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Numerische Mathematik

, Volume 77, Issue 3, pp 283–298 | Cite as

The stability analysis of dynamic SPECT systems

  • J.M. Borwein
  • W. Sun

Summary.

SPECT (Single Photon Emission Computed Tomography) techniques have been applied to a wide range of medical studies. The stability of a SPECT model depends strongly upon the data collected. We show that a SPECT model is full rank and well-conditioned (stable) if the projection data are large enough. Condition number estimates for a linear model are given. Numerical results for a class of linear models confirm our theoretical analysis.

Mathematics Subject Classification (1991): 68U10, 41A30, 65F35 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • J.M. Borwein
    • 1
  • W. Sun
    • 2
  1. 1.Centre for Experimental and Constructive Mathematics (CECM), Simon Fraser University, Burnaby, BC V5A 1S6, Canada; jborwein@cecm.sfu.caCA
  2. 2.Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong; maweiw@sobolev.cityu.edu.hkHK

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