改进的基于灰度级的模糊C均值图像分割算法

赵战民; 朱占龙; 王军芬

doi:10.3788/YJYXS20203505.0499

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改进的基于灰度级的模糊C均值图像分割算法

图像处理 | 更新时间：2020-08-12

- 改进的基于灰度级的模糊C均值图像分割算法
- Improved fuzzy C-means algorithm based ongray-level for image segmentation
- 液晶与显示 2020年35卷第5期页码：499-507
- 作者机构：
  
  1.河北地质大学信息工程学院, 河北石家庄 050031
  2.河北地质大学人工智能与机器学习研究室, 河北石家庄 050031
- 作者简介：
  
  [ "赵战民(1979-), 男, 河北保定人, 硕士, 讲师, 2010年于河北科技大学获得硕士学位, 主要从事智能仪器、机器视觉方面的研究。E-mail:zhaozhanmin@hgu.edu.cn" ]
  [ "朱占龙(1984-), 男, 河北石家庄人, 博士, 讲师, 2015年于东南大学获得博士学位, 主要从事图像处理算法研究。E-mail:zhuzl@hgu.edu.cn" ]
- 基金信息：
  
  河北省高等学校科学技术研究项目(BJ2018029);河北省教育厅重点项目(ZD2018212);河北地质大学博士科研启动基金(BQ201606)
- DOI：10.3788/YJYXS20203505.0499
  中图分类号： TP391
- 收稿日期：2019-10-21，
  
  修回日期：2020-01-06，
  
  录用日期：2020-1-6，
  
  纸质出版日期：2020-05-05
- 稿件说明：
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赵战民, 朱占龙, 王军芬. 改进的基于灰度级的模糊C均值图像分割算法[J]. 液晶与显示, 2020,35(5):499-507.

Zhan-min ZHAO, Zhan-long ZHU, Jun-fen WANG. Improved fuzzy C-means algorithm based ongray-level for image segmentation[J]. Chinese journal of liquid crystals and displays, 2020, 35(5): 499-507.
赵战民, 朱占龙, 王军芬. 改进的基于灰度级的模糊C均值图像分割算法[J]. 液晶与显示, 2020,35(5):499-507. DOI： 10.3788/YJYXS20203505.0499.

Zhan-min ZHAO, Zhan-long ZHU, Jun-fen WANG. Improved fuzzy C-means algorithm based ongray-level for image segmentation[J]. Chinese journal of liquid crystals and displays, 2020, 35(5): 499-507. DOI： 10.3788/YJYXS20203505.0499.

摘要

基于灰度级的模糊C均值算法是一种快速的图像分割算法。因为无损检测图像灰度分布不均衡，该算法不能有效分割图像中的目标与背景，故提出一种改进的基于灰度级的模糊C均值算法（IFCMG）。首先，利用灰度级像素数和隶属度构造类的总隶属度表达式并将其融入目标函数中以均衡化目标像素和灰度像素对目标函数的贡献。接着，推导基于新目标函数的隶属度和聚类中心。然后，考虑到类的密度也会影响聚类结果，设计类的紧密度表征形式并将其融入聚类进程。最后，采用无损检测图像进行分割实验。对于每幅图像，本文算法具有较高的F_value指标值。利用综合评价公式对所有F_value值进行评价，本文算法综合评价值比对比算法分别高出26.13%，16.46%，13.75%，25.10%。本文算法能够有效分割具有灰度分布不均衡特征的无损检测图像，扩展了基于灰度级的模糊C均值聚类算法的应用范围。

Abstract

Fuzzy c-means algorithm based on gray-level is a fast image segmentation algorithm

which cannot effectively segment the object pixels and background pixels of the non-destructive testing (NDT) image with the characteristics of unbalanced gray distribution. Then an improved fuzzy C-means algorithm based on gray-level (IFCMG) is proposed. Firstly

the expression of total membership degree of each cluster is constructed by using pixel numbers and membership degrees of gray-level

and it is integrated into the objective function

which can equalize the contribution of the object pixels and background pixels to the objective function. Secondly

the new membership degree and cluster center are strictly deduced. And then

considering that the density of clusters also affects the clustering results

we design the formula of compactness and integrate it into the clustering process. Finally

the NDT images are used for segmentation experiment. For each image

IFCMG has higher index values of F_value when the images are disturbed by different noise levels. We comprehensively evaluate the values of F_value obtained above

and find that the comprehensively evaluation value of the proposed algorithm is 26.13%

16.46%

13.75% and 25.10% higher than those of the comparison algorithms

respectively. The proposed algorithm can effectively segment NDT images with unbalanced gray distribution

which expands the application scope of fuzzy C-means algorithm based on gray-level.

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references

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