A vector uniform cramer-rao bound for SPECT system design

L. J. Meng, Nan Li

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

Abstract

In this paper, we present the use of modified uniform Cramer-Rao type bounds (MUCRB) for the design of single photon emission tomography (SPECT) systems. The MUCRB is the lowest attainable total variance using any estimator of an unknown vector parameter, whose mean gradient matrix satisfies a given constraint. Since the mean gradient is closely related to local impulse function, the MUCRB approach can be used to evaluate the fundamental tradeoffs between spatial resolution and variance that are achievable with a given SPECT system design. As a possible application, this approach allows one to compare different SPECT system designs based on the optimum average resolution-variance tradeoffs that can be achieved across multiple control-points inside a region-of-interest. The formulation of the MUCRB allows detailed modelling of physical aspects of practical SPECT systems and requests only a modest computation load. It can be used as an analytical performance index for comparing different SPECT system or aperture designs.

Original languageEnglish (US)
Title of host publication2008 IEEE Nuclear Science Symposium Conference Record, NSS/MIC 2008
Pages4054-4064
Number of pages11
DOIs
StatePublished - 2008
Event2008 IEEE Nuclear Science Symposium Conference Record, NSS/MIC 2008 - Dresden, Germany
Duration: Oct 19 2008Oct 25 2008

Publication series

NameIEEE Nuclear Science Symposium Conference Record
ISSN (Print)1095-7863

Other

Other2008 IEEE Nuclear Science Symposium Conference Record, NSS/MIC 2008
CountryGermany
CityDresden
Period10/19/0810/25/08

Keywords

  • Resolution-variance tradeoffs
  • Single photon emission computed tomography (SPECT)
  • Uniform Cramer-Rao bound (UCRB)

ASJC Scopus subject areas

  • Radiation
  • Nuclear and High Energy Physics
  • Radiology Nuclear Medicine and imaging

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  • Cite this

    Meng, L. J., & Li, N. (2008). A vector uniform cramer-rao bound for SPECT system design. In 2008 IEEE Nuclear Science Symposium Conference Record, NSS/MIC 2008 (pp. 4054-4064). [4774175] (IEEE Nuclear Science Symposium Conference Record). https://doi.org/10.1109/NSSMIC.2008.4774175