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- Charles L. Byrne
- IEEE Trans. Image Processing
- 1993

The related problems of minimizing the functionals F(x)=alphaKL(y,Px)+(1-alpha)KL(p,x) and G(x)=alphaKL(Px,y)+(1-alpha)KL(x,p), respectively, over the set of vectors x=/>0 are considered. KL(a, b) isâ€¦ (More)

- Charles L. Byrne
- IEEE Trans. Image Processing
- 1998

Analysis of convergence of the algebraic reconstruction technique (ART) shows it to be predisposed to converge to a solution faster than simultaneous methods, such as those of the Cimmino-Landweberâ€¦ (More)

- Charles L. Byrne
- IEEE Trans. Image Processing
- 1997

It has been shown that convergence to a solution can be significantly accelerated for a number of iterative image reconstruction algorithms, including simultaneous Cimmino-type algorithms, theâ€¦ (More)

- Charles L. Byrne
- IEEE Transactions on Medical Imaging
- 2001

The maximum a posteriori (MAP) Bayesian iterative algorithm using priors that are gamma distributed, due to Lange, Bahn and Little, is extended to include parameter choices that fall outside theâ€¦ (More)

- Charles L. Byrne
- IEEE Trans. Image Processing
- 1996

The simultaneous MART algorithm (SMART) and the expectation maximization method for likelihood maximization (EMML) are extended to block-iterative versions, BI-SMART and BI-EMML, that converge to aâ€¦ (More)

The convex feasibility problem (CFP) is to find a member of the intersection of finitely many closed convex sets in Euclidean space. When the intersection is empty, one can minimize a proximityâ€¦ (More)

- Charles L. Byrne
- J. Optimization Theory and Applications
- 2013

Sequential unconstrained minimization is a general iterative method for minimizing a function over a given set. At each step of the iteration we minimize the sum of the objective function and anâ€¦ (More)

- Stephen J. Glick, B. C. Penney, Michael A. King, Charles L. Byrne
- IEEE Trans. Med. Imaging
- 1994

A filtering approach is described, which accurately compensates for the 2D distance-dependent detector response, as well as for photon attenuation in a uniform attenuating medium. The filteringâ€¦ (More)

- P. Hendrik Pretorius, Michael A. King, T S Pan, D.J. de Vries, Stephen J. Glick, Charles L. Byrne
- Physics in medicine and biology
- 1998

Quantitative parameters such as the maximum and total counts in a volume are influenced by the partial volume effect. The magnitude of this effect varies with the non-stationary and anisotropicâ€¦ (More)

- Edward J. Soares, Charles L. Byrne, Stephen J. Glick
- IEEE Trans. Med. Imaging
- 2000