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Optical Engineering

Reconstruction from incomplete data in cone-beam tomography
Author(s): Harish P. Hiriyannaiah; Mohan Satyaranjan; K. R. Ramakrishnan
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Paper Abstract

A method for reconstruction of an object f (x) x5(x ,y ,z ) from a limited set of cone-beam projection data has been developed. This method uses a modified form of convolution back-projection and projection onto convex sets (POCS) for handling the limited (or incomplete) data problem. In cone-beam tomography, one needs to have a complete geometry to completely reconstruct the original three-dimensional object. While complete geometries do exist, they are of little use in practical implementations. The most common trajectory used in practical scanners is circular, which is incomplete. It is, however, possible to recover some of the information of the original signal f (x) based on a priori knowledge of the nature of f (x). If this knowledge can be posed in a convex set framework, then POCS can be utilized. In this report, we utilize this a priori knowledge as convex set constraints to reconstruct f (x) using POCS. While we demonstrate the effectiveness of our algorithm for circular trajectories, it is essentially geometry independent and will be useful in any limited-view cone-beam reconstruction.

Paper Details

Date Published: 1 September 1996
PDF: 13 pages
Opt. Eng. 35(9) doi: 10.1117/1.600841
Published in: Optical Engineering Volume 35, Issue 9
Show Author Affiliations
Harish P. Hiriyannaiah, InfoSoft Inc. (United States)
Mohan Satyaranjan, Motorola Electronics Ltd. (India)
K. R. Ramakrishnan, Indian Institute of Science Bangalore (India)

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