NDLI: Nonnegative definite quadratic penalty design for penalized-likelihood reconstruction

Content Provider	IEEE Xplore Digital Library
Author	Webster Stayman, J. Fessler, J.A.
Copyright Year	2002
Description	Author affiliation: Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA (Webster Stayman, J.; Fessler, J.A.)
Abstract	Likelihood-based estimators with conventional regularization methods generally produces images with nonuniform and anisotropic spatial resolution properties. Previous work on penalty design for penalized-likelihood estimators has led to statistical reconstruction methods that yield approximately uniform "average" resolution. However some asymmetries in the local point-spread functions persist. Such anisotropies result in the elongation of otherwise symmetric features like circular lesions. All previously published penalty functions have used nonnegative values for the weighting coefficients between neighboring voxels. Such nonnegativity provides a sufficient (but not necessary) condition to ensure that the penalty function is convex, which in turn ensures that the objective function has a unique maximizer. This paper describes a novel method for penalty design that allows a subset of the weighting coefficients to take negative values, while still ensuring convexity of the penalty function. We demonstrate that penalties designed under these more flexible constraints yield local point-spread functions that are more isotropic than the previous penalty design methods for 2D PET image reconstruction.
Starting Page	1060
Ending Page	1063
File Size	286079
Page Count	4
File Format	PDF
ISBN	0780373243
ISSN	10823654
DOI	10.1109/NSSMIC.2001.1009735
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2001-11-04
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Image reconstruction Image resolution Anisotropic magnetoresistance Design methodology Spatial resolution Yield estimation Reconstruction algorithms Positron emission tomography Nonuniform sampling Maximum likelihood detection
Content Type	Text
Resource Type	Article

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