### 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 language | English (US) |
---|---|

Title of host publication | J.COMPUT.ASSISTED TOMOGRAPHY |

Pages | 64-74 |

Number of pages | 11 |

Volume | 1 |

Edition | 1 |

State | Published - 1977 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Medicine(all)

### Cite this

*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.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*J.COMPUT.ASSISTED TOMOGRAPHY.*1 edn, vol. 1, pp. 64-74.

}

TY - CHAP

T1 - Noise due to photon counting statistics in computed X ray tomography

AU - Chesler, D. A.

AU - Riederer, Stephen J

AU - Pelc, N. J.

PY - 1977

Y1 - 1977

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0017328286&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0017328286&partnerID=8YFLogxK

M3 - Chapter

C2 - 615896

AN - SCOPUS:0017328286

VL - 1

SP - 64

EP - 74

BT - J.COMPUT.ASSISTED TOMOGRAPHY

ER -