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Volume 24 Issue 8
Aug.  2002
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Jin Lizuo, Yuan Xiaohui, Zhao Yifan, Xia Liangzheng. Image segmentation through maximizing fuzzy partition entropy of 2-D histogram[J]. Journal of Electronics & Information Technology, 2002, 24(8): 1040-1048.
Citation: Jin Lizuo, Yuan Xiaohui, Zhao Yifan, Xia Liangzheng. Image segmentation through maximizing fuzzy partition entropy of 2-D histogram[J]. Journal of Electronics & Information Technology, 2002, 24(8): 1040-1048.

Image segmentation through maximizing fuzzy partition entropy of 2-D histogram

  • Received Date: 2001-02-11
  • Rev Recd Date: 2001-08-16
  • Publish Date: 2002-08-19
  • In this paper a novel method is presented to segment gray level image through maximizing the fuzzy partition entropy of two-dimensional histogram. After the concept of fuzzy partition is briefly introduced first, a new definition of fuzzy partition entropy based on condition probability and condition entropy is presented. Then, the multi-dimensional triangular-norm is applied to construct generalized Cartesian product of non-interactive fuzzy sets, and also an approach for generating multi-dimensional fuzzy partition is presented. Finally, a new method for segmenting gray level image through maximizing the fuzzy partition entropy of two-dimensional histogram is put forward. Experiments are conducted on real object pictures, and the results show that the approach presented herein performs better than some classical threshold selection methods do.
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  • H.D. Cheng, J. R. Chen, J. Li, Threshold selection based on fuzzy c-partition entropy approach,Pattern Recognition, 1998, 31(7), 857 870.[2]金立左,夏良正,模糊划分熵的新定义及其在图像分割中的应用,红外与毫米波学报,2000,19(3),219-223.[3]A.S. Abutaleb, Thresholding of gray-level pictures using two-dimensional entropy, Computer Vision, Graphics and Image Processing, 1989, 47(1), 22-32.[4]N. Otsu, A threshold selection method from gray-level histogram, IEEE Trans. on SMC, 1979,9(1), 62 66.[5]L.A. Zadeh, Probability measures of fuzzy events, J. Math. Anal. Appl., 1968, 23(3), 421-427.[6]E.H. Ruspini, A new approach to clustering, Inform. Control, 1969, 15(1), 22-32.[7]D. Dumitrescu, Fuzzy measures and the entropy of fuzzy partitions, J. Math. Anal. Appl., 1993,176(2), 359-373.[8]汪培庄,李洪兴,模糊系统理论与模糊计算机,北京,科学出版社,1996,79-81.[9]L.A. Zadeh, The concept of a linguistic variable and its application to approximate reasoning-I,Inform. Sci., 1975, 8(3), 199-249.[10]D. Dubois, H. Prade, Additions of interactive fuzzy numbers, IEEE Trans. on Autom. Control,1981, 26(4), 926-936.[11]A.D. Brink, Thresholding of digital images using two-dimensional entropies, Pattern Recognition,1992, 25(8), 803-808.
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