Fan-beam-tomography noise theory
- 1 May 1986
- journal article
- Published by Optica Publishing Group in Journal of the Optical Society of America A
- Vol. 3 (5), 624-633
- https://doi.org/10.1364/josaa.3.000624
Abstract
We present a theoretical analysis of noise and tomographic images reconstructed with the convolution backprojection method. This analysis is valid for both the fan-beam geometry with detectors evenly spaced on a curved arc and the parallel-beam geometry. Effects of position within the fan source circle, spatial averaging, and correlations with the projection noise are included. Convolving the data with a triangle filter of width d is shown to reduce the noise variance as d-3.Keywords
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