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Proceedings Paper

Reconstructions from parallel- and fan-beam data with truncations
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Paper Abstract

A formula was recently described by Clackdoyle et. al. for image reconstruction within a region of interest (ROI) from knowledge of its truncated 2D Radon transform. In this work, we present an alternative, simple derivation of the formula by using the well-known relationship between the parallel-beam and fan-beam geometries. Based upon our derivation, the role of parameter t in the formula in ROI-image reconstruction can be clearly identified. We show that the parameter t determines the size of a reconstructible ROI from parallel-beam data containing truncations. Numerical studies were performed to by use of the formula with different t. We show that the formula yields ROI images with smaller sizes and lower quality than does our backprojection filtration algorithm.

Paper Details

Date Published: 2 March 2006
PDF: 5 pages
Proc. SPIE 6142, Medical Imaging 2006: Physics of Medical Imaging, 614222 (2 March 2006); doi: 10.1117/12.652236
Show Author Affiliations
Dan Xia, The Univ. of Chicago (United States)
Yu Zou, The Univ. of Chicago (United States)
Xiaochuan Pan, The Univ. of Chicago (United States)

Published in SPIE Proceedings Vol. 6142:
Medical Imaging 2006: Physics of Medical Imaging
Michael J. Flynn; Jiang Hsieh, Editor(s)

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