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Proceedings Paper

Exact and efficient computation of noise covariance for fan-beam FBP reconstructions that use rebinning to parallel-beam geometry
Author(s): Adam Wunderlich; Frédéric Noo
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Paper Abstract

X-ray CT data collected in fan-beam geometry is often rebinned to parallel-beam geometry before image reconstruction. In this work, we propose an exact, efficient method to analytically calculate the covariance between image pixels for an FBP reconstruction when such a rebinning step is performed. As a special case, the method also enables calculation of image variance. Our approach builds on a previous investigation of noise covariance for direct fan-beam FBP reconstruction, and encompasses commonly used variants of parallel-beam rebinning algorithms that include data interleaving steps to process fan-beam data acquired with either a quarter-detector offset or a flying focal spot. The accuracy of the variance and covariance calculation results is validated through comparison with Monte Carlo estimates.

Paper Details

Date Published: 3 March 2012
PDF: 9 pages
Proc. SPIE 8313, Medical Imaging 2012: Physics of Medical Imaging, 831323 (3 March 2012); doi: 10.1117/12.910545
Show Author Affiliations
Adam Wunderlich, The Univ. of Utah (United States)
Frédéric Noo, The Univ. of Utah (United States)


Published in SPIE Proceedings Vol. 8313:
Medical Imaging 2012: Physics of Medical Imaging
Norbert J. Pelc; Robert M. Nishikawa; Bruce R. Whiting, Editor(s)

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