[1] Sun Wei, Xia Liangzheng,. A new fuzzy edge detection algorithm [J]. Journal of Southeast University (English Edition), 2003, 19 (2): 132-135. [doi:10.3969/j.issn.1003-7985.2003.02.007]

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A new fuzzy edge detection algorithm()

一种新的模糊边缘检测算法

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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

19

Issue:

2003 2

Page:

132-135

Research Field:

Computer Science and Engineering

Publishing date:

2003-06-30

Info

Title:

A new fuzzy edge detection algorithm

一种新的模糊边缘检测算法

Author(s):

Sun Wei, Xia Liangzheng

Department of Automatic Control Engineering, Southeast University, Nanjing 210096, China

孙伟, 夏良正

东南大学自动控制系, 南京 210096

Keywords:

edge detection;  fuzzy entropy;  image segmentation;  fuzzy partition

边缘检测;  模糊熵;  图像分割;  模糊划分

PACS:

TP391.4

DOI:

10.3969/j.issn.1003-7985.2003.02.007

Abstract:

Based upon the maximum entropy theorem of information theory, a novel fuzzy approach for edge detection is presented. Firstly, a definition of fuzzy partition entropy is proposed after introducing the concepts of fuzzy probability and fuzzy partition. The relation of the probability partition and the fuzzy c-partition of the image gradient are used in the algorithm. Secondly, based on the conditional probabilities and the fuzzy partition, the optimal thresholding is searched adaptively through the maximum fuzzy entropy principle, and then the edge image is obtained. Lastly, an edge-enhancing procedure is executed on the edge image. The experimental results show that the proposed approach performs well.

基于信息论中最大熵原理, 提出了一种新的模糊边缘检测算法.首先介绍了模糊概率、用条件概率与条件熵定义模糊划分熵的概念以及模糊划分的原理.算法利用了自然划分以及梯度图像模糊划分的关系, 在条件概率与模糊划分熵的基础上, 通过最大模糊熵原则实现图像分割中最优阈值的自动提取, 从而实现图像的边缘检测.对不同测试图像的边缘检测结果进行比较, 表明了该算法的有效性.

References:

[1] Bezdek J C, Chandrasekhar R, Attikiouzel Y. A geometric approach to edge detection [J]. IEEE Transaction on Fuzzy Systems, 1998, 6(1):52-75.
[2] Ho K H L.FEDGE — fuzzy edge detection by fuzzy categorization and classification of edges[A]. In: IJCAI’95 Workshop[C].Montral, Canada, 1995. 182-196.
[3] Kuo Y H, Lee C S, Liu C C.A new fuzzy edge detection method for image enhancement [A].In: Proceedings of the Sixth IEEE International Conference on Fuzzy Systems [C]. Barcelona, Spain, 1997. 1069-1074.
[4] EI-Khamy S E, Ghaleb L, EI-Yamany N A. Fuzzy edge detection with minimum fuzzy entropy criterion [A]. In; Electrotechnical Conference[C]. Mediterranean, Melecon, 2002. 498-505.
[5] Jin Lizuo, Xia Liangzheng. A new definition of fuzzy partition entropy and its application to image segmentation [J]. Journal of Infrared and Millimeter Waves, 2000, 19(3):219-223.(in Chinese)

Memo

Memo:

Biographies: Sun Wei(1977—), male, graduate; Xia Liangzheng(corresponding author), male, professor, lzxia@seu.edu.cn.

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