Combined Diagonal/Fourier Preconditioning Methods for Image Reconstruction in Emission Tomography
dc.contributor.author | Booth, Scott D. | en_US |
dc.contributor.author | Fessler, Jeffrey A. | en_US |
dc.date.accessioned | 2011-08-18T18:21:15Z | |
dc.date.available | 2011-08-18T18:21:15Z | |
dc.date.issued | 1995-10-23 | en_US |
dc.identifier.citation | Booth, S.D.; Fessler, J.A. (1995). "Combined Diagonal/Fourier Preconditioning Methods for Image Reconstruction in Emission Tomography." International Conference on Image Processing 2: 441-444. <http://hdl.handle.net/2027.42/85972> | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/85972 | |
dc.description.abstract | Iterative methods for tomographic image reconstruction often converge slowly. Preconditioning methods can often accelerate gradient-based iterations. Previous preconditioning methods for PET reconstruction have used either diagonal or Fourier-based preconditioners. Fourier-based preconditioners are well suited to problems with near-circulant Hessian matrices. However, due to the nonuniform Poisson noise variance in PET, the circulant approximation to the Hessian is suboptimal. This paper shows that a particular combined diagonal/Fourier preconditioner yields a more accurate approximation to the Hessian and gives significantly faster convergence rates than does either preconditioner used alone. | en_US |
dc.publisher | IEEE | en_US |
dc.title | Combined Diagonal/Fourier Preconditioning Methods for Image Reconstruction in Emission Tomography | 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 | Bioengineering Program and Dept. of Electrical Engineering and Computer Science. | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/85972/1/Fessler135.pdf | |
dc.identifier.doi | 10.1109/ICIP.1995.537510 | en_US |
dc.identifier.source | International Conference on Image Processing | en_US |
dc.owningcollname | Electrical Engineering and Computer Science, Department of (EECS) |
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