Title

Theoretically exact filtered backprojection-type inversion algorithm for spiral CT

Authors

Authors

A. Katsevich

Comments

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Abbreviated Journal Title

SIAM J. Appl. Math.

Keywords

cone beam; spiral tomography; theoretically exact reconstruction; filtered backprojection algorithm; CONE-BEAM TOMOGRAPHY; LONG-OBJECT PROBLEM; Mathematics, Applied

Abstract

Proposed is a theoretically exact formula for inversion of data obtained by a spiral computed tomography ( CT) scan with a two- dimensional detector array. The detector array is supposed to be of limited extent in the axial direction. The main property of the formula is that it can be implemented in a truly filtered backprojection fashion. First, one performs shift- invariant filtering of a derivative of the cone beam projections, and, second, the result is backprojected in order to form an image. Another property is that the formula solves the so- called long object problem. Limitations of the algorithm are discussed. Results of numerical experiments are presented.

Journal Title

Siam Journal on Applied Mathematics

Volume

62

Issue/Number

6

Publication Date

1-1-2002

Document Type

Article

Language

English

First Page

2012

Last Page

2026

WOS Identifier

WOS:000177412500008

ISSN

0036-1399

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