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.
Original language | English (US) |
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Pages | 1060-1063 |
Number of pages | 4 |
State | Published - 2001 |
Externally published | Yes |
Event | 2001 IEEE Nuclear Science Symposium Conference Record - San Diege, CA, United States Duration: Nov 4 2001 → Nov 10 2001 |
Other
Other | 2001 IEEE Nuclear Science Symposium Conference Record |
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Country/Territory | United States |
City | San Diege, CA |
Period | 11/4/01 → 11/10/01 |
ASJC Scopus subject areas
- Radiation
- Nuclear and High Energy Physics
- Radiology Nuclear Medicine and imaging