Ioannides, A. A.; Bolton, J. P. R.; Clarke, C. J. S. Continuous probabilistic solutions to the biomagnetic inverse problem. (English) Zbl 0707.76133 Inverse Probl. 6, No. 4, 523-542 (1990). Summary: A general method for obtaining continuous solutions to the biomagnetic inverse problem is outlined and illustrated with a wide range of test cases, in a variety of experimental geometries. Magnetic sources are discussed briefly, but the main emphasis is on ionic flows, both in free space and in a homogeneous conducting sphere. We describe a way of obtaining depth information from measurements taken in a single plane and show how instrumental noise affects the quality of our reconstructions. An iterative scheme is introduced, capable of pinpointing a number of localized sources with a minimum of prior assumptions. However, our method is most naturally adapted to distributed sources. A number of inversions of distributed sources demonstrate that the method is powerful, accurate and convenient. Cited in 1 Document MSC: 76Z05 Physiological flows 92C35 Physiological flow Keywords:continuous solutions; biomagnetic inverse problem; ionic flows; homogeneous conducting sphere PDFBibTeX XMLCite \textit{A. A. Ioannides} et al., Inverse Probl. 6, No. 4, 523--542 (1990; Zbl 0707.76133) Full Text: DOI