THE METHOD OF FUNDAMENTAL SOLUTIONSFOR DETECTION OF CAVITIES IN EIT

摘要

In this paper, the method of fundamental so-lutions (MFS) is used to solve numerically an inverse problemwhich consists of finding an unknown cavity within a region ofinterest based on given boundary Cauchy data. A range of ex-amples are used to demonstrate that this technique is very ef-fective at locating cavities in both two- and three-dimensionalgeometries for exact input data. The MFS is then developedto include a regularisation parameter that enables cavities tobe located accurately and stably even for noisy input data.