Title

Microlocal analysis of an FBP algorithm for truncated spiral cone beam data

Authors

Authors

A. Katsevich

Comments

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Abbreviated Journal Title

J. Fourier Anal. Appl.

Keywords

cone-beam; spiral tomography; approximate reconstruction; filtered; back-projection; algorithm; analysis of artifacts; FILTERED-BACKPROJECTION ALGORITHM; X-RAY TRANSFORM; HELICAL DATA; LONG-OBJECT; TOMOGRAPHY; Mathematics, Applied

Abstract

In this article we propose an FBP-type algorithm for inversion of spiral cone beam data, study its theoretical properties, and illustrate performance of the algorithm by numerical examples. In particular it is shown that the algorithm does not reconstruct f exactly, but computes the result of applying a pseudo-differential operator (PDO) with singular symbol to f. Away from critical directions the amplitude of this PDO is homogeneous of order zero in the dual variable, bounded, and approaches one as the pitch of the spiral goes to zero. Numerical experiments presented in the article show that even when the pitch is relatively large, the accuracy of reconstruction is quite high. On the other hand, under certain circumstances, the algorithm produces artifacts typical of all FBP-type algorithms.

Journal Title

Journal of Fourier Analysis and Applications

Volume

8

Issue/Number

5

Publication Date

1-1-2002

Document Type

Article

Language

English

First Page

407

Last Page

425

WOS Identifier

WOS:000177517000001

ISSN

1069-5869

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