Skip to main content

Applications of Statistical Decision Theory in Nuclear Medicine

  • Chapter
  • 83 Accesses

Abstract

Over the last several years, Bayesian decision and estimation theory has become a central theme in the nuclear medicine research program at the University of Arizona. We have used concepts from this theory for image reconstruction, evaluation and optimization of imaging systems, position arithmetic in scintillation cameras, and in decision making in the operating room. In this paper, a brief review of Bayesian theory is given, followed by a survey of all of these applications, with emphasis on points of commonality among them.

Keywords

  • Fractal Dimension
  • Receiver Operating Characteristic Curve
  • Matched Filter
  • Bayesian Decision
  • Ideal Observer

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • DOI: 10.1007/978-1-4615-7263-3_9
  • Chapter length: 16 pages
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
eBook
USD   59.99
Price excludes VAT (USA)
  • ISBN: 978-1-4615-7263-3
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD   79.99
Price excludes VAT (USA)

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Barrett, H.H., Smith, W.E., Myers, K.J., Milster, T.D., and Fiete, R.D. (1985) Quantifying the performance of imaging systems, SPIE, Application of Optical Instrumentation in Medicine XIII, 535, 65–69.

    CrossRef  Google Scholar 

  • Barrett, H.H., Myers, K.J. and Wagner, R.F. (1986) Beyond signal-detection theory, SPIE, Application of Optical Instrumentation in Medicine XIV, 626.

    Google Scholar 

  • Berger, J.O., 1985, Satistical Decision Theory and Bayesian Analysis, 2nd Ed., Springer-Verlag, New York.

    CrossRef  Google Scholar 

  • Fiete, R.D., Barrett, H.H., Smith, W.E., and Myers, K.J. (1987) Hotelling trace criterion and its correlation with human-observer performance,“ J. Opt. Soc. Am. A, 4, 5.

    CrossRef  Google Scholar 

  • Fukunaga, K. (1972) Introduction to Statistical Pattern Recognition, Academic Press, New York.

    Google Scholar 

  • Hanson, K.M. (1987) “Bayesian and related methods in image reconstruction from incomplete data”, in “Image Recovery: Theory and Applications”, H. Stark, ed., Academic Press.

    Google Scholar 

  • Melsa, J.L. and Cohn, D.L. (1978) in “Decision and Estimation Theory”, McGraw-Hill, New York.

    MATH  Google Scholar 

  • Metz, C.E. (1978) Basic principles of ROC analysis, Sem. Nucl. Med., 8, 283–298.

    CrossRef  Google Scholar 

  • Myers, K.J., Barrett, H.H., Borgstrom, M.C., Patton, D.D., and Seeley, G.W. (1985) Effect of noise correlation on detectability of disk signals in medical imaging, J. Opt. Soc. Am. A., 2, 1752–1759.

    CrossRef  Google Scholar 

  • Sakrison, D.J. (1970) Notes on Analog Communication, G.L. Turin, Ed., Van Nostrand Reinhold Company, New York.

    Google Scholar 

  • Swets, J.A., and Pickett, R.M. (1982) Evaluation of Diagnostic Systems, Academic Press, New York.

    Google Scholar 

  • Van Trees, H.L. (1968) Detection, Estimation, and Modulation Theory, Vols. I, II, and I II, John Wiley, New York.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1988 Springer Science+Business Media New York

About this chapter

Cite this chapter

Barrett, H.H. et al. (1988). Applications of Statistical Decision Theory in Nuclear Medicine. In: de Graaf, C.N., Viergever, M.A. (eds) Information Processing in Medical Imaging. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-7263-3_9

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-7263-3_9

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4615-7265-7

  • Online ISBN: 978-1-4615-7263-3

  • eBook Packages: Springer Book Archive