**Position:**Distinguished Professor

**Campus Affiliation:**Graduate Center

**Degrees/Diplomas:**Ph.D., University of London

**Research Interests:**Tomography, digital topology, 3-d renderings in medicine

## Books in Print

Geometry of Digital Spaces, Birkhäuser Boston, 1998

Discrete Tomography: Foundations, Algorithms, and Applications, Birkhäuser Boston, 1999

3D Imaging in Medicine, 2nd Edition, CRC Press, 2000

Advances in Discrete Tomography and Its Applications, Birkhäuser Boston, 2007

Fundamentals of Computerized Tomography: Image Reconstruction from Projections, 2nd Edition, Springer, 2009

## Recent and Current Courses

The Geometry of Digital Spaces, Department of Computer Science, The Graduate Center, City University of New York, Fall 2002

Image Processing, Computer Vision and Visualization, Department of Computer Science, The Graduate Center, City University of New York, Spring 2003

Discrete Tomography, Department of Computer Science, The Graduate Center, City University of New York, Fall 2003

Readings in Computer Science: Algorithms for Image Reconstruction from Projections, Department of Computer Science, The Graduate Center, City University of New York, Spring 2004

Seminar in Image Processing and Computer Vision, Department of Computer Science, The Graduate Center, City University of New York, Spring 2004

Seminar in Image Processing and Computer Vision, Department of Computer Science, The Graduate Center, City University of New York, Spring 2005

Reconstruction from Projections, Department of Computer Science, The Graduate Center, City University of New York, Fall 2005

Seminar in Image Processing and Computer Vision, Department of Computer Science, The Graduate Center, City University of New York, Spring 2006

Discrete Tomography and Its Applications, Department of Computer Science, The Graduate Center, City University of New York, Fall 2006

Seminar in Image Processing and Computation, Department of Computer Science, The Graduate Center, City University of New York, Spring 2007

Statistical Models in Computer Science, Department of Computer Science, The Graduate Center, City University of New York, Fall 2007

Seminar in Image Processing and Computer Vision, Department of Computer Science, The Graduate Center, City University of New York, Spring 2008

Reconstruction from Projections, Department of Computer Science, The Graduate Center, City University of New York, Fall 2008

Seminar in Image Processing and Computer Vision, Department of Computer Science, The Graduate Center, City University of New York, Fall 2009

Inverse Problems in Imaging, Department of Computer Science, The Graduate Center, City University of New York, Spring 2010

Seminar in Image Processing and Computer Vision, Department of Computer Science, The Graduate Center, City University of New York, Fall 2010

Multidimensional Data Structures, Department of Computer Science, The Graduate Center, City University of New York, Spring 2011

Practical Considerations for the Desigh of Efficient Algorithms, Department of Computer Science, The Graduate Center, City University of New York, Spring 2012

Seminar in Image Processing and Computer Vision, Department of Computer Science, The Graduate Center, City University of New York, Fall 2012

## Conferences (since 2010)

Optimization Theory and Related Topics, January 11-14, 2010, Haifa, Israel (Invited Speaker)

Mathematical Problems, Models and Methods in Biomedical Imaging , February 8-12, 2010, Los Angeles, USA (Invited Speaker)

Minisymposium on Computational Methods in Three-Dimensional Microscopy Reconstruction, November 8, 2010, New York, New York, USA (Organizer)

Minisymposium on Computational Methods in Three-Dimensional Microscopy Reconstruction, June 15, 2012, New York, New York, USA (Organizer)

## Available Software

SNARK09: A Programming System for the Reconstruction of 2D Images from 1D Projections

## Principal Investigator on Current Grant

Computational Methods for Inverting the Soft X-Ray Transform, National Science Foundation, DMS-1114901, 2011-2014

## Current Editorial Positions

Editorial Board, Computerized Medical Imaging and Graphics

Editorial Board, Journal of Visual Communication and Image Representation

## Scientific Affiliations

Head, Discrete Imaging and Graphics Group

Faculty Member, Institute for Macromolecular Assemblies

## Personal

Married to Marilyn Kirsch, an artist

The drowned man returns to the shore guided by a little fish

(Copyright 2004, Marilyn Kirsch)

## Brief Curriculum Vitae

### Education:

University of London, B.Sc.(Mathematics), 1963

University of London, M.Sc. (Mathematics), 1964

University of California at Berkeley, M.S. (Electrical Engineering), 1966

University of London, Ph.D. (Mathematics), 1968

### Faculty Appointments:

1966-67: Lecturer in Computer Science, Brighton College of Technology, England

1967-69: Instructor, IBM (UK) Ltd.

1969-70: Assistant Professor, Department of Computer Science, SUNY at Buffalo

1970-74: Associate Professor, Department of Computer Science, SUNY at Buffalo

1974-81: Professor, Department of Computer Science, SUNY at Buffalo

1981-00: Professor, Department of Radiology, University of Pennsylvania, Philadelphia

2000-01: Professor, Department of Computer and Information Sciences, Temple University, Philadelphia

2001- : Distinguished Professor, Department of Computer Science, The Graduate Center, CUNY, New York

### Honors:

1988: Erskine Fellow - University of Canterbury, New Zealand

1989: Honorary doctorate - Linköping University, Sweden

1989: Honorary member - American Society of Neuro-Imaging

1991: Fellow - Institute of Electrical and Electronics Engineers

1992: Editor-in-Chief, IEEE Transactions on Medical Imaging

1993: Fellow - British Computer Society

1996: Fellow - American Institute for Medical and Biological Engineering

1998: Honorary doctorate - József Attila University, Szeged, Hungary

2000: Honorary doctorate - University of Haifa, Israel

2001: Hewlett Packard Visiting Research Professor - Mathematical Sciences Research Institute, Berkeley, California

### Patent:

Agar, U., Bhachech, M., Herman, G.: Determining inverse functions of output devices having limited bit depth, U.S. Patent Number 7483171, 2009

### Articles that have been cited in the literature 100 or more times (as of June 9, 2012):

Gordon, R., Bender, R., Herman, G.T.: Algebraic reconstruction techniques (ART) for three-dimensional electron microscopy and x-ray photography, Journal of Theoretical Biology 29:471-482, 1970

Herman, G.T., Lent, A., Rowland, S.: ART: Mathematics and applications (a report on the mathematical foundations and on the applicability to real data of the algebraic reconstruction techniques), Journal of Theoretical Biology 42:1-32, 1973

Greenleaf, J.F., Johnson, S.A., Lee, S.L., Wood, E.H., Herman, G.T.: Algebraic reconstruction of spatial distributions of acoustic absorption within tissue from their two-dimensional acoustic projections, International Symposium on Acoustical Holography and Imaging 5:591-603, 1974

Gordon, R., Herman, G.T.: 3-dimensional reconstruction from projections: A review of algorithms, International Review of Cytology 38, Bourne, G.H. (ed.), Academic Press, 111-151, 1974

Gordon, R., Herman, G.T., Johnson, S.A.: Image reconstruction from projections, Scientific American 233(4):56-68, 1975

Herman, G.T., Lent, A.: Iterative reconstruction algorithms, Computers in Biology and Medicine 6:273-294, 1976

Herman, G.T., Liu, H.K.: Display of three-dimensional information in computed tomography, Journal of Computer Assisted Tomography 1:155-160, 1977

Herman, G.T., Naparstek, A.: Fast image reconstruction based on a Radon inversion formula appropriate for rapidly collected data, SIAM Journal on Applied Mathematics 33:511-533, 1977

Herman, G.T.: Correction for beam hardening in computed tomography, Physics in Medicine and Biology 24:81-106, 1979

Herman, G.T., Liu, H.K.: Three-dimensional display of human organs from computed tomograms, Computer Graphics and Image Processing 9:1-21, 1979

Artzy, E., Frieder, G., Herman, G.T.: The theory, design, implementation and evaluation of a three-dimensional surface detection algorithm, Computer Graphics and Image Processing 15:1-24, 1981

Eggermont, P.P.B., Herman, G.T., Lent, A.: Iterative algorithms for large partitioned linear systems, with applications to image reconstruction, Linear Algebra and Its Applications 40:37-67, 1981

Udupa, J.K., Srihari, S.N., Herman, G.T.: Boundary detection in multidimensions, IEEE Transactions on Pattern Analysis and Machine Intelligence 4:41-50, 1982

Hemmy, D.C., David, D.J., Herman, G.T.: Three-dimensional reconstruction of craniofacial deformity using computed tomography, Neurosurgery 13:534-541, 1983

Chen, L.S., Herman, G.T., Reynolds, R.A., Udupa, J.K.: Surface shading in the cuberille environment, IEEE Computer Graphics and Applications 5(12):33-43, 1985 (Erratum appeared in 6(2):67-69, 1986)

Raichlen, J.S., Trivedi, S.S., Herman, G.T., St. John Sutton, M.G., Reichek, N.: Dynamic three-dimensional reconstruction of the left ventricle from two-dimensional echocardiograms, Journal of the American College of Cardiology 8:364-370, 1986

Levitan, E., Herman, G.T.: A maximum a posteriori probability expectation maximization algorithm for image reconstruction in emission tomography, IEEE Transactions on Medical Imaging MI-6:185-192, 1987

Gur, R.C., Mozley, P.D., Resnick, S.M., Gottlieb, G.E., Kohn, M., Zimmerman, R., Herman, G., Atlas, S., Grossman, R., Berretta, D., Erwin, R., Gur, R.E.: Gender differences in age effect on brain atrophy measured by magnetic resonance imaging, Proceedings of the National Academy of Sciences 88:2845-2849, 1991

Kohn, M.I., Tanna, N.K., Herman, G.T., Resnick, S.M., Mozley, P.D., Gur, R.E., Alavi, A., Zimmerman, R.A., Gur, R.C.: Analysis of brain and cerebrospinal fluid volumes with MR imaging. Part 1: Methods, reliability, and validation, Radiology 178:115-122, 1991

Gur, R.E., Mozley, P.D., Resnick, S.M., Shtasel, D., Kohn, M., Zimmerman, R., Herman, G., Atlas, S., Grossman, R., Erwin, R., Gur, R.C.: Magnetic resonance imaging in schizophrenia: I. Volumetric analysis of brain and cerebrospinal fluid, Archives of General Psychiatry 48:407-412, 1991

Herman, G.T., Zheng, J., Bucholtz, C.A.: Shape-based interpolation, IEEE Computer Graphics and Applications 12(3):69-79, 1992

Levkowitz, H., Herman, G.T.: Color scales for image data, IEEE Computer Graphics and Applications 12(1):72-80, 1992

Levkowitz, H., Herman, G.T.: GLHS: A generalized lightness, hue, and saturation color model, CVPIG: Graphical Models and Image Processing 55:271-285, 1993

Herman, G.T., Meyer, L.B.: Algebraic reconstruction techniques can be made computationally efficient, IEEE Transactions on Medical Imaging 12:600-609, 1993

Marabini, R., Herman, G.T., Carazo, J.-M.: 3D reconstruction in electron microscopy using ART with smooth spherically symmetric volume elements (blobs), Ultramicroscopy 72:53-65, 1998

Scheres, S.H.W., Gao, H., Valle, M., Herman, G.T., Eggermont, P.P.B., Frank, J., Carazo, J.-M.: Disentangling conformational states of macromolecules in 3D-EM through likelihood optimization, Nature Methods 4:27-29, 2007

### Articles that have been cited in the literature 20 or more times but less than 100 times (as of June 9, 2012):

Herman, G.T.: Computing ability of a developmental model for filamentous organisms, Journal of Theoretical Biology 25:421-435, 1969

Herman, G.T.: The uniform halting problem for generalized one-state Turing machines, Information and Control 15:353-367, 1969

Baker, R.W., Herman, G.T.: CELIA - a cellular linear iterative array simulator, Proceedings of the Fourth Annual Conference on Applications of Simulation, Winter Simulation Conference, 64-73, 1970

Herman, G.T.: Role of environment in developmental models, Journal of Theoretical Biology 29:329-341, 1970

Frieder, G., Herman, G.T.: Resolution in reconstructing objects from electron micrographs, Journal of Theoretical Biology 33:189-211, 1971

Herman, G.T., Rowland S.: Resolution in ART: An experimental investigation of the resolving power of an algebraic picture reconstruction technique, Journal of Theoretical Biology 33:213-223, 1971

Gordon, R., Herman, G.T.: Reconstruction of pictures from their projections, Communications of the Association for Computing Machinery 14:759-768, 1971

Herman, G.T.: Models for cellular interactions in development without polarity of individual cells I. General description and the problem of universal computing ability, International Journal of Systems Science 2:271-289, 1971

Gaarder, N.T. Herman, G.T.: Algorithms for reproducing objects from their X-rays, Computer Graphics and Image Processing 1:97-106, 1972

Herman, G.T.: Two direct methods for reconstructing pictures from their projections: A comparative study, Computer Graphics and Image Processing 1:123-144, 1972

Baker, R.W., Herman, G.T.: Simulation of organisms using a developmental model: 1. Basic description, International Journal of Biomedical Computing 3:201-215, 1972

Herman, G.T.: Models for cellular interactions in development without polarity of individual cells II. Problems of synchronization and regulation, International Journal of Systems Science 3:149-175, 1972

Herman, G.T., Rowland, S.: Three methods for reconstructing objects from x-rays: A comparative study, Computer Graphics and Image Processing 2:151-178, 1973

Herman, G.T.: A biologically motivated extension of ALGOL-like languages, Information and Control 22:487-502, 1973

Herman, G.T., Lee, K.P., van Leeuwen, J., Rozenberg, G.: Characterization of unary developmental languages, Discrete Mathematics 6:235-247, 1973

Herman, G.T., Liu, W.H.: The daughter of Celia, the French flag, and the firing squad: (Progress report on a cellular linear iterative-array simukator), Simulation 21:33-41, 1973

Robb, R.A., Greenleaf, J.F., Ritman, E.L., Johnson, S.A., Sjostrand, J.D., Herman, G.T., Wood, E.H.: Three-dimensional visualization of the intact thorax and contents: A technique for cross-sectional reconstruction from multiplanar x-ray views, Computers and Biomedical Research 7:395-419, 1974

Johnson, S.A., Robb, R.A., Greenleaf, J.F., Ritman, E.L., Lee, S.L., Herman, G.T., Wood, E.H.: The problem of accurate measurement of left ventricular shape and dimensions from multiplane roentgenographic data, European Journal of Cardiology 1:241-258, 1974

Herman, G.T.: Closure properties of some families of languages associated with biological systems, Information and Control 24:101-121, 1974

Herman, G.T., Lindenmayer, A., Rozenberg, G.: Description of developmental languages using recurrence systems, Mathematical Systems Theory 8:316-341, 1974

Herman, G.T., Liu, W.H., Rowland, S., Walker, A.: Synchronization of growing cellular arrays, Information and Control 25:103-122, 1974

Herman, G.T., Lindenmayer, A., Rozenberg, G.: Description of developmental languages using recurrence systems, Mathematical Systems Theory 8:316-341, 1974

Herman, G.T.: Reconstruction of binary patterns from a few projections, International Computing Symposium 1973, Günther, A., Levrat, B., Lipps, H. (eds.), Noth-Holland Publ. Co., 371-378, 1974

Herman, G.T.: A relaxation method for reconstructing objects from noisy x-rays, Mathematical Programming 8:1-19, 1975

Herman, G.T., Walker, A.: Context-free languages in biological systems, International Journal of Computer Mathematics 4:369-391, 1975

Herman, G.T., Lakshminarayanan, A.V., Rowland, S.W.: The reconstruction of objects from shadowgraphs with high contrasts, Pattern Recognition 7:157-165, 1975

Herman, G.T., Lakshminarayanan, A.V., Naparstek, A.: Convolution reconstruction techniques for divergent beams, Computers in Biology and Medicine 6:259-271, 1976

Herman, G.T., Lent, A.: A computer implementation of a Bayesian analysis of image reconstruction, Information and Control 31:364-384, 1976

Herman, G.T., Lent, A.: Quadratic optimization for image reconstruction, I, Computer Graphics and Image Processing 5:319-332, 1976

Herman, G.T., Lakshminarayanan, A.V., Naparstek, A., Ritman, E.L., Robb, R.A., Wood, E.H.: Rapid computerized tomography, Medical Data Processing, Laudet, M., Anderson, J., Begon, F. (eds.), Taylor and Francis Ltd., 581-598, 1976

Herman, G.T., Lent, A., Lutz, P.H.: Relaxation methods for image reconstruction, Communications of the Association for Computing Machinery 21:152-158, 1978

Herman, G.T., Liu, H.K.: Dynamic boundary surface detection, Computer Graphics and Image Processing 7:130-138, 1978

Herman, G.T., Lent, A.: A family of iterative quadratic optimization algorithms for pairs of inequalities, with applications in diagnostic radiology, Mathematical Programming Study 9:15-29, 1978

Herman, G.T., Hurwitz, H., Lent, A., Lung, H.P.: On the Bayesian approach to image reconstruction, Information and Control 42:60-71, 1979

Artzy, E., Elfving, T., Herman, G.T.: Quadratic optimization for image reconstruction, II, Computer Graphics and Image Processing 11:242-261, 1979

Herman, G.T., Rowland, S., Yau, M., A comparative study of the use of linear and modified cubic spline interpolation for image reconstruction, IEEE Transactions on Nuclear Science 26:2879-2894, 1979

Herman, G.T.: Demonstration of beam hardening correction in computed-tomography of the head, Journal of Computer Assisted Tomography 3:373-378, 1979

Herman, G.T., Coin, C.G.: The use of three-dimensional computer display in the study of disk disease, Journal of Computer Assisted Tomography 4:564-567, 1980

Herman, G.T., Lent, A., Hurwitz, H.: A storage-efficient algorithm for finding the regularized solution of a large, inconsistent system of equations, IMA Journal of Applied Mathematics 25:361-366, 1980

Altschuler, M.D., Censor, Y., Eggermont, P.P.B., Herman, G.T., Kuo, Y.H., Lewitt, R.M., McKay, M., Tuy, H.K., Udupa, J.K., Yau, M.M.: Demonstration of a software package for the reconstruction of the dynamically changing structure of the human heart from cone-beam x-ray projections, Journal of Medical Systems 4:289-304, 1980

Chang, T., Herman, G.T.: A scientific study of filter selectionfor a fan-beam convolution reconstruction algorithm, SIAM Journal on Applied Mathematics 39:83-105, 1980

Herman, G.T., Lewitt, R.M.: Evaluation of a preprocessing algorithm for truncated CT projections, Journal of Computer Assisted Tomography 5:127-135, 1981

Herman, G.T., Webster, D.: Surfaces of organs in discrete three-dimensional space, Mathematical Aspects of Computerized Tomography, Herman, G.T., Natterer, F. (eds.), Springer-Verlag, Berlin, Germany, 204-224, 1981

Herman, G.T., Udupa, J.K.: Display of three-dimensional discrete surfaces, Proceedings of the Society of Photo-Optical Instrumentation Engineers 283:90-97, 1981

Herman, G.T., Reynolds, R.A., Udupa, J.K.: Computer techniques for the representation of three-dimensional data on a two-dimensional display, Proceedings of the Society of Photo-Optical Instrumentation Engineers 367:3-14, 1982

Herman, G.T., Udupa, J.K., Kramer, D.M., Lauterbur, P.C., Rudin, A.M., Schneider, J.M.: The three-dimensional display of nuclear magnetic resonance images, Optical Engineering 21:923-926, 1982

Axel, L., Herman, G.T., Udupa, J.K., Bottomley, P.A., Edelstein, W.A.: Three-dimensional display of nuclear magnetic resonance (NMR) cardiovascular images, Journal of Computer Assisted Tomography 7:172-174, 1983

Herman, G.T., Webster, D.: A topological proof of a surface tracking algorithm, Computer Vision, Graphics, and Image Processing 23:162-177, 1983

Herman, G.T., Trivedi, S.S.: A comparative study of two postreconstruction beam hardening correction methods, IEEE Transactions on Medical Imaging 2:128-135, 1983

Herman, G.T., Udupa, J.K.: Display of 3-D digital images: Computational foundations and medical applications, IEEE Computer Graphics and Applications 3(5):39-46, 1983

Chen, L.S., Herman, G.T., Meyer, C.R., Reynolds, R.A., Udupa, J.K.: 3D83: An easy-to-use software package for three-dimensional display from computed tomograms, Proceedings of the IEEE Computer Society Joint International Sympostum on Medical Images and 1cons, IEEE Computer Society Press, 309-316, 1984

Frieder, G., Herman, G.T., Meyer, C., Udupa, J.: Large software problems for small computers: An example from medical imaging, IEEE Software 2(5):37-47, 1985

Herman, G.T., Vose, W.F., Gomori, J.M, Gefter, W.B: Stereoscopic computed three-dimensional surface displays, RadioGraphics 5:825-852, 1985

Censor, Y., Elfving, T., Herman, G.T.: A method of iterative data refinement and its applications, Mathematical Methods in the Applied Sciences 7:108-123, 1985

Burk, Jr. D.L., Mears, D.C., Cooperstein, L.A., Herman, G.T., Udupa, J.K.: Acetabular fractures: Three-dimensional computed tomographic imaging and interactive surgical planning, Journal of Computed Tomography 10:1-10, 1986

DeMarino, D.P., Steiner, E., Poster, R. Katzberg, R.W., Hengerer, A.S., Herman, G.T., Wayne, W.S., Prosser, D.C.: Three-dimensional computed tomography in maxillofacial trauma, Archives of Otolaryngology - Head and Neck Surgery 112:146-150, 1986

Censor, Y., Herman, G.T.: On some optimization techniques in image reconstruction from projections, Applied Numerical Mathematics 3:365-391, 1987

Edholm, P.R., Herman, G.T.: Linograms in image reconstruction from projections, IEEE Transactions on Medical Imaging 6:301-307, 1987

Herman, G.T.: Three-dimensional imaging on a CT or MR scanner, Journal of Computer Assisted Tomography 12:450-458, 1988

Edholm, P.R., Herman, G.T., Roberts, D.A.: Image reconstruction from linograms - Implementation and evaluation, IEEE Transactions on Medical Imaging 7:239-246, 1988

Herman, G.T., Yeung, K.T.D.: Evaluators of image reconstruction algorithms, International Journal of Imaging Systems and Technology 1:187-195, 1989

Toennies, K.D., Udupa, J.K., Herman, G.T., Wornom, I.L., Buchman, S.R.: Registration of three dimensional objects and surfaces, IEEE Computer Graphics and Applications 10(3):52-62, 1990

Herman, G.T.: On topology as applied to image analysis, Computer Vision, Graphics, and Image Processing 52: 409-415, 1990

Censor, Y., De Pierro, A.N., Elfving, T., Herman, G.T., Iusem, A.N.: On iterative methods for linearly constrained entropy maximization, Numerical Analysis and Mathematical Modelling, Waculicz, A. (ed.), Banach Center, Warsaw, 145–163, 1990

Herman, G.T., Odhner, D., Toennies, K.D., Zenios, S.A.: A parallelized algorithm for image reconstruction from noisy projections, Large Scale Numerical Optimization, Coleman, T.F., Li Y.F. (eds.), Society of Industrial and Applied Mathematics, Philadelphia, 3-21, 1990

Herman, G.T., Odhner, D.: Performance evaluation of an iterative image reconstruction algorithm for positron emission tomography, IEEE Transactions on Medical Imaging 10:336-346, 1991

Herman, G.T.: Discrete multidimensional Jordan surfaces, CVGIP: Graphical Models and Image Processing 54:507-515, 1992

Herman, G.T., De Pierro, A.R., Gai, N.: On methods for maximum a posteriori image reconstruction with a normal prior, Journal of Visual Communication and Image Representation 3:316-324, 1992

Herman, G.T., Yeung, K.T.D.: On piecewise-linear classification, IEEE Transactions on Pattern Analysis and Machine Intelligence 14:782-786, 1992

Herman, G.T.: Oriented surfaces in digital spaces, CVGIP: Graphical Models and Image Processing 55:381-396, 1993

Furuie, S.S., Herman, G.T., Narayan, T.K., Kinahan, P., Karp, J.S., Lewitt, R.M., Matej, S.: A methodology for testing statistically significant differences between fully 3-D PET reconstruction algorithms, Physics in Medicine and Biology 39:341-354, 1994

Matej, S., Herman, G.T., Narayan, T.K., Furuie, S.S., Lewitt, R.M., Kinahan, P.: Evaluation of task-oriented performance of several fully 3-D PET reconstruction algorithms, Physics in Medicine and Biology 39:355-367, 1994

Mozley, P.D., Gur, R.E., Resnick, S.M., Stasel, D.L., Richards, J., Kohn, M., Grossman, R., Herman, G., Gur, R.C.: Magnetic resonance imaging in schizophrenia - Relationship with clinical measures, Schizophrenia Research 12:195-203, 1994

Kinahan, P.E., Matej, S., Karp, J.S., Herman, G.T., Lewitt, R.M.: A comparison of transform and iterative reconstruction techniques for a volume-imaging PET scanner with a large axial acceptance angle, IEEE Transactions on Nuclear Science 42:2281-2287, 1995

Levitan, E., Chan, M., Herman, G.T.: Image-modeling Gibbs priors, Graphical Models and Image Proceassing, 57:117-130, 1995

Matej, S., Furuie, S.S., Herman, G.T.: Relevance of statistically significant differences between reconstruction algorithms, IEEE Transactions on Image Processing 5:554-556, 1996

Browne, J.A., Herman, G.T.: Computerized evaluation of image reconstruction algorithms, International Journal of Imaging Systems and Technology, 7:256-267, 1996

Marabini, R., Rietzel, E., Schroeder, R., Herman, G.T., Carazo, J.M.: Three-dimensional reconstruction from reduced sets of very noisy images acquired following a single-axis tilt schema: Application of a new three-dimensional reconstruction algorithm and objective comparison with weighted backprojection, Journal of Structural Biology 120:363-371, 1997

Aharoni, R., Herman, G.T., Kuba, A.: Binary vectors partially determined by linear equation systems. Discrete Mathematics 171:1-16, 1997

Chan, M.T., Herman, G.T., Levitan, E.: Bayesian image reconstruction using image-modeling Gibbs priors, International Journal of Imaging Systems and Technology 9:85-98, 1998

Herman, G.T.: Algebraic reconstruction techniques in medical imaging, Medical Imaging Systems Techniques and Applications, Computational Techniques, Leondes, C.T. (ed.), CRC Press, 1-42, 1998

Matej, S., Herman, G.T., Vardi, A.: Binary tomography on the hexagonal grid using Gibbs priors, International Journal of Imaging Systems and Technology 9:126-131, 1998

Maki, D.D., Birnbaum, B.A., Chakraborty, D.P., Jacobs, J.E., Carvalho, B.M., Herman, G.T.: Renal cyst pseudo-enhancement: Beam hardening effects on CT numbers, Radiology 213:468-472, 1999

Kuba, A., Herman, G.T.: Discrete tomography: A historical overview, Discrete Tomography: Foundations, Algorithms, and Applications, Herman, G.T., Kuba, A. (eds.), Birkhäuser Boston, 3-34, 1999

Matej, S., Vardi, A., Herman, G.T., Vardi, E.: Binary tomography using Gibbs priors, Discrete Tomography: Foundations, Algorithms, and Applications, Herman, G.T., Kuba, A. (eds.), Birkhäuser Boston, 191-212, 1999

Carvalho, B.M, Gau, C.J., Herman, G.T., Kong, T.Y.: Algorithms for fuzzy segmentation, Pattern Analysis and Applications 2:73-81, 1999

Obi, T., Matej, S., Lewitt, R.M., Herman, G.T.: 2.5-D simultaneous multislice reconstruction by series expansion methods from Fourier-rebinned PET data, IEEE Transactions on Medical Imaging 19:474-484, 2000

Herman, G.T., Carvalho, B.M.: Multiseeded segmentation using fuzzy connectedness, IEEE Transactions on Pattern Analysis and Machine Intelligence 23:460-474, 2001

Sorzano, C.O.S., Marabini, R., Boisset, N., Rietzel, E., Schroeder, R., Herman, G.T., Carazo, J.M.: The effect of overabundant projection directions on 3D reconstruction algorithms, Journal of Structural Biology 133:108-118, 2001

Vardi, E., Herman, G.T., Kong, T.Y.: Speeding up stochastic reconstructions of binary images from limited projection directions, Linear Algebra and Its Applications 339:75-89, 2001

Censor, Y., Elfving, T., Herman, G.T.: Averaging strings of sequential iterations for convex feasibility problems, Inherently Parallel Algorithms in Feasibility and Optimization and Their Applications, Butnariu, D., Censor, Y., S. Reich, S. (Eds.), Elsevier Science Publishers, 101-113, 2001

Herman, G.T., Kuba, A.: Discrete tomography in medical imaging, Proceedings of the IEEE 91:1612-1626, 2003

Marabini, R., Sorzano, C.O.S., Matej, S., Fernández, J.J., Carazo, J.M., Herman, G.T.: 3D reconstruction of 2D crystals in real space, IEEE Transactions on Image Processing 13:549-561, 2004

Scheres, S.H.W., Valle, M., Nuñez, R., Sorzano, C.O.S., Marabini, R., Herman, G.T., Carazo, J.-M.: Maximum-likelihood multi-reference refinement for electron microscopy images, Journal of Molecular Biology 348:139-149, 2005

Carvalho, B.M., Herman, G.T., Kong, T.Y.: Simultaneous fuzzy segmentation of multiple objects, Discrete Applied Mathematics 151:55-77, 2005

Alpers, A., Poulsen, H.F., Knudsen, E., Herman, G.T.: A discrete tomography algorithm for improving the quality of three-dimensional X-ray diffraction grain maps, Journal of Applied Crystallography 39:582-588, 2006

Butnariu, D., Davidi, R., Herman, G.T., Kazantsev, I.G.: Stable convergence behavior under summable perturbations of a class of projection methods for convex feasibility and optimization problems, IEEE Journal of Selected Topics in Signal Processing 1:540-547, 2007

Herman, G.T., Davidi, R.: Image reconstruction from a small number of projections, Inverse Problems 24:045011, 2008

Censor, Y., Elfving, T., Herman, G.T., Nikazad, T.: On diagonally-relaxed orthogonal projection methods, SIAM Journal on Scientific Computing 30:473-504, 2008

### Other archival publications (since 2002):

Udupa, J.K., Herman, G.T.: Medical image reconstruction, processing, visualization and analysis: The MIPG perspective, IEEE Transactions on Medical Imaging 21:281-295, 2002

Censor, Y., Herman, G.T.: Block-iterative algorithms with underrelaxed Bregman projections, SIAM Journal on Optimization 13:283-297, 2002

Zubelli, J.P., Marabini, R., Sorzano, C.O.S., Herman, G.T.: Three-Dimensional reconstruction by Chahine's method from electron microscopic projections corrupted by instrumental aberration, Inverse Problems 19:933-949, 2003

Sorzano, C.O.S., Marabini, R., Herman, G.T., Censor, Y., Carazo, J.M.: Transfer function restoration in 3D electron microscopy via iterative data refinement, Physics in Medicine and Biology 49:509-522, 2004

Fourey, S., Kong, T.Y., Herman, G.T.: Generic axiomatized digital surface structures, Discrete Applied Mathematics 139:65-93, 2004

Garduño, E., Herman, G.T.: Optimization of basis functions for both reconstruction and visualization, Discrete Applied Mathematics 139:95-111, 2004

Liao, H.Y., Herman, G.T.: Automated estimation of Gibbs priors to be used in binary tomography, Discrete Applied Mathematics 139:149-170, 2004

Liao, H.Y., Herman, G.T.: Discrete tomography with a very few views, using Gibbs priors and a Marginal Posterior Mode approach, Electronic Notes in Discrete Mathematics 20:399-418, 2005

Alpers, A., Knudsen, E., Poulsen, H.F., Herman, G.T.: Resolving ambiguities in reconstructed grain maps using discrete tomography, Electronic Notes in Discrete Mathematics 20:419-437, 2005

Rodek, L., Knudsen, E., Poulsen, H.F., Herman, G.T.: Discrete tomographic reconstruction of 2D polycrystal orientation maps from X-ray diffraction projections using Gibbs priors, Electronic Notes in Discrete Mathematics 20:439-453, 2005

Liao, H.Y., Herman, G.T.: A coordinate ascent approach to tomographic reconstruction of label images from a few projections, Discrete Applied Mathematics 151:184-197, 2005

Sorzano, C.O.S., Marabini, R., Herman, G.T., Carazo, J.-M.: Multiobjective algorithm parameter optimization using multivariate statistics in three-dimensional electron microscopy reconstruction, Pattern Recognition 38:2587-2601, 2005

Garduño, E., Herman, G.T.: Implicit surface visualization of reconstructed biological molecules, Theoretical Computer Science 346:281-299, 2005

Liao, H.Y., Herman, G.T.: A method for reconstructing label images from a few projections, as motivated by electron microscopy, Annals of Operations Research 148:117-132, 2006

Fu, X., Knudsen, E., Poulsen, H.F., Herman, G.T., Carvalho, B.M., Liao, H.Y.: Optimized algebraic reconstruction technique for generation of grain maps based on three-dimensional X-ray diffraction (3DXRD), Optical Engineering 45:116501, 2006

Carvalho, B.M., Herman, G.T.: Low-dose, large-angled cone-beam helical CT data reconstruction using algebraic reconstruction techniques, Image and Vision Computing 25:78-94, 2007

Rodek, L., Poulsen, H.F., Knudsen, E., Herman, G.T.: A stochastic algorithm for reconstruction of grain maps of moderately deformed specimens based on X-ray diffraction, Journal of Applied Crystallography 40:313-321, 2007

Herman, G.T.: Boundaries in digital spaces, Applied General Topology 8:93-149, 2007

Sorzano, C.O.S., Velázquez-Muriel, J.A., Marabini, R., Herman, G.T., Carazo, J.M.: Volumetric restrictions in single particle 3DEM reconstruction, Pattern Recognition 41:616-626, 2008

Herman, G.T., Chen, W.: A fast algorithm for solving a linear feasibility problem with application to intensity-modulated radiation therapy, Linear Algebra and Its Applications 428:1207-1217, 2008

Herman, G.T., Kalinowski, M.: Classification of heterogeneous electron microscopic projections into homogeneous subsets, Ultramicroscopy 108:327-338, 2008

Garduño, E., Herman, G.T.: Parallel fuzzy segmentation of multiple objects, International Journal of Imaging Systems and Technology 18:336-344, 2008

Herman, G.T.: A note on exact image reconstruction from a limited number of projections, Journal of Visual Communication and Image Representation 20:65-67, 2009

Kulshreshth, A.K., Alpers, A., Herman, G.T., Knudsen, E., Rodek, L., Poulsen, H.F.: A greedy method for reconstructing polycrystals from three-dimensional x-ray diffraction data, Inverse Problems and Imaging 3:69-85, 2009

Davidi, R., Herman, G.T., Censor, Y.: Perturbation-resilient block-iterative projection methods with applications to image reconstruction from projections, International Transactions in Operational Research 16:505-524, 2009

Censor, Y., Herman, G.T., Jiang, M.: A note on the behavior of the randomized Kaczmarz algorithm of Strohmer and Vershynin, Journal of Fourier Analysis and Applications 15:431-436, 2009

Chen, W., Herman, G.T.: Efficient controls for finitely convergent sequential algorithms, ACM Transactions on Mathematical Software 37:14, 2010

Kazantsev, I.G., Klukowska, J., Herman, G.T, Cernetic, L.: Fully three-dimensional defocus-gradient corrected backprojection in cryoelectron microscopy, Ultramicroscopy 110:1128-1142, 2010

Censor, Y., Davidi, R., Herman, G.T.: Perturbation resilience and superiorization of iterative algorithms, Inverse Problems 26:065008, 2010

Alpers, A., Herman, G.T., Poulsen, H.F., Schmidt, S.: Phase retrieval for superposed signals from multiple binary objects, Journal of the Optical Society of America A 27:1927-1937, 2010

Chen, W., Craft, D., Madden, T.M., Zhang, K., Kooy, H.M., Herman, G.T.: A fast optimization algorithm for multi-criteria intensity modulated proton therapy planning, Medical Physics 37:4938-4945, 2010

Garduño, E., Davidi, R., Herman, G.T.: Reconstruction from a few projections by ℓ_{1}-minimization of the Haar transform, Inverse Problems 27:055006, 2011

Nikazad, T., Davidi, R., Herman, G.T.: Accelerated perturbation-resilient block-iterative projection methods with application to image reconstruction, Inverse Problems 28:035005, 2012

Censor, Y., Chen, W., Combettes, P.L., Davidi, R., Herman, G.T.: On the effectiveness of projection methods for convex feasibility problems with linear inequality constraints, Computational Optimization and Applications 51:1065-1088, 2012

Herman, G.T., Kong, T.Y., Oliviera, L.: Tree representation of digital picture embeddings, Journal of Visual Communication and Image Representation 23:883-891, 2012