**Poorly Visible Media in X-ray Tomography**

By Edited by D.S. Anikonov, et al.

December 2002

VSP

ISBN: 90-6764-374-2

302 pages, Illustrated

$240.00 hardcover

The tomography problem considered in this volume of the Inverse and Ill-Posed Problems Series consists of finding an essential part of information about the internal structure of an unknown medium. More particularly, the contact boundaries between various materials in the medium are sought. This investigation is implemented by studying an appropriate mathematical model, which is represented as a transport equation (linear Boltzmann's equation) together with certain boundary conditions. Both theoretical and numerical methods have been used and the results consist of proved theorems, computer testing of the corresponding algorithms, together with a number of tables.

THE THEORETICAL ASPECTS OF INVISIBILITY IN X-RAY TOMOGRAPHY

The diret problem to the monoenergetic transport equation

Setting the tomography problems and preliminary remarks

The preliminary statements

Modification of the indicator of heterogeneity and its properties

Invisible and poorly visible media in X-ray tomography

Examples of invisible media in X-ray tomography

Consideration of the case with energy dependence

THE TABLES OF POORLY VISIBLE PAIRS OF SUBSTANCES IN SOFT X-RAY TOMOGRAPHY

The tables of poorly visible pairs at the points of their coefficients continuity

The tables of poorly visible pairs at the points of their absorption edges

Extensions of the approach onto arbitrary substances

Bibliography

Mathematics

Inverse and Ill-Posed Problems Series

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