|
|
Improved FCM Clustering Algorithm Based on Spatial Correlation and Membership Smoothing |
XIAO Mansheng①② XIAO Zhe① WEN Zhicheng② ZHOU Liqian② |
①(College of Science and Technology, Hunan University of Technology, Zhuzhou 412008, China)
②(School of Computer Science, Hunan University of Technology, Zhuzhou 412008, China) |
|
|
Abstract Concerning the problem that general Fuzzy C-Means (FCM) and its improved algorithm are sensitive to noise in the samples clustering and clustering boundary is not accurate enough, an improved FCM clustering algorithm based on spatial correlation is proposed. Firstly, it can improve the method of clustering center calculation and the function of distance calculation, through analyzing spatial distribution characteristics, interaction and influence value of the samples. Then, it redefines the fuzzy membership matrix through introducing a control parameter during summing membership of the samples with neighborhood information, thus realizing smoothing membership of neighborhood samples. Theoretical analysis and experimental results show that the improved algorithm has a better effect for samples with a lot of noise, and that the regional boundary value can process the image better.
|
Received: 05 July 2016
Published: 28 February 2017
|
|
Fund: The Natural Science Foundation of Hunan Province (2015JJ2047, 2016JJ5034, 2016JJ5036), The Scientific Research Project of Hunan Provincial Department of Education (15A055, 15C0403) |
Corresponding Authors:
XIAO Mansheng
E-mail: xiaomansheng@tom.com
|
|
|
|
[1] |
HE L H, WEN Y, WAN M, et al. Multi-channel features based automated segmentation of diffusion tensor imaging using an improved FCM with spatial constraints[J]. Neurocomputing, 2014, 137: 107-114. doi: 10.1016/j.neucom. 2013.09.051.
|
[2] |
肖满生, 文志诚, 张居武, 等. 一种改进隶属度函数的FCM聚类算法[J]. 控制与决策, 2015, 30(12): 2270-2274. doi: 10.13195/j.kzyjc.2014.1716.
|
|
XIAO Mansheng, WEN Zhicheng, ZHANG Juwu, et al. An FCM clustering algorithm with improved membership function[J]. Control and Decision, 2015, 30(12): 2270-2274. doi: 10.13195/j.kzyjc.2014.1716.
|
[3] |
申铉京, 何月, 张博, 等. 基于空间信息及隶属度约束的FCM图像分割算法[J]. 北京工业大学学报, 2012, 38(7): 1073-1078.
|
|
SHEN Xuanjing, HE Yue, ZHANG Bo, et al. FCM with spatial information and membership constrains for image segmentation[J]. Journal of Beijing University of Technology, 2012, 38(7): 1073-1078.
|
[4] |
杨章静. 基于邻域结构的特征提取及其在人脸识别中的应用研究[D]. [博士论文], 南京理工大学, 2014.
|
|
YANG Zhangjing. Feature extraction based on neighborhood structure and its applications to face recognition[D]. [Ph.D. dissertation], Nanjing University of Science & Engineering, 2014.
|
[5] |
仲崇峰, 刘智, 杨阳, 等. 改进的基于邻域隶属度约束的FCM图像分割算法[J]. 吉林大学学报(信息科学版), 2013, 31(6): 627-633. doi: 10.3969/j.issn.1671-5896.2013.06.012.
|
|
ZHONG Chongfeng, LIU Zhi, YANG Yang, et al. Improved FCM algorithm based on neighboring membership constraint for image segmentation[J]. Journal of Jilin University (Information Science Edition), 2013, 31(6): 627-633. doi: 10.3969/j.issn.1671-5896.2013.06.012.
|
[6] |
周文刚, 孙挺, 朱海. 一种基于自适应空间信息改进FCM的图像分割算法[J]. 计算机应用研究, 2015, 32(7): 2205-2208. doi: 10.3969/j.issn.1001-3695.2015.07.070.
|
|
ZHOU Wengang, SUN Ting, and ZHU Hai. Image segmentation algorithm based on FCM optimized by adaptive spatial information[J]. Application Research of Computers, 2015, 32(7): 2205-2208. doi: 10.3969/j.issn.1001- 3695.2015.07.070.
|
[7] |
王媛媛. 合理利用空间信息的模糊C均值脑部MR图像分割算法研究[D]. [硕士论文], 西安电子科技大学, 2012.
|
|
WANG Yuanyuan. The study of Fuzzy C-means algorithm incorporating spatial information for brain MR image segmentation[D]. [Master dissertation], Xidian University, 2012.
|
[8] |
KANNAN S R, DEVI R, RAMATHILAGAM S, et al. Effective FCM noise clustering algorithms in medical images[J]. Computers in Biology and Medicine, 2013, 43(2): 73-83. doi: 10.1016/j.compbiomed.2012.10.002.
|
[9] |
ZHU C J, YANG S Z, ZHAO Q, et al. Robust semi-supervised kernel-FCM algorithm incorporating local spatial information for remote sensing image classification[J]. Journal of the Indian Society of Remote Sensing, 2014, 42(1): 35-49. doi: 10.1007/s12524-013-0296-x.
|
[10] |
QAMAR U. A dissimilarity measure based fuzzy c-means (FCM) clustering algorithm[J]. Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology, 2014, 26(1): 229-238. doi: 10.3233/IFS-120730.
|
[11] |
孟海东, 马娜娜, 宋宇晨, 等. 基于密度函数加权的模糊C均值聚类算法研究[J]. 计算机工程与应用, 2012, 48(27): 123-127. doi: 10.3778/j.issn.1002-8331.2012.27.026.
|
|
MENG Haidong, MA Nana, SONG Yuchen, et al. Research on Fuzzy C-Means clustering algorithm based on density function weighted[J]. Computer Engineering and Applications, 2012, 48(27): 123-127. doi: 10.3778/j.issn.1002-8331.2012.27. 026.
|
[12] |
FALLAHI A, KHOTANLOUT H, POOYAN M, et al. Segmentation of uterine using neighborhood information affected possibilistic FCM and gaussian mixture model in uterine fibroid patients MRI[J]. Biomedical Engineering: Applications, Basis and Communications, 2014, 26(1): 1450010. doi: 10.4015/S1016237214500100.
|
[13] |
CUI W C, WANG Y, FAN Y Y, et al. Localized FCM clustering with spatial information for medical image segmentation and bias field estimation[OL]. http://dx.doi. org/10.1155/2013/930301, 2013.
|
[14] |
HUANG H, TANG Q F, and LIU Z. Adaptive correction forecasting approach for urban traffic flow based on Fuzzy C-Mean clustering and advanced neural network[EB/OL]. http://dx.doi.org/10.1155/2013/195824, 2013.
|
[15] |
周绍光, 贾凯华, 殷楠. 一种利用像素邻域信息的模糊聚类图像分割算法[J]. 测绘科学, 2013, 38(1): 153-155. doi: 10.3969/ j.issn.1671-0428.2008.09.006.
|
|
ZHOU Shaoguang, JIA Kaihua, and YIN Nan. An improved fuzzy C-means algorithm using pixel’s neighborhood information in image segmentation[J]. Science of Surveying and Mapping, 2013, 38(1): 153-155. doi: 10.3969/j.issn. 1671-0428.2008.09.006.
|
[16] |
杨晖, 尹凤杰. 结合空间信息的FCM脑图像分割[J]. 辽宁大学学报(自然科学版), 2014, 41(3): 235-239. doi: 10.3969/ j.issn.1000-5846.2014.03.008.
|
|
YANG Hui and YIN Fengjie. The brain image segmentation based on FCM with spatial information[J]. Journal of Liaoning University (Natural Sciences Edition), 2014, 41(3): 235-239. doi: 10.3969/j.issn.1000-5846.2014.03.008.
|
[17] |
杨同峰. 基于空间关系的图像检索与分类研究[D]. [博士论文], 山东大学, 2013.
|
|
YANG Tongfeng. Research on image retrieval and classification based on spatial relational ships[D]. [Ph.D. dissertation], Shandong University, 2013.
|
|
|
|