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基于二维Renyi交叉熵的刀具磨损图像分割
引用本文:马英辉,吴一全.基于二维Renyi交叉熵的刀具磨损图像分割[J].电子测量与仪器学报,2016,30(12):1869-1876.
作者姓名:马英辉  吴一全
作者单位:1. 宿迁学院信息工程学院 宿迁 223800;南京航空航天大学 电子信息工程学院 南京 211106;2. 南京航空航天大学 电子信息工程学院 南京 211106;西华大学 制造与自动化省高校重点实验室 成都 610039;华中科技大学 数字制造装备与技术国家重点实验室 武汉 430074
基金项目:国家自然科学基金(61573183),西华大学制造与自动化省高校重点实验室开放课题(2014),华中科技大学数字制造装备与技术国家重点实验室开放基金(DMETKF2014010),宿迁市科技计划项目(Z201529),江苏省"六大人才高峰"第十二批人才项目(DZXX-049),宿迁学院科研基金(2014KY09)
摘    要:为了快速准确地完成刀具磨损检测系统中刀具磨损图像的分割,提出了分解的二维Renyi交叉熵刀具磨损图像阈值分割方法。首先引入Renyi交叉熵的定义,给出一维Renyi交叉熵阈值选取公式。然后推导出二维Renyi交叉熵阈值选取公式,并采用快速递推公式来降低阈值选取准则函数的计算复杂度。最后提出了二维Renyi交叉熵的分解算法,将二维Renyi交叉熵的运算转化为两个一维Renyi交叉熵的运算,使算法的运算量从O(L4)降为O(L)。针对不同类型的刀具磨损图像的实验表明,所提出的方法与基于粒子群优化的二维最大Shannon交叉熵法、基于粒子群优化的二维Renyi熵法、二维最小Tsallis交叉熵法相比,在分割效果和运行速度上均具有很大优势。

关 键 词:刀具磨损检测  图像分割  Renyi交叉熵  分解  快速递推算法

Image segmentation for tool wear based on 2D Renyi cross entropy
Ma Yinghui and Wu Yiquan.Image segmentation for tool wear based on 2D Renyi cross entropy[J].Journal of Electronic Measurement and Instrument,2016,30(12):1869-1876.
Authors:Ma Yinghui and Wu Yiquan
Affiliation:1. School of Information Engineering, Suqian College, Suqian 223800, China;2. College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China and 2. College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China;3. Key Laboratory of Manufacturing & Automation, Xihua University, Chengdu 610039, China;4. State Key Laboratory of Digital Manufacturing Equipment & Technology, Huazhong University of Science and Technology, Wuhan 430074, China
Abstract:In order to segment the tool wear image quickly and accurately in tool wear detection system, the decomposed 2D Renyi cross entropy segmentation method of tool wear image is presented.Firstly, Renyi cross entropy is defined, and the 1D Renyi cross entropy thresholding method is presented.Then 2D threshold selection method based on the Renyi cross entropy is derived, and the recursive algorithm is adopted to reduce the computational complexity of criterion function for threshold selection.Finally, the decomposition algorithm of 2D Renyi cross entropy is proposed, and the computation of 2D Renyi cross entropy is converted into two computations of 1D Renyi cross entropy, then the computational complexity is reduced from O(L4) to O(L).A large number of experiments on different kind of tool wear images are processed and then the experimental results are compared with 2D maximum Shannon entropy method based on particle swarm optimization (PSO), 2D Renyi entropy method based on particle swarm optimization (PSO) and the 2D minimum Tsallis cross entropy method, the proposed method shows obvious advantages for tool wear image in segmentation results and processing speed.
Keywords:tool wear detection  image segmentation  Renyi cross entropy  decomposition  fast recursive algorithm
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