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.
© 1986 Optical Society of America
Full Article | PDF ArticleMore Like This
Keith E. Bennett, Gregory W. Faris, and Robert L. Byer
Appl. Opt. 23(16) 2678-2685 (1984)
Martin Müller and Gonzalo R. Arce
J. Opt. Soc. Am. A 11(9) 2410-2428 (1994)
Edward J. Beiting
Appl. Opt. 31(9) 1328-1343 (1992)