Please use this identifier to cite or link to this item: https://www.um.edu.mt/library/oar/handle/123456789/90596
Title: An analytical solution for the inverse conductivity problem
Authors: Ciulli, S.
Pidcock, Michael K.
Sebu, Cristiana
Keywords: Integral equations -- Numerical solutions
Inverse relationships (Mathematics)
Electric conductivity -- Mathematics
Fredholm equations -- Numerical solutions
Eigenfunctions
Boundary value problems -- Numerical solutions
Issue Date: 2003
Publisher: Editura Academiei Romane, Bucharest
Citation: Ciulli, S., Pidcock, M. K., & Sebu, C. (2003). An analytical solution for the inverse conductivity problem. The First Romanian Conference of Theoretical Physics (CTP 2002). Romanian Journal of Physics, 48(5-6), 567-581.
Abstract: We present an image reconstruction algorithm for the Inverse conductivity Problem based on reformulating the problem in terms of integral equations. By using a priori information we aic able to find a regularized conductivity distribution by first solving a Fredholm integral equation of the second kind and then by solving a first order partial differential equation for the conductivity cr(x). Many of the calculations involved in the method can be achieved analytically using the eigenfunctions of an integral operator defined in the paper.
URI: https://www.um.edu.mt/library/oar/handle/123456789/90596
ISSN: 1221-146X
Appears in Collections:Scholarly Works - FacSciMat

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