The stability analysis of dynamic SPECT systems |
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| Authors: | J.M. Borwein W. Sun |
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| Affiliation: | (1) Centre for Experimental and Constructive Mathematics (CECM), Simon Fraser University, Burnaby, BC V5A 1S6, Canada; jborwein@cecm.sfu.ca, CA;(2) Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong; maweiw@sobolev.cityu.edu.hk, HK |
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| Abstract: | 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. Received February 1, 1996 / Revised version received August 2, 1996 |
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| Keywords: | Mathematics Subject Classification (1991): 68U10 41A30 65F35 |
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