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DCT子空间的邻域加权模糊C均值聚类算法
引用本文:彭婷,王福龙.DCT子空间的邻域加权模糊C均值聚类算法[J].计算机系统应用,2015,24(9):97-104.
作者姓名:彭婷  王福龙
作者单位:广东工业大学 应用数学学院, 广州 510520;广东工业大学 应用数学学院, 广州 510520
基金项目:广东省自然科学基金(S2011040004273)
摘    要:模糊C均值聚类是一种有效的图像分割方法, 但存在因忽略空间上下文信息和结构信息而易为噪声所干扰的现象. 为此提出了DCT子空间的邻域加权模糊C均值聚类方法. 该方法首先结合分块的思想, 对图像块进行离散余弦变换(discrete cosine transform,DCT), 建立了一个基于图像块局部信息的相似性度量模型; 然后定义目标函数中的欧式距离为邻域加权距离; 最后将该方法应用于加噪的人工合成图像、自然图像和MR图像. 实验结果表明, 该方法能够获得较好的分割效果, 同时具有较强的抗噪性.

关 键 词:模糊C均值聚类  图像分割  离散余弦变换  图像块
收稿时间:1/4/2015 12:00:00 AM
修稿时间:3/9/2015 12:00:00 AM

Neighbourhood Weighted Fuzzy C-means Clustering Algorithm Based on DCT Subspace
PENG Ting and WANG Fu-Long.Neighbourhood Weighted Fuzzy C-means Clustering Algorithm Based on DCT Subspace[J].Computer Systems& Applications,2015,24(9):97-104.
Authors:PENG Ting and WANG Fu-Long
Affiliation:Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China;Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China
Abstract:Fuzzy c-means clustering is an effective method used in image segmentation, but it is corrupted by noise easily because of ignoring spatial contextual information and structure information.A neighbourhood weighted fuzzy c-means clustering method based on DCT subspace is proposed. This papper first applies the discrete cosine transform (DCT) on image patches combined with the idea of partitioning, it establishes a similarity measure model based on image pacthes and local information. Then defines the neighbourhood-weighted distance to replace the Euclidean distance in the objective function. Finally, applied this method to synthetic image with different noises, real-world images, as well as magnetic resonance images. The experimental results show that the proposed algorithm can obtain more precise segmentation results and has the stronger anti-noise property.
Keywords:fuzzy c-means clustering  image segmentation  discrete cosine transform  image patches
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