Efficient Calculation of Resolution and Covariance for Penalized-Likelihood Reconstruction in Fully 3-D SPECT
dc.contributor.author | Stayman, J. Webster | en_US |
dc.contributor.author | Fessler, Jeffrey A. | en_US |
dc.date.accessioned | 2011-08-18T18:21:19Z | |
dc.date.available | 2011-08-18T18:21:19Z | |
dc.date.issued | 2004-11-30 | en_US |
dc.identifier.citation | Stayman, J. W.; Fessler, J. A. (2004). "Efficient Calculation of Resolution and Covariance for Penalized-Likelihood Reconstruction in Fully 3-D SPECT." IEEE Transactions on Medical Imaging 23(12): 1543-1556. <http://hdl.handle.net/2027.42/85992> | en_US |
dc.identifier.issn | 0278-0062 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/85992 | |
dc.description.abstract | Resolution and covariance predictors have been derived previously for penalized-likelihood estimators. These predictors can provide accurate approximations to the local resolution properties and covariance functions for tomographic systems given a good estimate of the mean measurements. Although these predictors may be evaluated iteratively, circulant approximations are often made for practical computation times. However, when numerous evaluations are made repeatedly (as in penalty design or calculation of variance images), these predictors still require large amounts of computing time. In Stayman and Fessler (2000), we discussed methods for precomputing a large portion of the predictor for shift-invariant system geometries. In this paper, we generalize the efficient procedure discussed in Stayman and Fessler (2000) to shift-variant single photon emission computed tomography (SPECT) systems. This generalization relies on a new attenuation approximation and several observations on the symmetries in SPECT systems. These new general procedures apply to both two-dimensional and fully three-dimensional (3-D) SPECT models, that may be either precomputed and stored, or written in procedural form. We demonstrate the high accuracy of the predictions based on these methods using a simulated anthropomorphic phantom and fully 3-D SPECT system. The evaluation of these predictors requires significantly less computation time than traditional prediction techniques, once the system geometry specific precomputations have been made. | en_US |
dc.publisher | IEEE | en_US |
dc.title | Efficient Calculation of Resolution and Covariance for Penalized-Likelihood Reconstruction in Fully 3-D SPECT | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Biomedical Engineering | en_US |
dc.subject.hlbtoplevel | Engineering | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Electrical Engineering and Computer Science Department. | en_US |
dc.contributor.affiliationother | Research and Devlopment Department, Xoran Technologies, Inc,. 309 North First Street, Ann Arbor, MI 48103 USA. | en_US |
dc.identifier.pmid | 15575411 | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/85992/1/Fessler54.pdf | |
dc.identifier.doi | 10.1109/TMI.2004.837790 | en_US |
dc.identifier.source | IEEE Transactions on Medical Imaging | en_US |
dc.owningcollname | Electrical Engineering and Computer Science, Department of (EECS) |
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