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. The authors describe a way of obtaining depth information from measurements taken in a single plane and show how instrumental noise affects the quality of the reconstructions. An iterative scheme is introduced, capable of pinpointing a number of localised sources with a minimum of prior assumptions. However, the method is most naturally adapted to distributed sources. A number of inversions of distributed sources demonstrate that the method is powerful, accurate and convenient.
[1]
S. Gull,et al.
Image reconstruction from incomplete and noisy data
,
1978,
Nature.
[2]
Andreas A. Ioannides,et al.
A method for reconstructing line current sources from magnetic field data
,
1986
.
[3]
J. Sarvas.
Basic mathematical and electromagnetic concepts of the biomagnetic inverse problem.
,
1987,
Physics in medicine and biology.
[4]
Pierre Célestin Sabatier,et al.
Inverse problems : an interdisciplinary study
,
1987
.
[5]
C. Clarke,et al.
The solution of the biomagnetic inverse problem by maximum statistical entropy
,
1989
.
[6]
C. Clarke.
Probabilistic methods in a biomagnetic inverse problem
,
1989
.