further, combination of two independent results leads to the quasi-three dimensional estimation of the current distributions of human hearts. These test examples reveal the validity of our approach and demonstrate its usefulness for medical diagnosis.
