Two Numerical Methods of Image Reconstruction in Diffusion Tomography

Semion Gutman; Michael V. Klibanov; Hua Song

doi:10.1364/SRS.1995.RTuA2

Signal Recovery and Synthesis
Technical Digest Series (Optica Publishing Group, 1995),
paper RTuA2
•https://doi.org/10.1364/SRS.1995.RTuA2

Two Numerical Methods of Image Reconstruction in Diffusion Tomography

Semion Gutman, Michael V. Klibanov, and Hua Song

Signal Recovery and Synthesis 1995

Salt Lake City, Utah United States
14–15 March 1995
ISBN:

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Tomography (RTuA)

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S. Gutman, M. V. Klibanov, and H. Song, "Two Numerical Methods of Image Reconstruction in Diffusion Tomography," in Signal Recovery and Synthesis, Technical Digest Series (Optica Publishing Group, 1995), paper RTuA2.

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Abstract

We consider Inverse Scattering Problem (ISP) for the Diffusion Equation (1) The ISP consists in determination of either of coefficients D(x) or a(x) given function u(x,t)|_∂-Ω = φ(x,t), where ∂ Ω is a boundary of a bounded domain Ω ⊂ ℝⁿ.

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