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A New Approach to Image Segmentation via Fuzzification of Rènyi Entropy of Generalized Distributions

Authors: Samy Sadek, Ayoub Al-Hamadi, Axel Panning, Bernd Michaelis, Usama Sayed

Abstract:

In this paper, we propose a novel approach for image segmentation via fuzzification of Rènyi Entropy of Generalized Distributions (REGD). The fuzzy REGD is used to precisely measure the structural information of image and to locate the optimal threshold desired by segmentation. The proposed approach draws upon the postulation that the optimal threshold concurs with maximum information content of the distribution. The contributions in the paper are as follow: Initially, the fuzzy REGD as a measure of the spatial structure of image is introduced. Then, we propose an efficient entropic segmentation approach using fuzzy REGD. However the proposed approach belongs to entropic segmentation approaches (i.e. these approaches are commonly applied to grayscale images), it is adapted to be viable for segmenting color images. Lastly, diverse experiments on real images that show the superior performance of the proposed method are carried out.

Keywords: Entropy of generalized distributions, entropy fuzzification, entropic image segmentation.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1060705

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References:


[1] W.Y. Ma and B.S. Manjunath, "Edge flow: A framework of boundary detection and image segmentation". In: IEEE Conference on Computer Vision and Pattern Recognition, San Juan, Puerto Rico, 1997, pp. 744- 749.
[2] C.Y. Xu and L.P. Jerry, "Snakes, shapes, and gradient vector flow," IEEE Trans. Image Process, 7 (3), 1998, pp. 359-369.
[3] Y.N. Deng, B.S. Manjunath, "Unsupervised segmentation of color- texture regions in images and video," IEEE Trans. Pattern Anal. Mach. Intell, 23 (8), 2001, 800-810.
[4] S.C. Zhu and Y. Alan, "Region competition: Unifying snakes, region growing, and Bayes/MDL for multiband image segmentation," IEEE Trans. Pattern Anal. Mach. Intell. 18 (9), 1996, pp. 884-900.
[5] G.-P Daniel., G. Chuang, "Extensive partition operators, gray-level connected operators, and region merging/classification segmentation algorithms: Theoretical links," IEEE Trans. Image Process. 10 (9), 2001, pp. 1332-1345.
[6] K.S. Punam and K.U Jayaram. "Optimum image thresholding via class uncertainty and region homogeneity," IEEE Trans. Pattern Recog. Mach. Intell. 23 (7), 2001, pp. 689-706.
[7] Y. Zhang, B. Michael and S. Stephen, "Segmentation of brain images through a hidden Markov random field model and the expectationmaximization algorithm," IEEE Trans. Med. Image, 20 (1), 2001, pp. 45- 57.
[8] J. Mohanalin, P. K. Kalra, N. Kumar, "Tsallis Entropy based Microcalcification Segmentation", ICGST-GVIP Journal, ISSN 1687- 398X, Volume (9), Issue (I), 2009.
[9] C. Tsallis, S. Abe, Y. Okamoto, "Nonextensive Statistical Mechanics and its Applications," In: Series Lecture Notes in Physics. Springer, Berlin, 2001.
[10] M. Portes de Albuquerque, I.A. Esquef, A.R. Gesualdi "Image thresholding using Tsallis entropy," in: Pattern Recognition Letters, vol. 25, 2004, pp. 1059-1065.
[11] C. E. Shannon and W. Weaver, "The Mathematical Theory of Communication," Urbana, University of Illinois Press, 1949.
[12] A. Rènyi, "On a theorem of P. Erdos and its application in information theory," Mathematica, vol. 1, 1959, pp. 341-344.
[13] D. Strzałka and F. Grabowski, "Towards possible q-generalizations of the Malthus and Verhulst growth models", Physica A, Vol.387, Issue 11, 2008, pp. 2511-2518.
[14] B. Singh and A. Partap, "Edge Detection in Gray Level Images based on the Shannon Entropy," Journal. of Computer Sci. 4 (3), 2008, pp. 186- 191.
[15] C. Tsallis and M.P Albuquerque, "Are citations of scientific paper a case of nonextensivity?" Euro. Phys. J. B 13, 2000, pp. 777-780.
[16] L. A. Zadeh, "Fuzzy sets," Inform. and Control, vol. 8, no. 1, pp.338- 353, 1965.
[17] W. Tatsuaki and S. Takeshi "When nonextensive entropy becomes extensive," Physica A 301, 2001, pp. 284-290.
[18] R. C. Gonzalez and R. E. Woods, "Digital Image Processing Using Matlab" Prentice Hall, Inc, Upper Saddle River, NJ, 2nd Edition, 2003.
[19] I. Levner and Hong Zhang, "Classification-Driven Watershed Segmentation," IEEE Transactions on Image Processing vol. 16, Issue 5, May 2007, pp.1437-1445.