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Optical Engineering

Constrained sinogram restoration for limited-angle tomography
Author(s): Jerry L. Prince; Alan S. Willsky
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Paper Abstract

Tomographic reconstruction from incomplete data is required in many fields, including medical imaging, sonar, and radar. In this paper, we present a new reconstruction algorithm for limited-angle tomography, a problem that occurs when projections are missing over a range of angles. The approach uses a variational formulation that incorporates the Ludwig-Helgason consistency conditions, measurement noise statistics, and a sinogram smoothness condition. Optimal restored sinograms, therefore, satisfy an associated Euler-Lagrange partial differential equation, which we solve on a lattice using a primal-dual optimization procedure. Object estimates are then reconstructed using convolution backprojection applied to the restored sinogram. We present results of simulations that illustrate the performance of the algorithm and discuss directions for further research.

Paper Details

Date Published: 1 May 1990
PDF: 10 pages
Opt. Eng. 29(5) doi: 10.1117/12.55622
Published in: Optical Engineering Volume 29, Issue 5
Show Author Affiliations
Jerry L. Prince, Johns Hopkins Univ. (United States)
Alan S. Willsky, Massachusetts Institute of Technology (United States)


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