NDLI: Using linear time-invariant system theory to estimate kinetic parameters directly from projection measurements

Content Provider	IEEE Xplore Digital Library
Author	Zeng, G.L. Gullberg, G.T. Huesman, R.H.
Copyright Year	1994
Description	Author affiliation: Dept. of Radiol., Utah Univ., Salt Lake City, UT, USA (Zeng, G.L.; Gullberg, G.T.)
Abstract	In a dynamic SPECT (single photon emission computed tomography) study, if an image is reconstructed for each detector rotation, the image will contain errors as the data for each projection angle are acquired at different times in the dynamic study. These errors will affect the kinetic parameter estimation. We hypothesize that more accurate estimates can be obtained if the parameters are estimated directly from the projections than from the reconstructions. It is more difficult to estimate the parameters from the projections than from the reconstructions. In the reconstructed images, all the regions are well separated, while in projections the regions are mixed. Estimation from the projections requires all projections of the kinetic models for each region. This results in a relatively complicated objective function, which is usually not well behaved and has many local minima due to the non-linear exponential terms. We propose a technique to estimate the exponential parameters separately using a linear model, which has a closed-form solution for the one parameter case and has a unique solution via the singular value decomposition (SVD) for the multiple parameter case. The other multiplicative parameters also have a linear model and are estimated once the exponential parameters have been fixed. The objective function with fixed exponential parameters is quadratic and well-behaved. No local minima are observed in computer simulations, which enabled us to obtain accurate estimation. Our computer simulations demonstrate that estimation directly from the projections are more accurate than the estimation from the reconstructed images.
Starting Page	1739
Ending Page	1743
File Size	442286
Page Count	5
File Format	PDF
ISBN	0780325443
DOI	10.1109/NSSMIC.1994.474728
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1994-10-30
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Estimation theory Parameter estimation Kinetic theory Image reconstruction Computer simulation Closed-form solution Positron emission tomography Radiology Cities and towns Laboratories
Content Type	Text
Resource Type	Article

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