Title

A one-PI algorithm for helical trajectories that violate the convexity condition

Authors

Authors

M. Kapralov;A. Katsevich

Comments

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Abbreviated Journal Title

Inverse Probl.

Keywords

CONE-BEAM RECONSTRUCTION; IMAGE-RECONSTRUCTION; COMPUTED-TOMOGRAPHY; INVERSION ALGORITHM; VARIABLE PITCH; SPIRAL CT; PROJECTION; LINES; Mathematics, Applied; Physics, Mathematical

Abstract

We develop an exact filtered backprojection reconstruction algorithm for dynamic-pitch helical trajectories when the convexity condition is violated. The algorithm is a modification of the original inversion formula, which was proposed earlier by one of the authors for a constant-pitch helix. Two filtering lines are added to the algorithm to guarantee exactness. We also study the region where the algorithm applies. It does not extend all the way to the helix, but its size depends on the severity of the violation. If the violation is not very strong, then the region is sufficiently large. Results of numerical experiments are presented.

Journal Title

Inverse Problems

Volume

22

Issue/Number

6

Publication Date

1-1-2006

Document Type

Article

Language

English

First Page

2123

Last Page

2143

WOS Identifier

WOS:000242449500013

ISSN

0266-5611

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