## Cone-beam reconstruction by backprojection and filtering

JOSA A, Vol. 17, Issue 11, pp. 1993-2000 (2000)

http://dx.doi.org/10.1364/JOSAA.17.001993

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### Abstract

A new analytical method for tomographic image reconstruction from cone-beam projections acquired on the source orbits lying on a cylinder is presented. By application of a weighted cone-beam backprojection, the reconstruction problem is reduced to an image-restoration problem characterized by a shift-variant point-spread function that is given analytically. Assuming that the source is relatively far from the imaged object, a formula for an approximate shift-invariant inverse filter is derived; the filter is presented in the Fourier domain. Results of numerical experiments with circular and helical orbits are considered.

© 2000 Optical Society of America

**OCIS Codes**

(100.3010) Image processing : Image reconstruction techniques

(110.6960) Imaging systems : Tomography

**History**

Original Manuscript: December 6, 1999

Manuscript Accepted: June 29, 2000

Published: November 1, 2000

**Citation**

Andrei V. Bronnikov, "Cone-beam reconstruction by backprojection and filtering," J. Opt. Soc. Am. A **17**, 1993-2000 (2000)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-17-11-1993

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