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Volumn 44, Issue 7, 1998, Pages 2901-2916

Stationary Markov random fieldson a finite rectangular lattice

Author keywords

Markov random fields; Pickard random fields; Stationarity; Unilaterality

Indexed keywords

COMPUTATIONAL GEOMETRY; COMPUTER SIMULATION; PROBABILITY DISTRIBUTIONS; SET THEORY;

EID: 0032201774     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/18.737521     Document Type: Article
Times cited : (20)

References (24)
  • 1
    • 0000013152 scopus 로고
    • On the statistical analysis of dirty pictures (with discus-sion)
    • J. E. Besag, "On the statistical analysis of dirty pictures (with discus-sion)," J. Roy. Statist. Soc. B. vol. 48, no. 3, pp. 259-302, 1986.
    • (1986) J. Roy. Statist. Soc. B. , vol.48 , Issue.3 , pp. 259-302
    • Besag, J.E.1
  • 2
    • 0021518209 scopus 로고
    • Stochastic relaxation, Gibbs distributions,and the Bayesian restoration of images
    • Nov.
    • S. Geman and D. Geman, "Stochastic relaxation, Gibbs distributions,and the Bayesian restoration of images," IEEE Trans. Pattern Anal.Machine Intell., vol. PAMI-6, pp. 721-741, Nov. 1984.
    • (1984) IEEE Trans. Pattern Anal.Machine Intell. , vol.PAMI-6 , pp. 721-741
    • Geman, S.1    Geman, D.2
  • 3
    • 0026124056 scopus 로고
    • Compound Gauss-Markov random fields forimage estimation
    • Mar.
    • F. Jeng and J. Woods, "Compound Gauss-Markov random fields forimage estimation," IEEE Trans. Signal Processing, vol. 39, no. 3, pp.683-697, Mar. 1991.
    • (1991) IEEE Trans. Signal Processing , vol.39 , Issue.3 , pp. 683-697
    • Jeng, F.1    Woods, J.2
  • 4
    • 0029759080 scopus 로고    scopus 로고
    • Restriction of a Markov random field on a graphand multiresolution statistical image modeling
    • Jan.
    • P. Pérez and F. Heitz, "Restriction of a Markov random field on a graphand multiresolution statistical image modeling," IEEE Trans. Inform.Theory, vol. 42, pp. 180-190, Jan. 1996.
    • (1996) IEEE Trans. Inform.Theory , vol.42 , pp. 180-190
    • Pérez, P.1    Heitz, F.2
  • 5
    • 0001235413 scopus 로고
    • The description of a random field by the means of con-ditional probabilities and conditions of its regularity
    • P. Dobrushin, "The description of a random field by the means of con-ditional probabilities and conditions of its regularity," Theory Probab.Its Applic., vol. 13, no. 2, pp. 197-224, 1968.
    • (1968) Theory Probab.Its Applic. , vol.13 , Issue.2 , pp. 197-224
    • Dobrushin, P.1
  • 7
    • 0010074921 scopus 로고
    • A curious binary lattice process
    • D. K. Pickard, "A curious binary lattice process," J. Appl. Probab., vol.14, pp. 717-731, 1977.
    • (1977) J. Appl. Probab. , vol.14 , pp. 717-731
    • Pickard, D.K.1
  • 8
    • 0000580973 scopus 로고
    • Unilateral Markov fields
    • _, "Unilateral Markov fields," Adv. Appl. Probab., vol. 12, pp.655-671, 1980.
    • (1980) Adv. Appl. Probab. , vol.12 , pp. 655-671
  • 9
    • 0012033570 scopus 로고
    • Champs aléatoires de Pickard etmodélization d'images digitales
    • P. Devijver and M. Dekessel, "Champs aléatoires de Pickard etmodélization d'images digitales," Traitement du Signal, vol. 5, no.5, pp. 131-150, 1988.
    • (1988) Traitement du Signal , vol.5 , Issue.5 , pp. 131-150
    • Devijver, P.1    Dekessel, M.2
  • 10
    • 0027632548 scopus 로고
    • Markov modeling for Bayesian restoration oftwo-dimensional layered structures
    • July
    • J. Idler and Y. Goussard, "Markov modeling for Bayesian restoration oftwo-dimensional layered structures," IEEE Trans. Inform. Theory, vol.39, pp. 1356-1373, July 1993.
    • (1993) IEEE Trans. Inform. Theory , vol.39 , pp. 1356-1373
    • Idler, J.1    Goussard, Y.2
  • 11
    • 0024770877 scopus 로고
    • Mutually compatible Gibbs random fields
    • J. Goutsias, "Mutually compatible Gibbs random fields," IEEE Trans.Inform. Theory, vol. 35, pp. 1233-1249, 1989.
    • (1989) IEEE Trans.Inform. Theory , vol.35 , pp. 1233-1249
    • Goutsias, J.1
  • 12
    • 0000913755 scopus 로고
    • Spatial interaction and the statistical analysis of latticesystems
    • J. E. Besag, "Spatial interaction and the statistical analysis of latticesystems (with discussion)," J. Roy. Statist. Soc. B, vol. 36, no. 2, pp.192-236, 1974.
    • (1974) J. Roy. Statist. Soc. B , vol.36 , Issue.2 , pp. 192-236
    • Besag, J.E.1
  • 13
    • 0001471020 scopus 로고
    • Markov chains in many dimensions
    • D. Politis, "Markov chains in many dimensions," Adv. Appl. Probab.,vol. 26, pp. 756-774, 1994.
    • (1994) Adv. Appl. Probab. , vol.26 , pp. 756-774
    • Politis, D.1
  • 15
    • 0021517736 scopus 로고
    • Bayes smoothingalgorithms for segmentation of binary images modeled by Markovrandom fields
    • H. Derin, H. Elliott, R. Cristi, and D. Geman, "Bayes smoothingalgorithms for segmentation of binary images modeled by Markovrandom fields," IEEE Trans. Pattern Anal. Machine Intell., vol. PAMI-6,p. 4, 1984.
    • (1984) IEEE Trans. Pattern Anal. Machine Intell. , vol.PAMI-6 , pp. 4
    • Derin, H.1    Elliott, H.2    Cristi, R.3    Geman, D.4
  • 16
    • 0003701029 scopus 로고
    • École d'Étéde Probabilités de Saint-Flour XVIII, 1988 (Springer-Verlag, lecturenotes in mathematics, vol. 1427). Berlin, Germany: Springer-Verlag
    • D. Geman, Random Fields and Inverse Problems in Imaging, École d'Étéde Probabilités de Saint-Flour XVIII, 1988 (Springer-Verlag, lecturenotes in mathematics, vol. 1427). Berlin, Germany: Springer-Verlag,1990, pp. 117-193.
    • (1990) Random Fields and Inverse Problems in Imaging , pp. 117-193
    • Geman, D.1
  • 17
    • 0001856840 scopus 로고
    • Unilateral Gaussian fields
    • E. M. Tory and D. K. Pickard, "Unilateral Gaussian fields," Adv. Appl.Probab., vol. 24, pp. 95-112, 1992.
    • (1992) Adv. Appl.Probab. , vol.24 , pp. 95-112
    • Tory, E.M.1    Pickard, D.K.2
  • 18
    • 38249019636 scopus 로고
    • Parameter estimation for hidden Gibbschains
    • June
    • W. Qian and D. M. Titterington, "Parameter estimation for hidden Gibbschains," Statist. Probab. Lett., vol. 10, pp. 49-58, June 1990.
    • (1990) Statist. Probab. Lett. , vol.10 , pp. 49-58
    • Qian, W.1    Titterington, D.M.2
  • 20
    • 2042423764 scopus 로고    scopus 로고
    • Fully Bayesian imagesegmentation - An engineering perspective
    • INRIA,Oct.
    • R. Morris, X. Descombes, and J. Zerubia, "Fully Bayesian imagesegmentation - An engineering perspective," Tech. Rep. 3017, INRIA,Oct. 1996.
    • (1996) Tech. Rep. , vol.3017
    • Morris, R.1    Descombes, X.2    Zerubia, J.3
  • 21
    • 0002125121 scopus 로고
    • Inference for discrete Markov fields: The simplestnontrivial case
    • D. K. Pickard, "Inference for discrete Markov fields: The simplestnontrivial case," J. Acoust. Soc. Amer., vol. 82, pp. 90-96, 1987.
    • (1987) J. Acoust. Soc. Amer. , vol.82 , pp. 90-96
    • Pickard, D.K.1
  • 22
    • 0028429838 scopus 로고
    • An empirical study of thesimulation of various models used for images
    • May
    • A. Gray, J. Kay, and D. Titterington, "An empirical study of thesimulation of various models used for images," IEEE Trans. PatternAnal. Machine Intell., vol. 16, pp. 507-513, May 1994.
    • (1994) IEEE Trans. PatternAnal. Machine Intell. , vol.16 , pp. 507-513
    • Gray, A.1    Kay, J.2    Titterington, D.3
  • 23
    • 0026359272 scopus 로고
    • Unilateral approximations of Gibbs random field images,"CVGIP
    • J. Goutsias, "Unilateral approximations of Gibbs random field images,"CVGIP: Graph. Models Image Processing, vol. 53, pp. 240-257, 1991.
    • (1991) Graph. Models Image Processing , vol.53 , pp. 240-257
    • Goutsias, J.1
  • 24
    • 0031269904 scopus 로고    scopus 로고
    • Stochastic approximation algorithmsfor partition function estimation of Gibbs random fields
    • Nov.
    • G. Potamianos and J. Goutsias, "Stochastic approximation algorithmsfor partition function estimation of Gibbs random fields," IEEE Trans.Inform. Theory, vol. 43, pp. 1948-1965, Nov. 1997.
    • (1997) IEEE Trans.Inform. Theory , vol.43 , pp. 1948-1965
    • Potamianos, G.1    Goutsias, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.