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Exact filtered backprojection reconstruction for dynamic pitch helical cone beam computed tomography.

Authors
  • Katsevich, Alexander
  • Basu, Samit
  • Hsieh, Jiang
Type
Published Article
Journal
Physics in medicine and biology
Publication Date
Jul 21, 2004
Volume
49
Issue
14
Pages
3089–3103
Identifiers
PMID: 15357183
Source
Medline
License
Unknown

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.

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