Comput Math Methods Med - Recent progress on the factorization method for electrical impedance tomography.

Tópicos

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Resumo

The Factorization Method is a noniterative method to detect the shape and position of conductivity anomalies inside an object. The method was introduced by Kirsch for inverse scattering problems and extended to electrical impedance tomography (EIT) by Br?hl and Hanke. Since these pioneering works, substantial progress has been made on the theoretical foundations of the method. The necessary assumptions have been weakened, and the proofs have been considerably simplified. In this work, we aim to summarize this progress and present a state-of-the-art formulation of the Factorization Method for EIT with continuous data. In particular, we formulate the method for general piecewise analytic conductivities and give short and self-contained proofs.

Resumo Limpo

factor method nonit method detect shape posit conduct anomali insid object method introduc kirsch invers scatter problem extend electr imped tomographi eit brhl hank sinc pioneer work substanti progress made theoret foundat method necessari assumpt weaken proof consider simplifi work aim summar progress present stateoftheart formul factor method eit continu data particular formul method general piecewis analyt conduct give short selfcontain proof

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