## Projection-space methods to take into account finite beam-width effects in two-dimensional tomography algorithms

JOSA A, Vol. 16, Issue 1, pp. 17-27 (1999)

http://dx.doi.org/10.1364/JOSAA.16.000017

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### Abstract

The geometrical properties of detection systems used for computerized tomography are often approximated by line integrals, despite the fact that the systems have nonnegligible beam widths as the result of a finite detector size and a finite acceptance angle. Ways to take into account these distance-dependent beam widths in algorithms for two-dimensional straight-line emission tomography are discussed. It is shown that the full three-dimensional imaging properties of the detection system, including filter functions, can be described in projection space. The relationships with the geometric matrix and the étendue (integral of solid angle over area) are discussed. Two methods to compensate for most of the beam-width effects have been developed, which can be combined with many tomography algorithms. The two methods are demonstrated to improve the quality of tomographic reconstructions of measurements by the bolometer tomography system on the Joint European Torus (JET) tokamak. The strengths and limitations of the methods are discussed.

© 1999 Optical Society of America

**OCIS Codes**

(100.3010) Image processing : Image reconstruction techniques

(100.3020) Image processing : Image reconstruction-restoration

(100.6950) Image processing : Tomographic image processing

(110.6960) Imaging systems : Tomography

**History**

Original Manuscript: March 6, 1998

Revised Manuscript: July 27, 1998

Manuscript Accepted: September 11, 1998

Published: January 1, 1999

**Citation**

L. C. Ingesson, P. J. Böcker, R. Reichle, M. Romanelli, and P. Smeulders, "Projection-space methods to take into account finite beam-width effects in two-dimensional tomography algorithms," J. Opt. Soc. Am. A **16**, 17-27 (1999)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-1-17

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