Automated estimation of the parameters of Gibbs priors to be used in binary tomography

Discrete Applied Mathematics

Volumn 139, Issue 1-3, 2004, Pages 149-170

  Liao, Hstau Y ^a   Herman, Gabor T ^a  

^a City University of New York   (United States)

Author keywords

Discrete tomography; Gibbs distribution; Markov random field; Parameter estimation

Indexed keywords

AUTOMATION; MATHEMATICAL MODELS; PARAMETER ESTIMATION; PROBABILITY; PROBLEM SOLVING;

DISCRETE TOMOGRAPHY; GIBBS DISTRIBUTION; MARKOV RANDOM FIELDS;

IMAGE RECONSTRUCTION;

EID: 1842787447     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.dam.2003.01.001     Document Type: Conference Paper

References (12)

1. Aharoni R., Herman G.T., Kuba A. Binary vectors partially determined by linear equation systems. Discrete Math. 171:1997;1-16.
2. Borges C.F. On the estimation of Markov random field parameters. IEEE Trans. Pattern Anal. Mach. Intell. 21:1999;216-224.
3. Carvalho B.M., Herman G.T., Matej S., Salzberg C., Vardi E. Binary tomography for triplane cardiography. Kuba A., Samal M., Todd-Pokropek A. Information Processing in Medical Imaging. 1999;29-41 Springer, Berlin.
4. Derin H., Elliot H. Modeling and segmentation of noisy and textured images using Gibbs random fields. IEEE Trans. Pattern Anal. Mach. Intell. 9:1987;39-55.
5. Duda R.O., Hart P.E., Stork D.G. Pattern Classification. 2001;Wiley, New York.
6. Herman G.T. Image Reconstruction from Projections: The Fundamentals of Computerized Tomography. 1980;Academic Press, New York.
7. Kong T.Y., Herman G.T. Tomographic equivalence and switching operations. Herman G.T., Kuba A. Discrete Tomography: Foundations, Algorithms and Applications. 1999;59-84 Birkhäuser, Boston.
8. Matej S., Herman G.T., Vardi A. Binary tomography on the hexagonal grid using Gibbs priors. Int. J. Imag. Syst. Tech. 9:1998;126-131.
9. Metropolis N., Rosenbluth A.W., Rosenbluth M.N., Teller A.H., Teller E. Equations of state calculations by fast computing machines. J. Chem. Phys. 21:1953;1087-1092.
10. Nadabar S.G., Jain A.K. Parameter estimation in Markov random field contextual models using geometric models of objects. IEEE Trans. Pattern Anal. Mach. Intell. 18:1996;326-329.
11. Vardi E., Herman G.T., Kong T.Y. Speeding up stochastic reconstructions of binary images from limited projection directions. Linear Algebra Appl. 339:2001;75-89.
12. Winkler G. Image Analysis, Random Fields and Dynamic Monte Carlo Methods. 1995;Springer, Berlin.