Title

Exact Filtered Backprojection Reconstruction For Dynamic Pitch Helical Cone Beam Computed Tomography

Abstract

We present an exact filtered backprojection reconstruction formula for helical cone beam computed tomography in which the pitch of the helix varies with time. We prove that the resulting algorithm, which is functionally identical to the constant pitch case, provides exact reconstruction provided that the projection of the helix onto the detector forms convex boundaries and that PI lines are unique. Furthermore, we demonstrate that both of these conditions are satisfied provided the sum of the translational velocity and the derivative of the translational acceleration does not change sign. As a special case, we show that gantry tilt can also be handled by our dynamic pitch formula. Simulation results demonstrate the resulting algorithm. © 2004 IOP Publishing Ltd.

Publication Date

7-21-2004

Publication Title

Physics in Medicine and Biology

Volume

49

Issue

14

Number of Pages

3089-3103

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1088/0031-9155/49/14/004

Socpus ID

4344623541 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/4344623541

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