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 Biology43:2 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),” pp. 1240–1242
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 America88:6 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 Mathematics44:2 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
