2015
DOI: 10.1016/j.rimni.2013.10.002
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Avaliação de 3 diferentes aproximações para a solução do problema direto da tomografia de impedância elétrica

Abstract: Abstract. We show the well-posedness of the conductivity image reconstruction problem with a single set of interior electrical current data and boundary conductivity data. Isotropic conductivity is considered in two space dimensions. Uniqueness for similar conductivity reconstruction problems has been known for several cases. However, the existence and the stability are obtained in this paper for the first time. The main tool of the proof is the method of characteristics of a related curl equation.

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Cited by 2 publications
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“…Martins et al investigated the inverse problem in the reconstruction algorithm. ey analyzed the inverse problem by solving the positive problem and the potential measurements on the surface of the object under study [23]. In this paper, the inverse problem of ERT is modelled and analyzed for research and image reconstruction.…”
Section: Introductionmentioning
confidence: 99%
“…Martins et al investigated the inverse problem in the reconstruction algorithm. ey analyzed the inverse problem by solving the positive problem and the potential measurements on the surface of the object under study [23]. In this paper, the inverse problem of ERT is modelled and analyzed for research and image reconstruction.…”
Section: Introductionmentioning
confidence: 99%