Diffusive tomography methods : special boundary conditions and characterization of inclusions
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Doctoral thesis (article-based)
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Authors
Date
2004-05-14
Department
Department of Engineering Physics and Mathematics
Teknillisen fysiikan ja matematiikan osasto
Teknillisen fysiikan ja matematiikan osasto
Major/Subject
Mcode
Degree programme
Language
en
Pages
25, [65]
Series
Research reports / Helsinki University of Technology, Institute of Mathematics. A, 471
Abstract
This thesis presents mathematical analysis of optical and electrical impedance tomography. We introduce papers [I-III], which study these diffusive tomography methods in the situation where the examined object is contaminated with inclusions that have physical properties differing from the background.Description
Keywords
inverse boundary value problems, variational principles, optical tomography, non-scattering regions, radiative transfer equation, diffusion approximation, electrical impedance tomography, inverse conductivity problem, electrode models, inclusions, factorization method
Other note
Parts
- Hyvönen N., 2002. Analysis of optical tomography with non-scattering regions. Proceedings of the Edinburgh Mathematical Society 45, number 2, pages 257-276.
- Hyvönen N., 2004. Complete electrode model of electrical impedance tomography: approximation properties and characterization of inclusions. SIAM Journal on Applied Mathematics 64, number 3, pages 902-931. [article2.pdf] © 2004 Society for Industrial and Applied Mathematics (SIAM). By permission.
- Hyvönen N., 2004. Characterizing inclusions in optical tomography. Inverse Problems 20, number 3, pages 737-751. [article3.pdf] © 2004 Institute of Physics Publishing Ltd. By permission.