Diffusive tomography methods : special boundary conditions and characterization of inclusions

Hyvönen, Nuutti

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Diffusive tomography methods : special boundary conditions and characterization of inclusions



Title:	Diffusive tomography methods : special boundary conditions and characterization of inclusions
Author(s):	Hyvönen, Nuutti
Date:	2004-05-14
Language:	en
Pages:	25, [65]
Department:	Department of Engineering Physics and Mathematics Teknillisen fysiikan ja matematiikan osasto
ISBN:	951-22-7086-2
Series:	Research reports / Helsinki University of Technology, Institute of Mathematics. A, 471
ISSN:	0784-3143
Subject:	Mathematics, Medical sciences
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
	OEVS yes
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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.
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.
Permanent link to this item: http://urn.fi/urn:nbn:fi:tkk-003539 Email this Export to RefWorks QR Code Print BibTex Tweet

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