Analytical approximations to the Hotelling trace for digital x-ray detectors

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

Abstract

The Hotelling trace is the signal-to-noise ratio for the ideal linear observer in a detection task. We provide an analytical approximation for this figure of merit when the signal is known exactly and the background is generated by a stationary random process, and the imaging system is an ideal digital x-ray detector. This approximation is based on assuming that the detector is infinite in extent. We test this approximation for finite-size detectors by comparing it to exact calculations using matrix inversion of the data covariance matrix. After verifying the validity of the approximation under a variety of circumstances, we use it to generate plots of the Hotelling trace as a function of pairs of parameters of the system, the signal and the background.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
EditorsL.E. Antonuk, M.J. Yaffe
Pages339-349
Number of pages11
Volume4320
DOIs
StatePublished - 2001
EventMedical Imaging 2001: Physics of Medical Imaging - San Diego, CA, United States
Duration: Feb 18 2001Feb 20 2001

Other

OtherMedical Imaging 2001: Physics of Medical Imaging
CountryUnited States
CitySan Diego, CA
Period2/18/012/20/01

Fingerprint

x ray detectors
Detectors
X rays
approximation
Covariance matrix
Random processes
Imaging systems
random processes
detectors
Signal to noise ratio
figure of merit
signal to noise ratios
plots
inversions

Keywords

  • Detectability
  • Digital radiography
  • Image quality
  • SNR

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Condensed Matter Physics

Cite this

Clarkson, E. W., Pineda, A. R., & Barrett, H. H. (2001). Analytical approximations to the Hotelling trace for digital x-ray detectors. In L. E. Antonuk, & M. J. Yaffe (Eds.), Proceedings of SPIE - The International Society for Optical Engineering (Vol. 4320, pp. 339-349) https://doi.org/10.1117/12.430932

Analytical approximations to the Hotelling trace for digital x-ray detectors. / Clarkson, Eric W; Pineda, A. R.; Barrett, Harrison H.

Proceedings of SPIE - The International Society for Optical Engineering. ed. / L.E. Antonuk; M.J. Yaffe. Vol. 4320 2001. p. 339-349.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Clarkson, EW, Pineda, AR & Barrett, HH 2001, Analytical approximations to the Hotelling trace for digital x-ray detectors. in LE Antonuk & MJ Yaffe (eds), Proceedings of SPIE - The International Society for Optical Engineering. vol. 4320, pp. 339-349, Medical Imaging 2001: Physics of Medical Imaging, San Diego, CA, United States, 2/18/01. https://doi.org/10.1117/12.430932
Clarkson EW, Pineda AR, Barrett HH. Analytical approximations to the Hotelling trace for digital x-ray detectors. In Antonuk LE, Yaffe MJ, editors, Proceedings of SPIE - The International Society for Optical Engineering. Vol. 4320. 2001. p. 339-349 https://doi.org/10.1117/12.430932
Clarkson, Eric W ; Pineda, A. R. ; Barrett, Harrison H. / Analytical approximations to the Hotelling trace for digital x-ray detectors. Proceedings of SPIE - The International Society for Optical Engineering. editor / L.E. Antonuk ; M.J. Yaffe. Vol. 4320 2001. pp. 339-349
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