Title

Improved cone beam local tomography

Authors

Authors

A. Katsevich

Comments

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Abbreviated Journal Title

Inverse Probl.

Keywords

X-RAY TRANSFORM; RECONSTRUCTION; Mathematics, Applied; Physics, Mathematical

Abstract

In this paper, we study cone beam local tomography (LT). A new LT function g is proposed. It is shown that g contains non-local artefacts, but their strength is an order of magnitude smaller than those of the previously known LT function g(Lambda) of Louis A K and Maass P (1993 IEEE Trans. Med. Imaging 12 764-69). We also investigate LT reconstruction in the dynamic case, i.e. when the object f being scanned is undergoing some changes during the scan. Properties of g are studied, the notion of visible singularities is suitably generalized, and a relationship between the wave fronts of f and g is established. It is shown that the changes in f do not cause any smearing of the singularities of g. Numerical implementation of the new LT function is discussed, and results of numerical experiments are presented.

Journal Title

Inverse Problems

Volume

22

Issue/Number

2

Publication Date

1-1-2006

Document Type

Article

Language

English

First Page

627

Last Page

643

WOS Identifier

WOS:000237030900017

ISSN

0266-5611

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