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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) is the cross-entropy (or Kullback-Leibler) distance between two nonnegative vectors a and b. Iterative algorithms for minimizing both functionals using the method… (More)

- Charles L. Byrne
- IEEE Trans. Med. 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 the gamma distribution model. Special cases of the resulting iterative method include the expectation maximization maximum likelihood (EMML) method based on the Poisson… (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 proximity function to obtain an approximate solution to the problem. The split feasibility problem (SFP) and the split equality problem (SEP) are generalizations of the CFP.… (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, the "expectation maximization" method for maximizing likelihood (EMML) and the simultaneous multiplicative algebraic reconstruction technique (SMART), through the use of… (More)

- Charles L. Byrne
- 2006

- Lee K. Jones, Charles L. Byrne
- IEEE Trans. Information Theory
- 1990

- E J Soares, C L Byrne, S J Glick
- IEEE transactions on medical imaging
- 2000

Researchers have shown increasing interest in block-iterative image reconstruction algorithms due to the computational and modeling advantages they provide. Although their convergence properties have been well documented, little is known about how they behave in the presence of noise. In this work, we fully characterize the ensemble statistical properties… (More)

- P H Pretorius, M A King, T S Pan, D J de Vries, S J Glick, C 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 anisotropic spatial resolution in SPECT slices. The objective of this investigation was to determine whether iterative reconstruction which includes modelling of the… (More)

- Hsin M Shieh, Charles L Byrne
- Journal of the Optical Society of America. A…
- 2006

We consider the problem of reconstructing a function f with bounded support S from finitely many values of its Fourier transform F. Although f cannot be band limited since it has bounded support, it is typically the case that f can be modeled as the restriction to S of a sigma-band-limited function, say g. Our reconstruction method is based on such a model… (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 filtering method is based on the frequency distance principle (FDP) which states that points in the object at a specific source-to-detector distance provide the most… (More)