Title

An Improved Exact Filtered Backprojection Algorithm For Spiral Computed Tomography

Keywords

Cone-beam; Filtered back-projection algorithm; Spiral tomography; Theoretically exact reconstruction

Abstract

Proposed is a theoretically exact formula for inversion of data obtained by a spiral computed tomography 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 back-projected in order to form an image. Compared with an earlier reconstruction algorithm proposed by the author, the new one is two times faster, requires a smaller detector array, and does not impose restrictions on how big the patient is inside the gantry. Results of numerical experiments are presented. © 2003 Elsevier Inc. All rights reserved.

Publication Date

1-1-2004

Publication Title

Advances in Applied Mathematics

Volume

32

Issue

4

Number of Pages

681-697

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/S0196-8858(03)00099-X

Socpus ID

2442661205 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/2442661205

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