A Survey of Image Edge Detection Based on Grey Theory

Abstract:

Due to the feasibility and the efficiency in image engineering, Grey Theory proposed by Julong DENG has been paid more attention by many researchers at home and abroad. The feature of the theory lays in the fact that modeling or analysis is easy to implement even in the condition that only few samples are available. Many research fruits on digital image are produced so far. Focusing on edge detection of digital image, this paper gives a survey of the application and predicts some future developments after some basic theory are described.

• Periodical: Advanced Materials Research (Volumes 301-303)
• Pages: 853-858
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.301-303.853
• Online since: July 2011
• Authors: Hong Peng Tian
• Keywords: Edge Detection, Gray Theory, Grey Prediction, Grey Relational Analysis (GRA)

References

[1] Julong DENG. The basic method of grey system [M]. Wuhan: Huazhong University of Science and Technology Press, 1996. 5.

[2] Miao MA, Hongpeng TIAN, Yanning ZHANG. Research progress on the application of grey theory in image engineering [J]. Journal of Image and Graphics, 2007, 12(11): 1934-(1951).

[3] Rengui He, Dengshan HUANG, Jinbing CHEN. Image edge detection based on grey prediction model [J]. Journal of Northwestern Polytechnical University, 2005, 23(1): 15-18.

[4] Peng HU, Zhongliang FU, Bingsheng LI. Edge detection based on grey prediction model [J]. Computer Engineering, 2006, 32(22): 175-177.

[5] Chenhua HUANG, Cunxi XIE, Tie ZHANG. Edge detection algorithm based on grey-model whitening response [J]. Journal of South China University of Technology (Natural Science Edition), 2008, 36(8): 33-36.

[6] Songyun XIE, Pengwei WANG, Yubin XIE. New method of image edge detection based on grey model [J]. Journal of Northwestern Polytechnical University, 2008, 26(5): 603-606.

[7] Songyun XIE, Yubin XIE; Wei YANG, et al. An improved algorithm of image edge detection based on GM(1, 1) Model[J]. Journal of Northwestern Polytechnical University, 2009, 27(6): 817-827.

[8] Zhiyu ZHOU, Lei ZHENG, Jinsong XIA, Weicheng YANG, Jingsheng LEI. Image edge detection based on improved grey prediction model [J]. Journal of Computational Information Systems, 2010, 6(5): 1501-1507.

[9] Miao MA, Yangyu FAN, Songyun XIE, et al. A novel algorithm of image edge detection based on grey system theory [J]. Journal of Image and Graphics, 2003, 8 (10): 1136-1139.

[10] Zihua ZHENG, Jiazhen CHEN, Liyong CHEN. An algorithm of image edge detection based on gray correlation analysis [J]. Journal of Fujian Normal University (Natural Science), 2004, 20(4): 20-23.

[11] Zihua ZHENG, Jiazhen CHEN, Yuekang ZHONG. An algorithm of image edge detection based on gray weighted absolute correlation analysis [J]. Computer Knowledge and Technology, 2006, (7): 189-190.

[12] Zihua ZHENG, Jiazhen CHEN, Yuekang ZHONG, et al. Image edge detection based on wavelet transform and gray system theory [J]. Computer and Modernization, 2010, (2): 97-100.

[13] Peng HU, Zhongliang FU, Nan CHEN. Image edge detection based on gray system theory [J]. Geometrics and Information Science of Wuhan University, 2006, 31(5): 411-414.

[14] Long ZHOU. Investigate on image's edge detection of pests in stored grain based on grey relational analysis [J]. Computer Engineering and Applications, 2005, 41(14): 215-217.

[15] Long ZHOU, Mianyun CHEN. Image's edge detection of stores of pets based on grey relational system [J]. Journal of Huazhong University of Science and Technology, 2005, 33(4): 61-63.

[16] Long ZHOU, Yi MOU. Application of grey relational analysis to line detection [J]. Journal of Huazhong University of Science and Technology, 2009, 37(2): 68-700.

[17] Dudu ZHONG, Jie YAN. An image edge detection algorithm based on grey relational analysis and Canny operator [J]. Computer Engineering and Applications, 2006, 42(28): 68-71.

[18] Kangtai WANG, Wenzhan DAI. Approach of image edge detection based on Sobel operators and grey relation [J]. Journal of Computer Applications, 2006, 26(5): 1035-1036.

[19] Juntao SHI, Ying ZHU, Xiaoli CHU, et al. A novel approach of edge detection based on gray correlation degree and Prewitt operator [J]. Microcomputer Information, 2010, 26(10-2): 214-216.

DOI: 10.1109/iciss.2010.5656999

[20] Junfeng LI, Wenzhan DAI. Image edge detection and applied research Based on the grey correlation and Log operators[C]. The 25th Chinese Control Conference, 2007: 480-484.

DOI: 10.1109/chicc.2006.4346839

[21] Yongli GAO, Wenge XUE. Studies of the absolute correlation degree image border detecting method based on grey system theory [J]. Journal of Chuxiong Normal University, 2009, 24(6): 13-16.

[22] Yongli GAO, Wenge XUE. A new method based on Deng interrelatedness picture edge examination [J]. Computer Systems & Applications, 2010, 19(2): 50-53.

[23] Juan LIANG, Yan LI. Image edge detection based on the grey relation analysis and fuzzy reasoning [J]. Computer & Information Technology, 2010, (4): 55-59.

[24] Gan LI. Study on Algorithms of the Pavement Image Crack Detection based on the Grey System Theory [D]. Wuhan: Wuhan University of Technology, (2010).

[25] Naiqiang CHU. Algorithm Research of Edge Detection to Digital Image based on Grey System Theory [D]. Wuhan: Wuhan University of Technology, (2009).