Linear discriminants and image quality

H. H. Barrett, T. Gooley, K. Girodias, J. Rolland, T. White, J. Yao

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

14 Scopus citations


The use of linear discriminant functions, and particularly a discriminant function derived from the work of Harold Hotelling, as a means of assessing image quality is reviewed. The relevant theory of ideal or Bayesian observers is briefly reviewed, and the circumstances under which this observer reduces to a linear discriminant are discussed. The Hotelling oberver is suggested as a linear discriminant in more general circumstances where the ideal observer is nonlinear and usually very difficult to calculate. Methods of calculation of the Hotelling discriminant and the associated figure of merit, the Hotelling trace, are discussed. Psychophysical studies carried out at the University of Arizona to test the predictive value of the Hotelling observer are reviewed, and it is concluded that the Hotelling model is quite useful as a predictive tool unless there are high-pass noise correlations introduced by post-processing of the images. In that case, we suggest that the Hotelling observer be modified to include spatial-frequency-selective channels analogous to those in the visual system.

Original languageEnglish (US)
Title of host publicationInformation Processing in Medical Imaging - 12th International Conference, IPMI 1991, Proceedings
EditorsAlan C.F. Colchester, David J. Hawkes
Number of pages16
ISBN (Print)9783540542469
StatePublished - 1991
Event12th International Conference on Information Processing in Medical Imaging, IPMI 1991 - Wye, United Kingdom
Duration: Jul 7 1991Jul 12 1991

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume511 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Other12th International Conference on Information Processing in Medical Imaging, IPMI 1991
Country/TerritoryUnited Kingdom


  • Hotelling trace
  • Ideal observer
  • Image quality
  • Linear discriminant functions
  • Medical imaging

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)


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