A region Markov random field model with integrated edge feature(IEFRMRF)is proposed to solve the problem that existing region Markov random fields(MRF)model often leads to produce blur edge in image segmentation. The proposed model utilizes edge templates to extract edge features of an image
and builds edge prior constraints on local regions. Space constraints among local regions of the image are used to express local Gaussian statistical features of the image
and the Gaussian parameters are estimated by maximizing expectations. Then a new local adaptive neighborhood information Gaussian mixture model(GMM)is constructed and an algorithm is proposed to estimate its parameters. The region MRF model that preserves image edge is then built based on the Bayesian theory. The region belief propagation algorithm is applied to globally optimize the IEFRMRF model. Local statistical features are transferred to the image of the global
and image segmentation labels are estimated by MAP criterion during the optimization. Experiments on an artificial noise image and comparisons with the classical Gaussian MRF model and the local region Gaussian MRF model show that the IEFRMRF model not only increases segmentation accuracy rate by 47.9% and 21.4%
respectively
but also acquires sharper edge of segmentation result. The validity of the proposed model is also verified by natural image segmentation experiments.
YAO Tingting, XIE Zhao. Top-down inference with relabeling and mapping rules in hierarchical MRF for image segmentation[J]. Acta Automatica Sinica, 2012, 38(9): 1-13.
CHEN A Y C, CORSO J J, WANG L. HOPS: efficient region labeling using higher order proxy neighborhoods[C]∥Proceedings of International Conference on Pattern Recognition. Los Alamitos, CA, USA: IEEE Computer Society, 2008: 1-4.
XU Shengjun, HAN Jiuqiaug, ZHAO Liaug, et al. Algorithm of minimizing local region energy for image segmentation[J]. Journal of Xi'an Jiaotong University, 2011, 45(8): 7-12.
GAO Qi, ROTH S. How well do filter-based MRFs model natural images?[C]∥ Proceedings of DAGM/OAGM Symposium. Berlin Germany: Springer, 2012: 62-72.
ZHANG Zhi, WANG Runsheng. Nature image restoration based on edge preserving FoE model[J]. Progress in Natural Science, 2009, 19(9): 1004-1013.[6] KORAY K, ERCAN E K, BÜLENT S. Bayesian separation of images modeled with MRF using MCMC[J]. IEEE Transactions Image Process, 2009, 18(5): 982-994.
ZHANG Haichao, ZHANG Yanning, LI Haisen, et al. Generative Bayesian image super resolution with natural image prior[J]. IEEE Transactions on Image Processing, 2012, 21(9): 4054-4066.
KATSUKI T, TORII A, INOUE M. Posterior mean super-resolution with a causal Gaussian Markov random field prior[J]. IEEE Transactions on Image Processing, 2012, 21(7): 3182-3193.
LI S Z. Markov random field modeling in computer vision[M]. Berlin, Germany: Springer-Verlag, 2001.
LEUNG Shingyu, LIANG Gang, SOLNA K, et al. Expectation-maximization algorithm with local adaptivity[J]. SIAM Journal on Imaging Sciences, 2009, 2(3): 834-857.
LIN Jun, ZHANG Haili. Image segmentation using a local GMM in a variational framework[J]. Journal of Mathematical Imaging and Vision, 2013, 46(2): 161-176.
GREENSPAN H, RUF A, GOLDBERGER J. Constrained Gaussian mixture model framework for automatic segmentation of MR-brain image[J]. IEEE Transactions on Medical Imaging, 2006, 25(9): 1233-1245.
TANG Hui, DILLENSEGER J L, LUO Limin. A vectorial image soft segmentation method based on neighborhood weighted Gaussian mixture model[J]. Computerized Medical Imaging and Graphics, 2009, 33(8): 644-650.
ZHU Feng, LUO Limin, SONG Yuqing, et al. Adaptive spatially neighborhood information Gaussian mixture model for image segmentation[J]. Journal of Computer Research and Development, 2011, 48(11): 2000-2007.
YEDIDIA J, FREEMAN W, WEISS Y. Generalized belief propagation[C]∥Proceedings of Conference on Advances in Neural Information Processing Systems. Cambridge, MA, USA: MIT Press, 2000: 689-695.