The tomography problem considered in this monograph 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.
Reihe
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Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für Beruf und Forschung
US School Grade: College Graduate Student
Gewicht
ISBN-13
978-90-6764-374-0 (9789067643740)
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Schweitzer Klassifikation
Introduction
Main notations
The theoretical aspects of invisibility in X-ray tomography
The direct 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
