A unified analysis of FBP-based algorithms in helical cone-beam and circular cone- and fan-beam scans.

Abstract:

:A circular scanning trajectory is and will likely remain a popular choice of trajectory in computed tomography (CT) imaging because it is easy to implement and control. Filtered-backprojection (FBP)-based algorithms have been developed previously for approximate and exact reconstruction of the entire image or a region of interest within the image in circular cone-beam and fan-beam cases. Recently, we have developed a 3D FBP-based algorithm for image reconstruction on PI-line segments in a helical cone-beam scan. In this work, we demonstrated that the 3D FBP-based algorithm indeed provided a rather general formulation for image reconstruction from divergent projections (such as cone-beam and fan-beam projections). On the basis of this formulation we derived new approximate or exact algorithms for image reconstruction in circular cone-beam or fan-beam scans, which can be interpreted as special cases of the helical scan. Existing algorithms corresponding to the derived algorithms were identified. We also performed a preliminary numerical study to verify our theoretical results in each of the cases. The results in the work can readily be generalized to other non-circular trajectories.

journal_name

Phys Med Biol

authors

Pan X,Xia D,Zou Y,Yu L

doi

10.1088/0031-9155/49/18/011

subject

Has Abstract

pub_date

2004-09-21 00:00:00

pages

4349-69

issue

18

eissn

0031-9155

issn

1361-6560

journal_volume

49

pub_type

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