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Charles Byrne

Charles Byrne
Charles ByrneProfessor
  • CollegeCollege of Sciences
  • DepartmentMathematical Science
  • Phone(978) 934-2447
  • EmailCharles_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.

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)," 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 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