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The method of fundamental solutions for detection of cavities in EIT. (English) Zbl 1189.78059
Summary: The method of fundamental solutions (MFS) is used to solve numerically an inverse problem which consists of finding an unknown cavity within a region of interest based on given boundary Cauchy data. A range of examples are used to demonstrate that this technique is very effective at locating cavities in both two- and three-dimensional geometries for exact input data. The MFS is then developed to include a regularisation parameter that enables cavities to be located accurately and stably even for noisy input data.

MSC:
78M50 Optimization problems in optics and electromagnetic theory
92C55 Biomedical imaging and signal processing
65R32 Numerical methods for inverse problems for integral equations
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