Noise due to photon counting statistics in computed X ray tomography

D. A. Chesler, Stephen J Riederer, N. J. Pelc

Research output: Chapter in Book/Report/Conference proceedingChapter

146 Citations (Scopus)

Abstract

A general expression is derived for the noise due to photon counting statistics in computed X ray tomography. The variance is inversely proportional to the cube of the resolution distance. For scanners using a water box, the noise in the reconstructed image depends inversely on the number of detected primary photons, summed over all angles, that have passed through a resolution element. Predictions of this formula agree well with the results of computer simulations. It is shown how this formula can be used to determine such parameters as required X ray flux, detector counting rate, and dose, with special emphasis on tradeoffs between these parameters and resolution. It is also shown that to determine the X ray attenuation coefficient of a resolution element to a given precision, the number of photons required by computed X ray tomography is close to a theoretical limit.

Original languageEnglish (US)
Title of host publicationJ.COMPUT.ASSISTED TOMOGRAPHY
Pages64-74
Number of pages11
Volume1
Edition1
StatePublished - 1977
Externally publishedYes

Fingerprint

X Ray Computed Tomography
Photons
Noise
X-Rays
Computer Simulation
Water

ASJC Scopus subject areas

  • Medicine(all)

Cite this

Chesler, D. A., Riederer, S. J., & Pelc, N. J. (1977). Noise due to photon counting statistics in computed X ray tomography. In J.COMPUT.ASSISTED TOMOGRAPHY (1 ed., Vol. 1, pp. 64-74)

Noise due to photon counting statistics in computed X ray tomography. / Chesler, D. A.; Riederer, Stephen J; Pelc, N. J.

J.COMPUT.ASSISTED TOMOGRAPHY. Vol. 1 1. ed. 1977. p. 64-74.

Research output: Chapter in Book/Report/Conference proceedingChapter

Chesler, DA, Riederer, SJ & Pelc, NJ 1977, Noise due to photon counting statistics in computed X ray tomography. in J.COMPUT.ASSISTED TOMOGRAPHY. 1 edn, vol. 1, pp. 64-74.
Chesler DA, Riederer SJ, Pelc NJ. Noise due to photon counting statistics in computed X ray tomography. In J.COMPUT.ASSISTED TOMOGRAPHY. 1 ed. Vol. 1. 1977. p. 64-74
Chesler, D. A. ; Riederer, Stephen J ; Pelc, N. J. / Noise due to photon counting statistics in computed X ray tomography. J.COMPUT.ASSISTED TOMOGRAPHY. Vol. 1 1. ed. 1977. pp. 64-74
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