用于分割无损检测图像的快速模糊C均值算法  

Fast Fuzzy C Means Algorithm for Segmentation of Non-destructive Testing Image

作　　者：王军芬 刘培跃[3] 董建彬 朱占龙 WANG Junfen;LIU Peiyue;DONG Jianbin;ZHU Zhanlong(School of Information Engineering,Hebei GEO University,Shijiazhuang 050031,China;Intelligent Sensor Network Engineering Research Center of Hebei Province,Hebei GEO University,Shijiazhuang 050031,China;Department of Electromechanics Engineering,Shijiazhuang Vocational Technology Institute,Shijiazhuang 050081,China)

机构地区：[1]河北地质大学信息工程学院,河北石家庄050031 [2]河北地质大学智能传感物联网技术河北省工程研究中心,河北石家庄050031 [3]石家庄职业技术学院机电工程系,河北石家庄050081

出　　处：《郑州大学学报（工学版）》2022年第6期42-48,共7页Journal of Zhengzhou University（Engineering Science）

基　　金：国家自然科学基金资助项目(61806069);河北省高等学校科学技术研究项目(QN2020263)。

摘　　要：无损检测图像中目标类和背景类差异较大,模糊C均值算法无法有效地将目标分割出来,因此提出一种用于分割无损检测图像的快速模糊C均值算法。在聚类过程中,引入局部空间信息和灰度信息,以提高算法的鲁棒性;用条件值表征样本容量来平衡不同大小的类群,以解决类大小敏感问题;基于新的约束条件得到新的隶属度和聚类中心表达式,并给出算法具体步骤;对预处理后图像的灰度级进行分类,图像分割所需要的时间不再取决于图像的尺寸,而是图像的灰度级数,大幅度降低了算法的时间复杂度。采用类大小差异较大的合成图像和无损检测图像进行仿真实验,以分割精度(SA)、F-value、G-mean以及图像分割所需要的时间为评价指标来评价算法的性能。实验结果表明:在原始测试图像被高斯噪声、椒盐噪声、瑞利噪声和乘性噪声污染时,与其他模糊聚类算法相比,本文算法具有更好的鲁棒性,分割精度更高,为97.93%,F-value为88.50%,G-mean为93.83%,图像分割时间也更少,为14.06 ms。实验证明了本文算法的有效性。The Fuzzy C means algorithm cannot effectively segment object pixels from a non-destructive testing(NDT)image because of the great difference between the background and the object region.Therefore,a fast fuzzy C means algorithm for segmentation of NDT image was proposed in this study.In the process of clustering,local spatial information and gray information were introduced to improve the robustness of the algorithm.The condition value was used to represent the sample size to balance clusters of different sizes and solve the cluster-size sensitivity problem.Based on the new constraints,a new form of membership degree and cluster center representation could be obtained.The execution time of image segmentation was no longer determined by the size of the image,but by the gray level of the image.The computational complexity of the algorithm was greatly reduced.NDT images and synthetic images with a large difference in cluster size were used for testing.The segmentation accuracy(SA),F-value,G-mean and the execution time of image segmentation were used to evaluate the performance of algorithms.The experimental results showed that when the original test image was polluted by Gaussian noise,salt and pepper noise,Rayleigh noise and multiplicative noise,the proposed algorithm had better robustness,SA is 97.93%,F-value is 88.50%,G-mean is 93.83%,the execution time of image segmentation was less,about 14.06 ms.The simulation tests could verify the effectiveness of the proposed algorithm.

关 键 词：模糊C均值算法 图像分割 无损检测 鲁棒性 

分 类 号：TP391.4[自动化与计算机技术—计算机应用技术]