Extrapolation Of Two Vector Components Of A Biomagnetic Field From Measurements Of The Third Component

H. A. Schlitt; K. Rehm; W. J. Dallas; W. H. Kullmann

doi:10.1117/12.953185

1 May 1989 Extrapolation Of Two Vector Components Of A Biomagnetic Field From Measurements Of The Third Component

H. A. Schlitt, K. Rehm, W. J. Dallas, W. H. Kullmann

Author Affiliations +

Proceedings Volume 1090, Medical Imaging III: Image Formation; (1989) https://doi.org/10.1117/12.953185
Event: Medical Imaging III, 1989, Newport Beach, CA, United States

Abstract

Techniques exist for reconstructing current density vectors from measurements of the three components of the generated magnetic field. In order to have a practical data collection scheme, the number of measurements must be as small as possible. In addition, some technical difficulties exist in using SQUID detectors to measure all three components of a magnetic field simultaneously. This paper presents a method for extrapolating the missing x- and y-components of a biomagnetic vector field from the measured z-component, under certain readily met boundary conditions. Specifically, we address the solution of such a problem when the measured data consists of the z-component in a single plane. The boundary conditions that must be met in order to perform the extrapolation require that the z-component values fall off to zero on the edges of the measurement plane, and that the extrapolation be performed in a region free of current sources.

Citation Download Citation

H. A. Schlitt, K. Rehm, W. J. Dallas, and W. H. Kullmann "Extrapolation Of Two Vector Components Of A Biomagnetic Field From Measurements Of The Third Component", Proc. SPIE 1090, Medical Imaging III: Image Formation, (1 May 1989); https://doi.org/10.1117/12.953185

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