Variational constraints for electrical-impedance tomography

Journal Article · Mon Jul 16 04:00:00 EDT 1990 · Physical Review Letters; (USA)

DOI:https://doi.org/10.1103/PhysRevLett.65.325· OSTI ID:6682546

Berryman, J G ^[1]; Kohn, R V ^[2]

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1. Lawrence Livermore National Laboratory, P.O. Box 808, L-156, Livermore, CA (USA)
2. Courant Institute of Mathematical Sciences, 251 Mercer Street, New York University, New York, NY (USA)

The task of electrical-impedance tomography is to invert boundary measurements for the conductivity distribution of a body. This inverse problem can be formulated so the primary data are the measured powers dissipated across injection electrodes. Then, since these powers are minima of the pertinent (dual) variational principles, feasibility constraints can be found for the nonlinear inversion problem. When power may be measured accurately, the existence of these dual variational principles implies that any exact solution must lie at a point of intersection of the two feasibility boundaries.

• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 6682546
• Journal Information: Physical Review Letters; (USA), Journal Name: Physical Review Letters; (USA) Vol. 65:3; ISSN PRLTA; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIAGNOSTIC TECHNIQUES
DISTRIBUTION
ELECTRIC CONDUCTIVITY
ELECTRIC IMPEDANCE
ELECTRICAL PROPERTIES
IMPEDANCE
NONLINEAR PROBLEMS
PHYSICAL PROPERTIES
SOLIDS
TOMOGRAPHY
VARIATIONAL METHODS