EFFICIENT 2D AND 3D ELECTRICAL-IMPEDANCE TOMOGRAPHY USING DUAL RECIPROCITY BOUNDARY-ELEMENT TECHNIQUES

Numerical algorithms based on boundary element methods are developed f or application to problems in Electrical Impedance Tomography (EIT). T wo types of EIT problems are distinguished. In the first type internal boundaries of domains of constant conductivity are imaged. For such p roblems an algorithm based on identifying the shape of the included re gion is developed, and uses conventional BEM techniques. For problems where a distribution of conductivity is to be imaged algorithms that u se dual reciprocity techniques are developed. The size of the inverse problem required to be solved is much reduced, offering substantial sp eed-ups over conventional techniques. Further, the present algorithms use simple parametrization of Che unknowns to achieve efficiency. Nume rical results from tests of this algorithm on synthetic data are prese nted, and these show that the method is quite promising. (C) 1998 Publ ished by Elsevier Science Ltd. All rights reserved.