**Charles Byrne**Professor

**College**College of Sciences**Department**Mathematical Science**Phone**(978) 934-2447**Email**Charles_Byrne@uml.edu

## Research Interests

iterative algorithms; optimization; signal processing; medical imaging.

iterative methods for solving large-scale systems of equations with constraints; image reconstruction from CAT and PET scan data; algorithms for radiation therapy; ocean acoustic signal processing; variational inequality problems.

## Education

**Ph D: Mathematics**, (1972), University of Pittsburgh - Washington, D.C.**MA: Mathematics**, (1970), Georgetown University - Washington, D.C.**BS: Mathematics**, (1968), Georgetown University - Washington, D.C.

## Selected Publications

**Byrne, C.**, Lee, J. (2015) "Alternating Minimization, Proximal Minimization and Optimization Transfer Are Equivalent,"*arXiv preprint arXiv:1512.03034***Byrne, C.**(2014) "A First Course in Optimization,"*CRC Press***Byrne, C.**(2014) "Iterative Optimization in Inverse Problems,"*CRC Press***Byrne, C.**(2014) "An elementary proof of convergence for the forward-backward splitting algorithm,"*Journal of Nonlinear and Convex Analysis*15:4 pp. 681-691**Byrne, C.**(2013) "Alternating Minimization as Sequential Unconstrained Minimization: A Survey,"*Journal of Optimization Theory and Applications*156:3 pp. 554-566- Qranfal, J.,
**Byrne, C.**(2011) "EM filter for time-varying spect reconstruction,"*International Journal of Pure and Applied Mathematics*73:4 pp. 379-403 - Qranfal, J.,
**Byrne, C.**(2011) "Smart filter for dynamic spect image reconstruction,"*International Journal of Pure and Applied Mathematics*73:4 pp. 405-434 - Shieh, H.M., Hsu, Y.C.,
**Byrne, C.**, Fiddy, M.A. (2010) "Resolution enhancement of imaging small-scale portions in a compactly supported function,"*Journal of the Optical Society of America A: Optics and Image Science, and Vision*27:2 pp. 141-150 - Shieh, H.M., Chung, C.H.,
**Byrne, C.**(2008) "Resolution enhancement in computerized tomographic imaging,"*Applied Optics*47:22 pp. 4116-4120 **Byrne, C.**(2008) "Sequential unconstrained minimization algorithms for constrained optimization,"*Inverse Problems*24:1- Shieh, H.M.,
**Byrne, C.**(2006) "Image reconstruction from limited Fourier data,"*Journal of the Optical Society of America A: Optics and Image Science, and Vision*23:11 pp. 2732-2736 - Shieh, H.M.,
**Byrne, C.**, Fiddy, M.A. (2006) "Image reconstruction: A unifying model for resolution enchancement and data extrapolation. Tutorial,"*Journal of the Optical Society of America A: Optics and Image Science, and Vision*23:2 pp. 258-266 - Shieh, H.M.,
**Byrne, C.**, Testorf, M.E., Fiddy, M.A. (2006) "Iterative image reconstruction using prior knowledge,"*Journal of the Optical Society of America A: Optics and Image Science, and Vision*23:6 pp. 1292-1300 - Vandenberghe, S., Staelens, S.,
**Byrne, C.**, Soares, E.J., Lemahieu, I., Glick, S.J. (2006) "Reconstruction of 2D PET data with Monte Carlo generated system matrix for generalized natural pixels,"*Physics in Medicine and Biology*51:12 pp. 3105-3125 **Byrne, C.**(2005) "Choosing parameters in block-iterative or ordered subset reconstruction algorithms,"*IEEE Transactions on Image Processing*14:3 pp. 321-327**Byrne, C.**(2004) "A unified treatment of some iterative algorithms in signal processing and image reconstruction,"*Inverse Problems*20:1 pp. 103-120- Butnariu, D.,
**Byrne, C.**, Censor, Y. (2003) "Redundant axioms in the definition of Bregman functions,"*Journal of Convex Analysis*10:1 pp. 245-254 - Narayanan, M.V., King, M.A.,
**Byrne, C.**(2002) "An iterative transmission algorithm incorporating cross-talk correction for SPECT,"*Medical physics*29:5 pp. 694-700 **Byrne, C.**(2002) "Iterative oblique projection onto convex sets and the split feasibility problem,"*Inverse Problems*18:2 pp. 441-453- Narayanan, M.V.,
**Byrne, C.**, King, M.A. (2001) "An interior point iterative maximum-likelihood reconstruction algorithm incorporating upper and lower bounds with application to SPECT transmission imaging,"*IEEE Transactions on Medical Imaging*20:4 pp. 342-353 **Byrne, C.**, Censor, Y. (2001) "Proximity Function Minimization Using Multiple Bregman Projections, with Applications to Split Feasibility and Kullback-Leibler Distance Minimization,"*Annals of Operations Research*105:1-4 pp. 77-98**Byrne, C.**(2000) "Block-iterative interior point optimization methods for image reconstruction from limited data,"*Inverse Problems*16:5 pp. 1405-1419- Narayanan, M.V., King, M.A., Wernick, M.N.,
**Byrne, C.**, Soares, E.J., Pretorius, P.H. (2000) "Improved image quality and computation reduction in 4-D reconstruction of cardiac-gated SPECT images,"*IEEE Transactions on Medical Imaging*19:5 pp. 423-433 - Soares, E.J.,
**Byrne, C.**, Glick, S.J. (2000) "Noise characterization of block-iterative reconstruction algorithms: I. Theory,"*IEEE Transactions on Medical Imaging*19:4 pp. 261-270 - Leahy, R.,
**Byrne, C.**(2000) "Recent developments in iterative image reconstruction for PET and SPECT.,"*IEEE Transactions on Medical Imaging*19:4 pp. 257-260 - Narayanan, M.V., King, M.A., Scares, E.J.,
**Byrne, C.**, Hendrik Pretorius, P., Wernick, M.N. (1999) "Application of the Karhunen-Lo ve Transform to 4D Reconstruction of Cardiac Gated SPECT Images,"*IEEE Transactions on Nuclear Science*46:4 PART 2 pp. 1001-1008 - Narayanan, M.V., King, M.A., Soares, E.J.,
**Byrne, C.**, Pretorius, P.H., Wernick, M.N. (1999) "Application of the Karhunen-Loeve transform to 4D reconstruction of cardiac gated SPECT images,"*IEEE Nuclear Science Symposium and Medical Imaging Conference*2: pp. 1141-1145 **Byrne, C.**(1999) "Iterative projection onto convex sets using multiple Bregman distances,"*Inverse Problems*15:5 pp. 1295-1313**Byrne, C.**(1998) "Accelerating the EMML algorithm and related iterative algorithms by rescaled block-iterative methods,"*IEEE Transactions on Image Processing*7:1 pp. 100-109**Byrne, C.**(1998) "Iterative algorithms for deblurring and deconvolution with constraints,"*Inverse Problems*14:6 pp. 1455-1467- Pretorius, P.H., King, M.A., Pan, T.S., De Vries, D.J., Glick, S.J.,
**Byrne, C.**(1998) "Reducing the influence of the partial volume effect on SPECT activity quantitation with 3D modelling of spatial resolution in iterative reconstruction,"*Physics in Medicine and Biology*43:2 pp. 407-420 - Pan, T.S., Tsui, B.M.,
**Byrne, C.**(1997) "Choice of initial conditions in the ML reconstruction of fan-beam transmission with truncated projection data,"*IEEE Transactions on Medical Imaging*16:4 pp. 426-438 **Byrne, C.**(1997) "Convergent block-iterative algorithms for image reconstruction from inconsistent data,"*IEEE Transactions on Image Processing*6:9 pp. 1296-1304- Liao, C.W., Fiddy, M.A.,
**Byrne, C.**(1997) "Imaging from the zero locations of far-field-intensity data,"*Journal of the Optical Society of America A: Optics and Image Science, and Vision*14:12 pp. 3155-3161 **Byrne, C.**(1996) "Block-iterative methods for image reconstruction from projections,"*IEEE Transactions on Image Processing*5:5 pp. 792-794- Glick, S.J., Penney, B.C., King, M.A.,
**Byrne, C.**(1994) "Noniterative compensation for the distance-dependent detector response and photon attenuation in SPECT imaging,"*IEEE Transactions on Medical Imaging*13:2 pp. 363-374 **Byrne, C.**, Haughton, D., Jiang, T. (1993) "High-resolution inversion of the discrete Poisson and binomial transformations,"*Inverse Problems*9:1 pp. 39-56- Soares, E.J.,
**Byrne, C.**, Glick, S.J., Appledorn, C.R., King, M.A. (1993) "Implementation and evaluation of an analytical solution to the photon attenuation and nonstationary resolution reconstruction problem in SPECT,"*IEEE Transactions on Nuclear Science*40:4 **Byrne, C.**(1993) "Iterative image reconstruction algorithms based on cross-entropy minimization,"*IEEE Transactions on Image Processing*2:1 pp. 96-103- Steele, A.K.,
**Byrne, C.**, Riley, J.L., Swift, M. (1993) "Performance comparison of high resolution bearing estimation algorithms using simulated and sea test data,"*IEEE Journal of Oceanic Engineering*18:4 pp. 438-446 **Byrne, C.**, Graham-Eagle, J. (1992) "Convergence properties of the algebraic reconstruction technique (ART),"**Byrne, C.**(1992) "Effects of modal phase errors on eigenvector and nonlinear methods for source localization in matched-field processing,"*Journal of the Acoustical Society of America*92:4 I pp. 2159-2164- Glick, S.J., Hawkins, W.G., King, M.A., Penney, B.C., Soares, E.J.,
**Byrne, C.**(1992) "The effect of intrinsic attenuation correction methods on the stationarity of the 3-D modulation transfer function of SPECT,"*Medical physics*19:4 pp. 1105-1112 **Byrne, C.**(1991) "The additive causal part of Burg's maximum entropy estimator and data consistency,"*IEEE Transactions on Signal Processing*39:4 pp. 958-959**Byrne, C.**, Brent, R.T., Feuillade, C., DelBalzo, D.R. (1990) "A stable data-adaptive method for matched-field array processing in acoustic waveguides,"*Journal of the Acoustical Society of America*87:6 pp. 2493-2502- Jones, L.K.,
**Byrne, C.**(1990) "General entropy criteria for inverse problems, with applications to data compression, pattern classification, and cluster analysis,"*IEEE Transactions on Information Theory*36:1 pp. 23-30 - Steele, A.K.,
**Byrne, C.**(1990) "High-resolution array processing using implicit eigenvector weighting techniques,"*IEEE Journal of Oceanic Engineering*15:1 pp. 8-13 - Frichter, G.M.,
**Byrne, C.**, Feuillade, C. (1990) "Sector-focused stability methods for robust source localization in matched-field processing,"*Journal of the Acoustical Society of America*88:6 pp. 2843-2851 - Bayley, J.S.,
**Byrne, C.**, Fiddy, M.A., Abbiss, J.B., Brames, B.J. (1988) "Image resolution enhancement on a neural network,"*Neural Networks*1:1 SUPPL pp. 425 **Byrne, C.**, Fiddy, M.A. (1988) "Images as power spectra; reconstruction as a Wiener filter approximation,"*Inverse Problems*4:2 pp. 399-409**Byrne, C.**, Steele, A.K. (1985) "STABLE NONLINEAR METHODS FOR SENSOR ARRAY PROCESSING.,"*IEEE Journal of Oceanic Engineering*OE-10:3 pp. 255-259**Byrne, C.**, Fitzgerald, R.M. (1984) "LINEAR AND NONLINEAR ESTIMATORS FOR ONE- AND TWO-DIMENSIONAL FOURIER TRANSFORMS.,"*IEEE Transactions on Acoustics, Speech, and Signal Processing*ASSP-32:4 pp. 914-916**Byrne, C.**, Fitzgerald, R.M. (1984) "SPECTRAL ESTIMATORS THAT EXTEND THE MAXIMUM ENTROPY AND MAXIMUM LIKELIHOOD METHODS.,"*SIAM Journal on Applied Mathematics*44:2 pp. 425-442**Byrne, C.**, Levine, B.M., Dainty, J.C. (1984) "STABLE ESTIMATION OF THE PROBABILITY DENSITY FUNCTION OF INTENSITY FROM PHOTON FREQUENCY COUNTS.,"*Journal of the Optical Society of America A: Optics and Image Science, and Vision*1:11 pp. 1132-1135**Byrne, C.**, Fitzgerald, R.M. (1983) "APPROXIMATION THEORETIC APPROACH TO MAXIMUM ENTROPY SPECTRAL ANALYSIS.,"*IEEE Transactions on Acoustics, Speech, and Signal Processing*ASSP-31:3 pp. 734-736**Byrne, C.**, Fitzgerald, R.M. (1983) "High-resolution beamforming with oversampled arrays,"*Journal of the Acoustical Society of America*74:4 pp. 1224-1227**Byrne, C.**, Fitzgerald, R.M., Fiddy, M.A., Hall, T.J., Darling, A.M. (1983) "IMAGE RESTORATION AND RESOLUTION ENHANCEMENT.,"*Journal of the Optical Society of America*73:11 pp. 1481-1487- Fitzgerald, R.,
**Byrne, C.**(1980) "EXTRAPOLATION OF BAND-LIMITED SIGNALS: A TUTORIAL.,"*Papers presented before the Symposium on Coal Preparation and Utilization*pp. 175-180