Summary: Proceedings of the 5th International Conference on Inverse Problems in Engineering: Theory and Prac
tice, Cambridge, UK, 1115th July 2005
BOUNDARY ELEMENT METHOD AND MARKOV CHAIN MONTE CARLO FOR
OBJECT LOCATION IN ELECTRICAL IMPEDANCE TOMOGRPHY
R. G. AYKROYD 1 , B. A. CATTLE 2 and R. M. WEST 3
1 Department of Statistics, University of Leeds, Leeds, LS2 9JT, UK.
2 Department of Applied Mathematics, University of Leeds, Leeds, LS2 9JT, UK.
3 Biostatistics Unit, University of Leeds, 30 Hyde Terrace, Leeds, LS2 9PL, UK.
Abstract -- A Bayesian approach to object location in electrical tomography is presented. The direct
problem, which is traditionally modelled by domain discretization methods such as finiteelement and
finitedi#erence methods, is reformulated using a straightforward but ultimately powerful implementation
of the boundaryelement method.
All tomography techniques aim to reconstruct the interior of an object using measurements taken out
side or on the boundary of the object. Such techniques are widely used in geophysical, industrial and
medical investigations. In electrical tomography, voltages are recorded between electrodes attached to
the boundary and the objective is to reconstruct the interior electrical conductivity distribution. Most