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## Herman, Gabor T.

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 Author ID: herman.gabor-t Published as: Herman, G. T.; Herman, Gabor; Herman, Gabor T.
 Documents Indexed: 138 Publications since 1968, including 11 Books Reviewing Activity: 6 Reviews
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#### Co-Authors

 32 single-authored 15 Censor, Yair 9 Kong, Tat Yung 8 Kuba, Attila 7 Davidi, Ran 7 Lent, Arnold 7 Liao, Hstau Y. 6 Garduño, Edgar 5 Elfving, Tommy 4 Carvalho, Bruno M. 4 Knudsen, Erik Woodward 4 Marabini, Roberto 4 Matej, Samuel 4 Poulsen, Henning Friis 4 Zibetti, Marcelo V. W. 3 Alpers, Andreas 3 Carazo, Jose-Maria 3 Fourey, Sébastien 3 Lin, Chuan 3 Odhner, Dewey 3 Rodek, Lajos 3 Rozenberg, Grzegorz 3 Vardi, Eilat 3 Walker, Adrian 2 Chan, Michael T. 2 García, Inmaculada F. 2 Hurwitz, Henry jun. 2 Isard, Stephen D. 2 Jiang, Ming 2 Levitan, Emanuel 2 Lutz, Peter H. 2 Natterer, Frank 2 Nikazad, Touraj 2 Sorzano, Carlos Oscar Sánchez 2 Webster, Dallas E. 1 Aharoni, Ron 1 Aitchison, Peter W. 1 Axel, Leon 1 Bedian, Vahe 1 Casado, Leocadio G. 1 Chang, Tao 1 Chen, Wei 1 Chen, Wei 1 Chen, Wei 1 Ciesielski, Krzysztof Chris 1 Combettes, Patrick L. 1 Daurat, Alain 1 de Pierro, Alvaro Rodolfo 1 Del Lungo, Alberto 1 Eggermont, Paul P. B. 1 Feliciangeli, Horacio 1 Frank, Joachim 1 Gallaire, Hervé 1 Gordon, Richard K. 1 Gray, James Nicholas 1 Gronchi, Paolo 1 Harrison, Michael A. 1 Helou, Elias Salomão 1 Iusem, Alfredo Noel 1 Jackowski, Janice A. 1 Kalinowski, Miroslaw 1 Klukowska, Joanna 1 Kulshreshth, Arun K. 1 Lee, Kwok Ping 1 Lent, A. H. 1 Lewitt, Robert M. 1 Lindenmayer, Aristid 1 Liu, Wu-Hung 1 Louis, Alfred Karl 1 Lung, Hsi-Ping 1 Maritz, Milton F. 1 Naparstek, Abraham 1 Narayan, T. K. 1 Oliveira, Lucas M. 1 Ortigosa, Pilar M. 1 Otón, Joaquin 1 Pajoohesh, Homeira 1 Regatte, Ravinder R. 1 Rowland, Stuart 1 Schulte, Reinhard W. 1 Tetruashvili, Luba 1 Tobias Block, Kai 1 Todd-Pokropek, Andrew 1 Tönnies, Klaus-Dietz 1 Tuy, Heang K. 1 Van Leeuwen, Jan 1 Vardi, Avi 1 Velázquez-Muriel, J. A. 1 Vitányi, Paul M. B. 1 Walker, A. D. 1 Yee, Conway 1 Yeung, K. T. Daniel 1 Yung Kong, T. 1 Zenios, Stavros Andrea 1 Zubelli, Jorge P.
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#### Serials

 12 Inverse Problems 6 Information and Control 5 Discrete Applied Mathematics 4 Linear Algebra and its Applications 4 Applied and Numerical Harmonic Analysis 3 Discrete Mathematics 3 Journal of Computer and System Sciences 3 Zeitschrift für Mathematische Logik und Grundlagen der Mathematik 3 SIAM Journal on Applied Mathematics 2 International Journal of Systems Science 2 Acta Cybernetica 2 The Journal of Symbolic Logic 2 Mathematical Systems Theory 2 Theoretical Computer Science 2 Annals of Operations Research 2 Communications of the ACM 1 American Mathematical Monthly 1 Information Processing Letters 1 Journal of the Institute of Mathematics and its Applications 1 Mathematical Methods in the Applied Sciences 1 ACM Transactions on Mathematical Software 1 Journal of the London Mathematical Society. Second Series 1 Journal of Optimization Theory and Applications 1 Mathematical Programming Study 1 Mathematical Programming 1 Mathematika 1 Proceedings of the American Mathematical Society 1 Applied Numerical Mathematics 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 Pattern Recognition 1 Computer Vision, Graphics, and Image Processing 1 SIAM Journal on Optimization 1 Journal of Mathematical Imaging and Vision 1 Computational Optimization and Applications 1 SIAM Journal on Scientific Computing 1 The Journal of Fourier Analysis and Applications 1 International Transactions in Operational Research 1 Applied General Topology 1 Lecture Notes in Mathematics 1 Lecture Notes in Medical Informatics 1 Machine Intelligence 1 Electronic Notes in Theoretical Computer Science 1 Inverse Problems and Imaging 1 Electronic Notes in Discrete Mathematics
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#### Fields

 72 Computer science (68-XX) 52 Biology and other natural sciences (92-XX) 48 Numerical analysis (65-XX) 23 Operations research, mathematical programming (90-XX) 23 Information and communication theory, circuits (94-XX) 16 Integral transforms, operational calculus (44-XX) 10 General and overarching topics; collections (00-XX) 8 Statistics (62-XX) 6 Mathematical logic and foundations (03-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 3 Partial differential equations (35-XX) 3 Optics, electromagnetic theory (78-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Combinatorics (05-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 General topology (54-XX) 2 Manifolds and cell complexes (57-XX) 1 History and biography (01-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of deformable solids (74-XX)

#### Citations contained in zbMATH

95 Publications have been cited 1,398 times in 855 Documents Cited by Year
Image reconstruction from projections. The fundamentals of computerized tomography. Zbl 0538.92005
Herman, Gabor T.
1980
Developmental systems and languages. With a contribution by Aristid Lindenmayer. Zbl 0306.68045
Herman, Gabor T.; Rozenberg, Grzegorz
1975
Discrete tomography. Foundations, algorithms, and applications. Zbl 0946.00014
Herman, Gabor T. (ed.); Kuba, Attila (ed.)
1999
Fundamentals of computerized tomography. Image reconstruction from projections. 2nd ed. Zbl 1280.92002
Herman, Gabor T.
2009
Description of developmental languages using recurrence systems. Zbl 0313.68068
Herman, G. T.; Lindenmayer, A.; Rozenberg, G.
1975
Iterative algorithms for large partitioned linear systems, with applications to image reconstruction. Zbl 0466.65021
Eggermont, P. P. B.; Herman, G. T.; Lent, A.
1981
On the effectiveness of projection methods for convex feasibility problems with linear inequality constraints. Zbl 1244.90155
Censor, Yair; Chen, Wei; Combettes, Patrick L.; Davidi, Ran; Herman, Gabor T.
2012
Perturbation resilience and superiorization of iterative algorithms. Zbl 1193.65019
Censor, Y.; Davidi, R.; Herman, G. T.
2010
Advances in discrete tomography and its applications. Some papers based on the presentations at the workshop on discrete tomography and its applications, New York, NY, USA, June 13–15, 2005. Zbl 1117.65004
Herman, Gabor T. (ed.); Kuba, Attila (ed.)
2007
On diagonally relaxed orthogonal projection methods. Zbl 1159.65317
Censor, Yair; Elfving, Tommy; Herman, Gabor T.; Nikazad, Touraj
2008
Image reconstruction from a small number of projections. Zbl 1161.68825
Herman, G. T.; Davidi, R.
2008
Discrete tomography: A historical overview. Zbl 0959.92014
Kuba, Attila; Herman, Gabor T.
1999
Geometry of digital spaces. Zbl 0902.65102
Herman, Gabor T.
1998
Perturbation-resilient block-iterative projection methods with application to image reconstruction from projections. Zbl 1191.94013
Davidi, R.; Herman, G. T.; Censor, Y.
2009
Averaging strings of sequential iterations for convex feasibility problems. Zbl 1160.65320
Censor, Y.; Elfving, T.; Herman, G. T.
2001
A relaxation method for reconstructing objects from noisy X-rays. Zbl 0298.65028
Herman, G. T.
1975
Projected subgradient minimization versus superiorization. Zbl 1298.90104
Censor, Yair; Davidi, Ran; Herman, Gabor T.; Schulte, Reinhard W.; Tetruashvili, Luba
2014
Accelerated perturbation-resilient block-iterative projection methods with application to image reconstruction. Zbl 1261.94014
Nikazad, T.; Davidi, R.; Herman, G. T.
2012
A family of iterative quadratic optimization algorithms for pairs of inequalities, with application in diagnostic radiology. Zbl 0389.90078
Herman, Gabor T.; Lent, Arnold
1978
On some optimization techniques in image reconstruction from projections. Zbl 0655.65140
Censor, Yair; Herman, Gabor T.
1987
Relaxation methods for image reconstruction. Zbl 0367.68065
Herman, Gabor T.; Lent, Arnold; Lutz, Peter H.
1978
Closure properties of some families of languages associated with biological systems. Zbl 0275.68018
Herman, Gabor T.
1974
Characterization of unary developmental languages. Zbl 0279.68062
Herman, G. T.; Lee, K. P.; van Leeuwen, J.; Rozenberg, G.
1973
Reconstruction o f pictures from their projections. Zbl 0225.68053
Gordon, Richard; Herman, Gabor T.
1971
On iterative methods for linearly constrained entropy maximization. Zbl 0718.65047
Censor, Yair; de Pierro, Alvaro R.; Elfving, Tommy; Herman, Gabor T.; Iusem, Alfredo N.
1990
Context free languages in biological systems. Zbl 0312.68039
1975
Models for cellular interactions in development without polarity of individual cells. II: Problems of synchronization and regulation. Zbl 0246.92006
Herman, Gabor T.
1972
A note on the behavior of the randomized Kaczmarz algorithm of Strohmer and Vershynin. Zbl 1177.68252
Censor, Yair; Herman, Gabor T.; Jiang, Ming
2009
Strong comutability and variants of the uniform halting problem. Zbl 0218.02033
Herman, G. T.
1971
Image reconstruction from projections: An approach from mathematical analysis. Zbl 0900.65376
Herman, G. T.; Tuy, H. K.
1987
A storage-efficient algorithm for finding the regularized solution of a large, inconsistent system of equations. Zbl 0441.65033
Herman, G. T.; Lent, A.; Hurwitz, H.
1980
Models for cellular interactions in development without polarity of individual cells. I: General description and the problem of universal computing ability. Zbl 0224.92007
Herman, Gabor T.
1971
A fast algorithm for solving a linear feasibility problem with application to intensity-modulated radiation therapy. Zbl 1195.92036
Herman, Gabor T.; Chen, Wei
2008
Binary vectors partially determined by linear equation systems. Zbl 0877.15004
Aharoni, R.; Herman, G. T.; Kuba, A.
1997
Mathematical optimization versus practical performance: A case study based on the maximum entropy criterion in image reconstruction. Zbl 0487.92002
Herman, Gabor T.
1982
Synchronization of growing cellular arrays. Zbl 0292.94040
Herman, Gabor T.; Liu, Wu-Hung; Rowland, Stuart; Walker, Adrian
1974
Block-iterative algorithms with underrelaxed Bregman projections. Zbl 1055.90059
Censor, Yair; Herman, Gabor T.
2002
Speeding up stochastic reconstructions of binary images from limited projection directions. Zbl 0990.65144
Vardi, Eilat; Herman, Gabor T.; Kong, T. Yung
2001
Reconstruction from a few projections by $$\ell _{1}$$-minimization of the Haar transform. Zbl 1219.94005
Garduño, E.; Herman, G. T.; Davidi, R.
2011
Simultaneous fuzzy segmentation of multiple objects. Zbl 1101.68922
Carvalho, Bruno M.; Herman, Gabor T.; Kong, T. Yung
2005
Automated estimation of the parameters of Gibbs priors to be used in binary tomography. Zbl 1072.68634
Liao, Hstau Y.; Herman, Gabor T.
2004
Algorithms for producing grammars from sample derivations: a common problem of formal language theory and developmental biology. Zbl 0252.68041
Feliciangeli, Horacio; Herman, Gabor T.
1973
Three-dimensional reconstruction by Chanine’s method from electron microscopic projections corrupted by instrumental aberrations. Zbl 1046.65112
Zubelli, J. P.; Marabini, R.; Sorzano, C. O. S.; Herman, G. T.
2003
Tomographic equivalence and switching operations. Zbl 0963.05027
Kong, T. Yung; Herman, Gabor T.
1999
The use of sparse matrices for image reconstruction from projections. Zbl 0407.65028
Herman, Gabor T.
1979
A biologically motivated extension of ALGOL-like languages. Zbl 0257.68009
Herman, Gabor T.
1973
Every finite sequential machine is linearly realizable. Zbl 0222.94056
Herman, G. T.
1971
Binary tomography using Gibbs priors. Zbl 0959.92015
Matej, Samuel; Vardi, Avi; Herman, Gabor T.; Vardi, Eilat
1999
A method of iterative data refinement and its applications. Zbl 0561.92002
Censor, Y.; Elfving, T.; Herman, G. T.
1985
Fast image reconstruction based on a Radon inversion formula appropriate for rapidly collected data. Zbl 0369.44003
Herman, Gabor T.; Naparstek, Abraham
1977
Growth functions associated with biological development. Zbl 0343.92002
Herman, Gabor T.; Vitanyi, Paul M. B.
1976
When is a sequential machine the realization of another? Zbl 0218.94023
Herman, G. T.
1971
Infinite linear sequential machines. Zbl 0184.02703
Gallaire, H.; Gray, J. N.; Harrison, M. A.; Herman, G. T.
1968
The halting problem of one state Turing machines with $$n$$-dimensional tape. Zbl 0169.31104
Herman, G. T.
1968
Computerized tomography with total variation and with shearlets. Zbl 1367.92060
Garduño, Edgar; Herman, Gabor T.
2017
Preface: Superiorization: theory and applications. Zbl 1365.00030
Censor, Y. (ed.); Herman, Gabor T. (ed.); Jiang, Ming (ed.)
2017
General theory of fuzzy connectedness segmentations. Zbl 1368.94009
Ciesielski, Krzysztof Chris; Herman, Gabor T.; Kong, T. Yung
2016
Efficient controls for finitely convergent sequential algorithms. Zbl 1364.65003
Chen, Wei; Herman, Gabor T.
2010
Multiseeded fuzzy segmentation on the face centered cubic grid. Zbl 0977.68711
Carvalho, B. M.; Garduño, E.; Herman, G. T.
2001
A computer implementation of a Bayesian analysis of image reconstruction. Zbl 0344.62004
Herman, Gabor T.; Lent, Arnold
1976
The syntactic inference problem applied to biological systems. Zbl 0266.68031
Herman, G. T.; Walker, A. D.
1972
Computability over arbitrary fields. Zbl 0188.02502
Herman, G. T.; Isard, S. D.
1970
The unsolvability of the uniform problem for two state Turing machines. Zbl 0181.01303
Herman, G. T.
1969
Total variation superiorized conjugate gradient method for image reconstruction. Zbl 1430.94040
Zibetti, Marcelo V. W.; Lin, Chuan; Herman, Gabor T.
2018
Discrete tomography for generating grain maps of polycrystals. Zbl 1180.82190
Alpers, A.; Rodek, L.; Poulsen, H. F.; Knudsen, E.; Herman, G. T.
2007
A coordinate ascent approach to tomographic reconstruction of label images from a few projections. Zbl 1078.92047
Liao, Hstau Y.; Herman, Gabor T.
2005
Simultaneous fuzzy segmentation of multiple objects. Zbl 1138.68626
Carvalho, Bruno M.; Herman, Gabor T.; Kong, T. Yung
2003
Automated estimation of the parameters of Gibbs priors to be used in binary tomography. Zbl 1260.68432
Liao, Hstau Y.; Herman, Gabor T.
2001
Medical applications of discrete tomography. Zbl 1133.92338
Kuba, Attila; Herman, Gabor T.; Matej, Samuel; Todd-Pokropek, Andrew
2000
Probabilistic modeling of discrete images. Zbl 0960.62108
Chan, Michael T.; Herman, Gabor T.; Levitan, Emanuel
1999
A parallelized algorithm for image reconstruction from noisy projections. Zbl 0726.90095
Herman, Gabor T.; Odhner, Dewey; Toennies, Klaus D.; Zenios, Stavros A.
1990
Special-purpose algorithms for linearly constrained entropy maximization. Zbl 0626.65055
Censor, Yair; Elfving, Tommy; Herman, Gabor T.
1987
A topological proof of a surface tracking algorithm. Zbl 0585.68087
Herman, Gabor T.; Webster, Dallas
1983
On the Bayesian approach to image reconstruction. Zbl 0405.94011
Herman, Gabor T.; Hurwitz, Henry; Lent, Arnold; Lung, Hsi-Ping
1979
On the stability of some biological schemes with cellular interactions. Zbl 0332.68060
1976
Iterative relaxation methods for image reconstruction. Zbl 0362.68125
Herman, Gabor T.; Lent, Arnold; Lutz, Peter H.
1975
The equivalence of different hierarchies of elementary functions. Zbl 0222.02043
Herman, G. T.
1971
The uniform halting problem for generalized one-state Turing machines. Zbl 0185.02502
Herman, G. T.
1969
A new hierarchy of elementary functions. Zbl 0181.01201
Herman, G. T.
1969
Computational methods for three-dimensional microscopy reconstruction. Zbl 1281.92003
Herman, Gabor T. (ed.); Frank, Joachim (ed.)
2014
A greedy method for reconstructing polycrystals from three-dimensional X-ray diffraction data. Zbl 1191.94018
Kulshreshth, Arun K.; Alpers, Andreas; Herman, Gabor T.; Knudsen, Erik; Rodek, Lajos; Poulsen, Henning F.
2009
Introduction. Zbl 1130.65128
Kuba, A.; Herman, G. T.
2007
Resolving ambiguities in reconstructed grain maps using discrete tomography. Zbl 1121.68117
Alpers, A.; Knudsen, E.; Poulsen, H. F.; Herman, G. T.
2005
Discrete tomography with a very few views, using Gibbs priors and a marginal posterior mode approach. Zbl 1138.68640
Liao, Hstau Y.; Herman, Gabor T.
2005
Optimization of basis functions for both reconstruction and visualization. Zbl 1072.68632
Garduño, Edgar; Herman, Gabor T.
2004
Generic axiomatized digital surface-structures. Zbl 1072.68108
Fourey, Sébastien; Kong, T. Yung; Herman, Gabor T.
2004
Optimization of basis functions for both reconstruction and visualization. Zbl 1260.68427
Garduño, Edgar; Herman, Gabor T.
2001
Recovery of the absorption coefficient from diffused reflected light using a discrete diffusive model. Zbl 0920.92014
Maritz, Milton F.; Herman, Gabor T.; Yee, Conway
1999
A scientific study of filter selection for a fan-beam convolution reconstruction algorithm. Zbl 0461.65098
Chang, Tao; Herman, Gabor T.
1980
Row-generation methods for feasibility and optimization problems involving sparse matrices and their applications. Zbl 0406.65035
Censor, Yair; Herman, Gabor T.
1979
On universal computer-constructors. Zbl 0267.94050
Herman, Gabor T.
1973
A decision procedure using discrete geometry. Zbl 0259.02029
Herman, Gabor T.; Jackowski, Janice A.
1973
Linear regular languages. II: The problem of synthesis. Zbl 0221.94081
Herman, G. T.
1971
Linear regular languages. I. Zbl 0188.33302
Herman, G. T.
1969
A simple solution of the uniform halting problem. Zbl 0188.33002
Herman, G. T.
1969
Total variation superiorized conjugate gradient method for image reconstruction. Zbl 1430.94040
Zibetti, Marcelo V. W.; Lin, Chuan; Herman, Gabor T.
2018
Computerized tomography with total variation and with shearlets. Zbl 1367.92060
Garduño, Edgar; Herman, Gabor T.
2017
Preface: Superiorization: theory and applications. Zbl 1365.00030
Censor, Y. (ed.); Herman, Gabor T. (ed.); Jiang, Ming (ed.)
2017
General theory of fuzzy connectedness segmentations. Zbl 1368.94009
Ciesielski, Krzysztof Chris; Herman, Gabor T.; Kong, T. Yung
2016
Projected subgradient minimization versus superiorization. Zbl 1298.90104
Censor, Yair; Davidi, Ran; Herman, Gabor T.; Schulte, Reinhard W.; Tetruashvili, Luba
2014
Computational methods for three-dimensional microscopy reconstruction. Zbl 1281.92003
Herman, Gabor T. (ed.); Frank, Joachim (ed.)
2014
On the effectiveness of projection methods for convex feasibility problems with linear inequality constraints. Zbl 1244.90155
Censor, Yair; Chen, Wei; Combettes, Patrick L.; Davidi, Ran; Herman, Gabor T.
2012
Accelerated perturbation-resilient block-iterative projection methods with application to image reconstruction. Zbl 1261.94014
Nikazad, T.; Davidi, R.; Herman, G. T.
2012
Reconstruction from a few projections by $$\ell _{1}$$-minimization of the Haar transform. Zbl 1219.94005
Garduño, E.; Herman, G. T.; Davidi, R.
2011
Perturbation resilience and superiorization of iterative algorithms. Zbl 1193.65019
Censor, Y.; Davidi, R.; Herman, G. T.
2010
Efficient controls for finitely convergent sequential algorithms. Zbl 1364.65003
Chen, Wei; Herman, Gabor T.
2010
Fundamentals of computerized tomography. Image reconstruction from projections. 2nd ed. Zbl 1280.92002
Herman, Gabor T.
2009
Perturbation-resilient block-iterative projection methods with application to image reconstruction from projections. Zbl 1191.94013
Davidi, R.; Herman, G. T.; Censor, Y.
2009
A note on the behavior of the randomized Kaczmarz algorithm of Strohmer and Vershynin. Zbl 1177.68252
Censor, Yair; Herman, Gabor T.; Jiang, Ming
2009
A greedy method for reconstructing polycrystals from three-dimensional X-ray diffraction data. Zbl 1191.94018
Kulshreshth, Arun K.; Alpers, Andreas; Herman, Gabor T.; Knudsen, Erik; Rodek, Lajos; Poulsen, Henning F.
2009
On diagonally relaxed orthogonal projection methods. Zbl 1159.65317
Censor, Yair; Elfving, Tommy; Herman, Gabor T.; Nikazad, Touraj
2008
Image reconstruction from a small number of projections. Zbl 1161.68825
Herman, G. T.; Davidi, R.
2008
A fast algorithm for solving a linear feasibility problem with application to intensity-modulated radiation therapy. Zbl 1195.92036
Herman, Gabor T.; Chen, Wei
2008
Advances in discrete tomography and its applications. Some papers based on the presentations at the workshop on discrete tomography and its applications, New York, NY, USA, June 13–15, 2005. Zbl 1117.65004
Herman, Gabor T. (ed.); Kuba, Attila (ed.)
2007
Discrete tomography for generating grain maps of polycrystals. Zbl 1180.82190
Alpers, A.; Rodek, L.; Poulsen, H. F.; Knudsen, E.; Herman, G. T.
2007
Introduction. Zbl 1130.65128
Kuba, A.; Herman, G. T.
2007
Simultaneous fuzzy segmentation of multiple objects. Zbl 1101.68922
Carvalho, Bruno M.; Herman, Gabor T.; Kong, T. Yung
2005
A coordinate ascent approach to tomographic reconstruction of label images from a few projections. Zbl 1078.92047
Liao, Hstau Y.; Herman, Gabor T.
2005
Resolving ambiguities in reconstructed grain maps using discrete tomography. Zbl 1121.68117
Alpers, A.; Knudsen, E.; Poulsen, H. F.; Herman, G. T.
2005
Discrete tomography with a very few views, using Gibbs priors and a marginal posterior mode approach. Zbl 1138.68640
Liao, Hstau Y.; Herman, Gabor T.
2005
Automated estimation of the parameters of Gibbs priors to be used in binary tomography. Zbl 1072.68634
Liao, Hstau Y.; Herman, Gabor T.
2004
Optimization of basis functions for both reconstruction and visualization. Zbl 1072.68632
Garduño, Edgar; Herman, Gabor T.
2004
Generic axiomatized digital surface-structures. Zbl 1072.68108
Fourey, Sébastien; Kong, T. Yung; Herman, Gabor T.
2004
Three-dimensional reconstruction by Chanine’s method from electron microscopic projections corrupted by instrumental aberrations. Zbl 1046.65112
Zubelli, J. P.; Marabini, R.; Sorzano, C. O. S.; Herman, G. T.
2003
Simultaneous fuzzy segmentation of multiple objects. Zbl 1138.68626
Carvalho, Bruno M.; Herman, Gabor T.; Kong, T. Yung
2003
Block-iterative algorithms with underrelaxed Bregman projections. Zbl 1055.90059
Censor, Yair; Herman, Gabor T.
2002
Averaging strings of sequential iterations for convex feasibility problems. Zbl 1160.65320
Censor, Y.; Elfving, T.; Herman, G. T.
2001
Speeding up stochastic reconstructions of binary images from limited projection directions. Zbl 0990.65144
Vardi, Eilat; Herman, Gabor T.; Kong, T. Yung
2001
Multiseeded fuzzy segmentation on the face centered cubic grid. Zbl 0977.68711
Carvalho, B. M.; Garduño, E.; Herman, G. T.
2001
Automated estimation of the parameters of Gibbs priors to be used in binary tomography. Zbl 1260.68432
Liao, Hstau Y.; Herman, Gabor T.
2001
Optimization of basis functions for both reconstruction and visualization. Zbl 1260.68427
Garduño, Edgar; Herman, Gabor T.
2001
Medical applications of discrete tomography. Zbl 1133.92338
Kuba, Attila; Herman, Gabor T.; Matej, Samuel; Todd-Pokropek, Andrew
2000
Discrete tomography. Foundations, algorithms, and applications. Zbl 0946.00014
Herman, Gabor T. (ed.); Kuba, Attila (ed.)
1999
Discrete tomography: A historical overview. Zbl 0959.92014
Kuba, Attila; Herman, Gabor T.
1999
Tomographic equivalence and switching operations. Zbl 0963.05027
Kong, T. Yung; Herman, Gabor T.
1999
Binary tomography using Gibbs priors. Zbl 0959.92015
Matej, Samuel; Vardi, Avi; Herman, Gabor T.; Vardi, Eilat
1999
Probabilistic modeling of discrete images. Zbl 0960.62108
Chan, Michael T.; Herman, Gabor T.; Levitan, Emanuel
1999
Recovery of the absorption coefficient from diffused reflected light using a discrete diffusive model. Zbl 0920.92014
Maritz, Milton F.; Herman, Gabor T.; Yee, Conway
1999
Geometry of digital spaces. Zbl 0902.65102
Herman, Gabor T.
1998
Binary vectors partially determined by linear equation systems. Zbl 0877.15004
Aharoni, R.; Herman, G. T.; Kuba, A.
1997
On iterative methods for linearly constrained entropy maximization. Zbl 0718.65047
Censor, Yair; de Pierro, Alvaro R.; Elfving, Tommy; Herman, Gabor T.; Iusem, Alfredo N.
1990
A parallelized algorithm for image reconstruction from noisy projections. Zbl 0726.90095
Herman, Gabor T.; Odhner, Dewey; Toennies, Klaus D.; Zenios, Stavros A.
1990
On some optimization techniques in image reconstruction from projections. Zbl 0655.65140
Censor, Yair; Herman, Gabor T.
1987
Image reconstruction from projections: An approach from mathematical analysis. Zbl 0900.65376
Herman, G. T.; Tuy, H. K.
1987
Special-purpose algorithms for linearly constrained entropy maximization. Zbl 0626.65055
Censor, Yair; Elfving, Tommy; Herman, Gabor T.
1987
A method of iterative data refinement and its applications. Zbl 0561.92002
Censor, Y.; Elfving, T.; Herman, G. T.
1985
A topological proof of a surface tracking algorithm. Zbl 0585.68087
Herman, Gabor T.; Webster, Dallas
1983
Mathematical optimization versus practical performance: A case study based on the maximum entropy criterion in image reconstruction. Zbl 0487.92002
Herman, Gabor T.
1982
Iterative algorithms for large partitioned linear systems, with applications to image reconstruction. Zbl 0466.65021
Eggermont, P. P. B.; Herman, G. T.; Lent, A.
1981
Image reconstruction from projections. The fundamentals of computerized tomography. Zbl 0538.92005
Herman, Gabor T.
1980
A storage-efficient algorithm for finding the regularized solution of a large, inconsistent system of equations. Zbl 0441.65033
Herman, G. T.; Lent, A.; Hurwitz, H.
1980
A scientific study of filter selection for a fan-beam convolution reconstruction algorithm. Zbl 0461.65098
Chang, Tao; Herman, Gabor T.
1980
The use of sparse matrices for image reconstruction from projections. Zbl 0407.65028
Herman, Gabor T.
1979
On the Bayesian approach to image reconstruction. Zbl 0405.94011
Herman, Gabor T.; Hurwitz, Henry; Lent, Arnold; Lung, Hsi-Ping
1979
Row-generation methods for feasibility and optimization problems involving sparse matrices and their applications. Zbl 0406.65035
Censor, Yair; Herman, Gabor T.
1979
A family of iterative quadratic optimization algorithms for pairs of inequalities, with application in diagnostic radiology. Zbl 0389.90078
Herman, Gabor T.; Lent, Arnold
1978
Relaxation methods for image reconstruction. Zbl 0367.68065
Herman, Gabor T.; Lent, Arnold; Lutz, Peter H.
1978
Fast image reconstruction based on a Radon inversion formula appropriate for rapidly collected data. Zbl 0369.44003
Herman, Gabor T.; Naparstek, Abraham
1977
Growth functions associated with biological development. Zbl 0343.92002
Herman, Gabor T.; Vitanyi, Paul M. B.
1976
A computer implementation of a Bayesian analysis of image reconstruction. Zbl 0344.62004
Herman, Gabor T.; Lent, Arnold
1976
On the stability of some biological schemes with cellular interactions. Zbl 0332.68060
1976
Developmental systems and languages. With a contribution by Aristid Lindenmayer. Zbl 0306.68045
Herman, Gabor T.; Rozenberg, Grzegorz
1975
Description of developmental languages using recurrence systems. Zbl 0313.68068
Herman, G. T.; Lindenmayer, A.; Rozenberg, G.
1975
A relaxation method for reconstructing objects from noisy X-rays. Zbl 0298.65028
Herman, G. T.
1975
Context free languages in biological systems. Zbl 0312.68039
1975
Iterative relaxation methods for image reconstruction. Zbl 0362.68125
Herman, Gabor T.; Lent, Arnold; Lutz, Peter H.
1975
Closure properties of some families of languages associated with biological systems. Zbl 0275.68018
Herman, Gabor T.
1974
Synchronization of growing cellular arrays. Zbl 0292.94040
Herman, Gabor T.; Liu, Wu-Hung; Rowland, Stuart; Walker, Adrian
1974
Characterization of unary developmental languages. Zbl 0279.68062
Herman, G. T.; Lee, K. P.; van Leeuwen, J.; Rozenberg, G.
1973
Algorithms for producing grammars from sample derivations: a common problem of formal language theory and developmental biology. Zbl 0252.68041
Feliciangeli, Horacio; Herman, Gabor T.
1973
A biologically motivated extension of ALGOL-like languages. Zbl 0257.68009
Herman, Gabor T.
1973
On universal computer-constructors. Zbl 0267.94050
Herman, Gabor T.
1973
A decision procedure using discrete geometry. Zbl 0259.02029
Herman, Gabor T.; Jackowski, Janice A.
1973
Models for cellular interactions in development without polarity of individual cells. II: Problems of synchronization and regulation. Zbl 0246.92006
Herman, Gabor T.
1972
The syntactic inference problem applied to biological systems. Zbl 0266.68031
Herman, G. T.; Walker, A. D.
1972
Reconstruction o f pictures from their projections. Zbl 0225.68053
Gordon, Richard; Herman, Gabor T.
1971
Strong comutability and variants of the uniform halting problem. Zbl 0218.02033
Herman, G. T.
1971
Models for cellular interactions in development without polarity of individual cells. I: General description and the problem of universal computing ability. Zbl 0224.92007
Herman, Gabor T.
1971
Every finite sequential machine is linearly realizable. Zbl 0222.94056
Herman, G. T.
1971
When is a sequential machine the realization of another? Zbl 0218.94023
Herman, G. T.
1971
The equivalence of different hierarchies of elementary functions. Zbl 0222.02043
Herman, G. T.
1971
Linear regular languages. II: The problem of synthesis. Zbl 0221.94081
Herman, G. T.
1971
Computability over arbitrary fields. Zbl 0188.02502
Herman, G. T.; Isard, S. D.
1970
The unsolvability of the uniform problem for two state Turing machines. Zbl 0181.01303
Herman, G. T.
1969
The uniform halting problem for generalized one-state Turing machines. Zbl 0185.02502
Herman, G. T.
1969
A new hierarchy of elementary functions. Zbl 0181.01201
Herman, G. T.
1969
Linear regular languages. I. Zbl 0188.33302
Herman, G. T.
1969
A simple solution of the uniform halting problem. Zbl 0188.33002
Herman, G. T.
1969
Infinite linear sequential machines. Zbl 0184.02703
Gallaire, H.; Gray, J. N.; Harrison, M. A.; Herman, G. T.
1968
The halting problem of one state Turing machines with $$n$$-dimensional tape. Zbl 0169.31104
Herman, G. T.
1968
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#### Cited by 1,060 Authors

 43 Censor, Yair 42 Herman, Gabor T. 40 Rozenberg, Grzegorz 18 Frosini, Andrea 15 Ehrenfeucht, Andrzej 15 Iusem, Alfredo Noel 13 Dulio, Paolo 12 Kuba, Attila 12 Wood, Derick 11 Needell, Deanna 10 Brunetti, Sara 10 Nikazad, Touraj 10 Picouleau, Christophe 10 Rinaldi, Simone 9 Batenburg, Kees Joost 9 Dax, Achiya 9 de Pierro, Alvaro Rodolfo 9 Elfving, Tommy 9 Gritzmann, Peter 9 Kong, Tat Yung 9 Lee, Kwok Ping 9 Reich, Simeon 8 Culik, Karel II 8 Gordon, Dan 8 Hansen, Per Christian 8 Peri, Carla 8 Popa, Constantin Gh. 8 Zaslavski, Alexander Yakovlevich 7 Bauschke, Heinz H. 7 Engelfriet, Joost 7 Gibali, Aviv 7 Gille, Jean-Charles 7 Head, Thomas J. 7 Nirmal, Nalinakshi 7 Salomaa, Arto Kustaa 7 Vidal, Pierre-Paul 7 Węgrzyn, Stefan 6 Abbasi, Mokhtar 6 Balázs, Péter 6 Costa, Marie-Christine 6 Dahl, Geir 6 Del Lungo, Alberto 6 Jiang, Ming 6 Kobuchi, Youichi 6 Liao, Hstau Y. 6 Lindenmayer, Aristid 6 Nishida, Taishin Yasunobu 6 Nivat, Maurice 6 Păun, Gheorghe 6 Zenios, Stavros Andrea 5 Alpers, Andreas 5 Barcucci, Elena 5 Bello Cruz, Jose Yunier 5 Brocchi, Stefano 5 Dang, Yazheng 5 Dassow, Jürgen 5 Dong, Qiaoli 5 Garduño, Edgar 5 Jarray, Fethi 5 Martínez, José Mario 5 Nagy, Antal 5 Qu, Gangrong 5 Ruohonen, Keijo 5 Schnörr, Christoph 5 Subramanian, Kumbakonam Govindarajan 5 Van Leeuwen, Jan 5 Zhang, Lingli 4 Balogh, Emese 4 Ciesielski, Krzysztof Chris 4 Dang Van Hieu 4 Dao, Minh Ngoc 4 Daurat, Alain 4 de Werra, Dominique 4 Ferreira, Orizon Pereira 4 Gardner, Richard J. 4 Guo, Yumeng 4 Hajdu, Lajos 4 Karhumaki, Juhani 4 Krithivasan, Kamala 4 Langfeld, Barbara 4 Li, Xiezhang 4 Loli Piccolomini, Elena 4 Maurer, Hermann A. 4 Németh, Sándor Zoltán 4 Pagani, Silvia M. C. 4 Popkov, Yuriĭ Solomonovich 4 Reem, Daniel 4 Skyum, Sven 4 Svaiter, Benar Fux 4 Thierrin, Gabriel 4 Tijdeman, Robert 4 Turner, Cristina Vilma 4 Vermeir, Dirk 4 Wang, Chengxiang 4 Weber, Stefan 4 Zama, Fabiana 4 Zhu, Jiehua 3 Abraham, Romain 3 Aharoni, Ron 3 Bergounioux, Maïtine ...and 960 more Authors
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#### Cited in 182 Serials

 69 Theoretical Computer Science 43 Linear Algebra and its Applications 40 Discrete Applied Mathematics 39 International Journal of Computer Mathematics 28 Inverse Problems 22 Journal of Computer and System Sciences 20 Applied Mathematics and Computation 20 Journal of Optimization Theory and Applications 20 Journal of Mathematical Imaging and Vision 19 Information Sciences 19 Journal of Computational and Applied Mathematics 18 Numerical Algorithms 17 Information Processing Letters 16 Computational Optimization and Applications 15 Discrete Mathematics 11 Acta Informatica 11 Mathematical Programming. Series A. Series B 10 Mathematical Systems Theory 9 BIT 9 Pattern Recognition 8 International Journal of Systems Science 8 Optimization 8 SIAM Journal on Scientific Computing 7 International Journal of Computer & Information Sciences 7 Numerical Functional Analysis and Optimization 7 RAIRO, Informatique Théorique 7 Applied Numerical Mathematics 7 SIAM Journal on Optimization 7 Journal of Inverse and Ill-Posed Problems 6 Numerische Mathematik 6 Journal of Global Optimization 5 Acta Mathematicae Applicatae Sinica. English Series 5 Applied Mathematical Modelling 5 European Journal of Operational Research 5 Inverse Problems in Science and Engineering 4 Computers & Mathematics with Applications 4 Computer Physics Communications 4 Mathematical Methods in the Applied Sciences 4 Applied Mathematics and Optimization 4 Transactions of the American Mathematical Society 4 Discrete & Computational Geometry 4 Annals of Operations Research 4 Computational Statistics and Data Analysis 4 The Journal of Fourier Analysis and Applications 4 Mathematical Problems in Engineering 4 Optimization Letters 4 Inverse Problems and Imaging 3 International Journal of General Systems 3 Journal of Mathematical Analysis and Applications 3 Mathematical Biosciences 3 Calcolo 3 Journal of Approximation Theory 3 Kybernetika 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Mathematical and Computer Modelling 3 SIAM Journal on Matrix Analysis and Applications 3 Applied and Computational Harmonic Analysis 3 International Transactions in Operational Research 3 Abstract and Applied Analysis 3 Optimization Methods & Software 3 Fixed Point Theory and Applications 3 SIAM Journal on Imaging Sciences 2 Biological Cybernetics 2 Computer Methods in Applied Mechanics and Engineering 2 General Relativity and Gravitation 2 Journal of Computational Physics 2 Automatica 2 Computing 2 Fuzzy Sets and Systems 2 Mathematics and Computers in Simulation 2 Mathematica Slovaca 2 Topology and its Applications 2 European Journal of Combinatorics 2 Applied Mathematics and Mechanics. (English Edition) 2 Acta Applicandae Mathematicae 2 Information and Computation 2 Neural Computation 2 International Journal of Foundations of Computer Science 2 RAIRO. Informatique Théorique et Applications 2 Computational and Applied Mathematics 2 Journal of Inequalities and Applications 2 Journal of Discrete Mathematical Sciences & Cryptography 2 Physical Review Letters 2 International Journal of Wavelets, Multiresolution and Information Processing 2 Journal of Nonlinear Science and Applications 2 Symmetry 2 Afrika Matematika 1 Applicable Analysis 1 Archiv für Mathematische Logik und Grundlagenforschung 1 The Canadian Journal of Statistics 1 International Journal of Control 1 Journal of the Franklin Institute 1 Physics Letters. A 1 Ukrainian Mathematical Journal 1 Wave Motion 1 Mathematics of Computation 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 Boletim da Sociedade Brasileira de Matemática 1 Bulletin of the London Mathematical Society ...and 82 more Serials
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#### Cited in 48 Fields

 388 Computer science (68-XX) 292 Numerical analysis (65-XX) 185 Operations research, mathematical programming (90-XX) 139 Biology and other natural sciences (92-XX) 111 Information and communication theory, circuits (94-XX) 60 Integral transforms, operational calculus (44-XX) 53 Operator theory (47-XX) 52 Linear and multilinear algebra; matrix theory (15-XX) 43 Combinatorics (05-XX) 38 Calculus of variations and optimal control; optimization (49-XX) 24 Convex and discrete geometry (52-XX) 22 Mathematical logic and foundations (03-XX) 21 Statistics (62-XX) 15 Partial differential equations (35-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 11 Systems theory; control (93-XX) 9 Approximations and expansions (41-XX) 9 Optics, electromagnetic theory (78-XX) 8 Integral equations (45-XX) 8 General topology (54-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Group theory and generalizations (20-XX) 6 Functional analysis (46-XX) 6 Probability theory and stochastic processes (60-XX) 5 Number theory (11-XX) 5 Mechanics of deformable solids (74-XX) 5 Geophysics (86-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Differential geometry (53-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Manifolds and cell complexes (57-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Quantum theory (81-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX)