A number of applied problems are effectively solved with simple Markov-Gibbs random field (MGRF) models of spatially homogeneous or piecewise-homogeneous images provided that their identification (parameter estimation) is able to focus such a prior on a particular class of images. We propose more accurate analytical potential estimates for a generic MGRF with multiple pairwise pixel interaction and use them for structural analysis and synthesis of stochastic and periodic image textures.
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References
O. Barndorff-Nielsen. Information and Exponential Families in Statistical Theory. Wiley, New York, 1978
J.E. Besag. Journal of Royal Statistical Society, B48:192–236, 1974
P. Brodatz. Textures: A Photographic Album for Artists and Designers. Dover, New York, 1966
G.R. Cross and A.K. Jain. IEEE Transactions on Pattern Analysis and Machine Intelligence, 5:25–39, 1983
A.A. Efros and W.T. Freeman. Image quilting for texture synthesis and transfer. In Proceedings of ACM Computer Graphics Conference SIGGRAPH 2001. ACM Press, New York, 2001
A.A. Efros and T.K. Leung. Texture synthesis by non-parametric sampling. In Proceedings of 7th International Conference on Computer Vision (ICCV 1999), volume 2. IEEE CS Press, Los Alamitos, 1999
G.L. Gimel’farb. Non-Markov Gibbs texture model with multiple pairwise pixel interactions. In Proceedings of the 13th International Conference on Pattern Recognition (ICPR 1996), volume B. IEEE CS Press, Los Alamitos, 1996
G.L. Gimel’farb. IEEE Transactions on Pattern Analysis and Machine Intelligence, 18:1110–1114, 1996
G.L. Gimel’farb. Image Textures and Gibbs Random Fields. Kluwer Academic, Dordrecht, 1999
G. Gimel’farb and D. Zhou. Fast synthesis of large-size textures using bunch sampling. In Proceedings of the Image and Vision Computing New Zealand (IVCNZ 2002). Wickliffe, Dunedin 2002
G. Gimel’farb and D. Zhou, Accurate identification of a Markov–Gibbs model for texture synthesis by bunch sampling. In Proceedings of the International Conference on Computer Analysis of Images and Patterns (CAIP 2007), volume 4673, LNCS. Springer, Berlin Heidelberg New York, 2007
R.M. Haralick. Proceedings of IEEE 67:786–804, 1979
R.M. Haralick and L.G. Shapiro. Computer and Robot Vision, volume 2. Addison-Wesley, Reading, 1993
B. Julesz. Nature, 290:91–97, 1981
V. Kwatra, A. Schidl, I.A. Essa, et al. Graphcut textures: Image and video synthesis using graph cuts. In Proceedings of the ACM Computer Graphics Conference SIGGRAPH 2003. ACM Press, New York, 2003
T.K. Leung and J. Malik. International Journal of Computer Vision 43:29–44, 2001
L. Liang, C. Liu, and H.Y. Shum. Real-time texture synthesis by patch-based sampling. Technical Report MSR-TR-2001-40, Microsoft Research, 2001
Y. Liu and W.-C. Lin. Deformable texture: the irregular-regular-irregular cycle. In Proceedings of the 3rd International Workshop Texture Analysis and Synthesis (Texture 2003), Heriot-Watt University, Edinburgh, 2003
Y. Liu, Y. Tsin, and W. Lin. International Journal of Computer Vision 62:145–159, 2005
R. Picard, C. Graszyk and S. Mann et al. VisTex Database. MIT Media Lab, Cambridge, USA, 1995
A. Rosenfeld and J.L. Pfaltz. Journal of ACM 13:471–494, 1966
P. Rosin. Pattern Recognition 34:2083–2096, 2001
S. Roth and M.J. Black. Fields of experts: A framework for learning image priors. In Proceedings of IEEE CS Conference on Computer Vision Pattern Recognition (CVPR 2005), volume 2. IEEE CS Press, Los Alamitos, 2005
D. Schattschneider. American Mathematical Monthly 85:439–450, 1978
A. Srivastava, X. Liu and U. Grenander. IEEE Transactions on Pattern Analysis Machine Intelligence 24:1200–1214, 2002
M. Varma and A. Zisserman. Classifying images of materials: Achieving viewpoint and illumination independence. In Proceedings of the European Conference on Computer Vision (ECCV 2002), pt. III, volume 2352, LNCS. Springer, Berlin Heidelberg New York, 2002
K. Voss and H. Suesse. IEEE Transactions on Pattern Analalysis and Machine Intelligence 19:80–84, 1997
L. Wei and M. Levoy. Fast texture synthesis using tree-structured vector quantization. In Proceedings of the ACM Computer Graphics Conference, SIGGRAPH 2000. ACM Press/Addison Wesley, Longman, New York, 2000
G. Winkler. Image Analysis, Random Fields and Dynamic Monte Carlo Methods. Springer, Berlin Heidelberg New York, 1995
A. Zalesny and L.J. Van Gool. A compact model for viewpoint dependent texture synthesis. In Proceedings of the Second European Workshop on 3D Structure from Multiple Images of Large-Scale Environments (SMILE 2000: Revised Papers). Springer, Berlin Heidelberg New York, 2001
S.C. Zhu, C.E. Guo, Y. Wang, and Z. Xu. International Journal of Computer Vision 62:121–143, 2005
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Gimel'farb, G., Zhou, D. (2008). Texture Analysis by Accurate Identification of a Generic Markov–Gibbs Model. In: Bunke, H., Kandel, A., Last, M. (eds) Applied Pattern Recognition. Studies in Computational Intelligence, vol 91. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-76831-9_9
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