Title

A One-Pi Algorithm For Helical Trajectories That Violate The Convexity Condition

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. © 2006 IOP Publishing Ltd.

Publication Date

12-1-2006

Publication Title

Inverse Problems

Volume

22

Issue

6

Number of Pages

2123-2143

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1088/0266-5611/22/6/013

Socpus ID

33846059360 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/33846059360

This document is currently not available here.

Share

COinS