Abstract
Two models are given for the extraction of boundaries in digital images, one for discriminating textures and the other for discriminating objects. In both cases a Markov random field is constructed as a prior distribution over intensities (observed) and labels (unobserved); the labels are either the texture types or boundary indicators. The posterior distribution, i.e., the conditional distribution over the labels given the intensities, is then analyzed by a Monte-Carlo algorithm called stochastic relaxation. The final labeling corresponds to a local maximum of the posterior likelihood.
Research partially supported by Office of Naval Research contract N00014-86-K-0027 and National Science Foundation grant DMS-8401927.
Research partially supported by Office of Naval Research contract N00014-86-0037, Army Research Office contract DAAG29-83-K-0116, and National Science Foundation grant DMS-8352087.
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References
E. Aarts and P. van Laarhoven, “Simulated annealing: a pedestrian review of the theory and some applications,” NATO Advanced Study Institute on Pattern Recognition: Theory and Applications, Spa, Belgium, June 1986.
J. Besag, “Spatial interaction and the statistical analysis of lattice systems” (with discussion), J. Royal Statist. 5oc., Series B, 36, 192–236, 1974.
J. Besag, “On the statistical analysis of dirty pictures,” J. Royal Statist. Soc., Series B, 1986.
F.S. Cohen and D.B. Cooper, “Simple parallel hierarchical and relaxation algorithms for segmenting noncausal Markovian random fields,” IEEE Trans. Pattern Anal. Machine Intell., to appear.
G.R. Cross and A.K. Jain, “Markov random field texture models,” IEEE Trans. Pattern Anal. Machine Intell., PAMI-5, 25–40, 1983.
L.S. Davis, “A survey of edge detection techniques,” Cornput. Graphics Image Processing, 4, 248–270, 1975.
P.A. Devijver, “Hidden Markov models for speech and images,” Nato Advanced Study Institute on Pattern Recognition: Theory and Applications, Spa, Belgium, June 1986.
H. Elliott and H. Derin, “Modelling and segmentation of noisy and textured images using Gibbs random fields,” to appear in IEEE Trans. Pattern Anal. Machine Intell.
S. Geman and D. Geman, “Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images,” IEEE Trans. Pattern Anal. Machine Intel/., 6, 721–741, 1984
D. Geman and S. Geman, “Bayesian image analysis,” in Disordered Systems and Biological Organization, Springer-Verlag, Berlin, 1986.
S. Geman and D.E. McClure, “Bayesian image analysis: an application to single photon emission tomography,” 1985.
D. Geman, S. Geman, and D.E. McClure, “Markov random field image models and their applications,” invited paper, Annals of Statistics, in preparation.
A.R. Hanson and E.M. Riseman, “Segmentation of natural scenes,” in Computer Vision Systems, Academic Press, New York, 1978.
D. Marr and E. Hildreth, “Theory of edge detectors,” Proc. Royal Soc. B, 207, 187–207, 1980.
J. Marroquin, S. Mitter, and T. Poggio, “Probabilistic solution of ill-posed problems in computational vision,” Artif. Intell. Lab. TECH. REPORT, M.I.T., 1985.
D.W. Murray, A. Kashko, and H. Buxton, “A parallel approach to the picture restoration algorithm of Geman and Geman on an SIMD machine,” to appear in Image and Vision Computing.
E. Oja, “Texture subspaces,” NATO Advanced Study Institute: Theory and Applications, Spa, Belgium, June 1986.
Possolo, “Estimation of binary Markov random fields,” preprint, 1986.
B.D. Ripley, “Statistics, images, and pattern recognition,” Canadian J. of Statist., 14, 83–111, 1986.
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Geman, D., Geman, S., Graffigne, C. (1987). Locating Texture and Object Boundaries. In: Devijver, P.A., Kittler, J. (eds) Pattern Recognition Theory and Applications. NATO ASI Series, vol 30. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83069-3_14
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DOI: https://doi.org/10.1007/978-3-642-83069-3_14
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