Spatially non-homogeneous potts model parameter estimation on higher-order neighborhood systems by maximum pseudo-likelihood

This paper addresses the problem of maximum pseudo-likelihood estimation of the non-homogeneous Potts image model parameters using higher-order non-causal neighborhood systems in a computationally efficient way. The motivation is the development of a new methodology for contextual classification that uses combination of sub-optimal MRF algorithms for multispectral image classification, which requires accurate parameters estimation. Our objective is to make multispectral image contextual classification fully operational without human intervention. The results show that the method is consistent with real data and in the presence of random noise.

[1]  Jue Wu,et al.  A Segmentation Model Using Compound Markov Random Fields Based on a Boundary Model , 2007, IEEE Transactions on Image Processing.

[2]  Stan Z. Li Markov Random Field Modeling in Image Analysis , 2009, Advances in Pattern Recognition.

[3]  Nelson D. A. Mascarenhas,et al.  SAR image filtering with the ICM algorithm , 1994, Proceedings of IGARSS '94 - 1994 IEEE International Geoscience and Remote Sensing Symposium.

[4]  Tatsuya Yamazaki,et al.  Image classification using spectral and spatial information based on MRF models , 1995, IEEE Trans. Image Process..

[5]  E. Ising Beitrag zur Theorie des Ferromagnetismus , 1925 .

[6]  Stan Z. Li,et al.  Markov Random Field Modeling in Image Analysis , 2001, Computer Science Workbench.

[7]  Anil K. Jain,et al.  Random field models in image analysis , 1989 .

[8]  A. Waks,et al.  Restoration of noisy regions modeled by noncausal Markov random fields of unknown parameters , 1990, [1990] Proceedings. 10th International Conference on Pattern Recognition.

[9]  D. Anderson,et al.  Algorithms for minimization without derivatives , 1974 .

[10]  Robert M. Gray,et al.  Stochastic Image Processing , 2004 .

[11]  Paulo Estevão Cruvinel,et al.  X- and gamma -rays computerized minitomograph scanner for soil science , 1990 .

[12]  Anne H. Schistad Solberg,et al.  Flexible nonlinear contextual classification , 2004, Pattern Recognit. Lett..