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计算机研究 -基于模糊聚类的图像分割算法研究.pdf
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计算机研究 -基于模糊聚类的图像分割算法研究.pdf
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摘 要
图像分割就是将感兴趣的目标从背景中提取出来的过程,它是图像处理到图
像分析的一个重要步骤,在图像工程中占有十分重要的位置。图像分割已经广泛
应用于计算机视觉、模式识别等许多领域。对图像分割的研究具有非常重要的意
义。
由于图像本身存在不确定性和复杂性,模糊聚类分析能够很好地描述这种问
题,因此将模糊聚类分析用于图像分割具有很好的效果。在众多的模糊聚类分析
方法中,模糊 C 均值(Fuzzy C-Means,FCM)聚类算法是一种比较经典的算法,
已经得到了广泛深入的研究。FCM 算法不仅避免了阈值的设定,适合于处理模糊
和不确定的问题。而且是一种无监督的聚类算法,不需要人工干预,适合于自动
分割。因此,采用 FCM 聚类算法进行图像分割已经成为一个研究的主要方向。
本文针对模糊 C 均值聚类算法在图像分割应用方面存在的一些问题进行了改进:
首先,由于传统的模糊 C 均值聚类算法没有很好利用图像自身的空间信息,
导致其对噪声十分敏感。针对这个问题,我们结合非局部均值的思想,利用图像
自身的结构空间信息,提出了一种基于非局部的模糊 C 均值图像分割算法。该算
法充分的利用了图像的空间信息,有效拟制噪声对分割结果的影响。该算法对不
同噪声下不同图像的分割结果表明,该方法具有更好的分割结果。
其次,传统模糊 C 均值图像分割算法在决定每个像素点的类标时,只是简单
的利用单个像素点和聚类中心的差异来决定,没有很好的分析其邻域像素点的类
标,在聚类中心更新时,用到了所有的像素点,这必然会导致聚类中心的偏移。
基于以上问题,我们利用主成分分析得思想,合理的利用邻域信息,来确定每个
像素点的类标;然后再利用粗糙集的思想,在每个聚类中心更新时,利用在这一
类中的像素集合和处于这一类中心边缘的像素集合,提出了基于局部 PCA 和粗糙
集的模糊 C 均值聚类算法。通过实验结果分析,该算法的分割结果优于其它对比
算法。
关键词:图像分割,模糊聚类,非局部,粗糙集
Abstract III
Abstract
Image segmentation is the process of extracting the interested target from
background, it is a key step from image processing to image analysis and a very
important position in image engineering. Image segmentation has been widely used in
computer vision, pattern recognition and many other areas. The research of image
segmentation has a very important significance.
Due to the image exists uncertainty and complexity, fuzzy clustering analysis can
well describe this problem, so the fuzzy cluster analysis used in image segmentation
has the very good effect. In many of the fuzzy clustering analysis method, the Fuzzy
C-Means (FCM) clustering is the most classic algorithm and has got extensive and
in-depth research. FCM not only avoid the threshold setting, but also very suitable for
processing fuzzy and uncertain problems. And it is a kind of unsupervised clustering
algorithm, do not need to artificial intervention, suitable for automatic segmentation.
Therefore, using FCM clustering algorithm for image segmentation has become one of
the main direction research. In this paper, aim at fuzzy c-means clustering algorithm
exist some problems in image segmentation to improve:
First of all, because the traditional fuzzy c-means clustering algorithm is not good
use of its own image spatial information, leading to it is very sensitive to noise.
According to this problem, we combined with non-local means, using image structure
space information, proposed a new method based on non-local fuzzy c-means image
segmentation algorithm. This algorithm makes full use of the image space information,
effective reducing the influence of noise to the segmentation results. The results of this
method for different types noise under different image show that it can obtain a better
segmentation results.
Secondly, the traditional fuzzy c-means image segmentation algorithm in decided
to each pixel class, only use the difference of each pixel and clustering center, it is
not suit to analysis the neighborhood pixels class mark. Update the clustering center
using all pixels in an image, this will lead to the clustering center of migration. Based
on the above problem, we use the thought of principal component analysis and using
neighborhood information reasonably, to determine each pixel class mark; Then using
the idea of rough set, in every clustering center update, use clear belong to the center
and in the center of edge pixels, and then proposed based on local PCA and rough set
IV Abstract
of fuzzy c-means clustering algorithm. Through the analysis of experimental results,
this algorithm is better than that of other contrast algorithm segmentation results.
Keywords: Image segmentation; Fuzzy clustering; Non-local; Rough set
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