Title

Microlocal Analysis Of An Fbp Algorithm For Truncated Spiral Cone Beam Data

Keywords

Analysis of artifacts; Approximate reconstruction; Cone-beam; Filtered back-projection algorithm; Spiral tomography

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.

Publication Date

11-15-2002

Publication Title

Journal of Fourier Analysis and Applications

Volume

8

Issue

5

Number of Pages

407-425

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/s00041-002-0020-7

Socpus ID

0036404034 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0036404034

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