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灰度阈值对图像分形特征参数提取的分析
引用本文:李平,张廷安,汪秉宏,豆志河.灰度阈值对图像分形特征参数提取的分析[J].东北大学学报(自然科学版),2006,27(1):57-60.
作者姓名:李平  张廷安  汪秉宏  豆志河
作者单位:1. 东北大学,材料电磁过程研究教育部重点实验室,辽宁,沈阳,110004
2. 东北大学,材料与冶金学院,辽宁,沈阳,110004
3. 中国科学技术大学,近代物理系,安徽,合肥,230026
基金项目:科技部科研项目,中国科学院资助项目,南京工程学院校科研和教改项目
摘    要:表面形貌的分形维数作为表面形貌描述的特征参数与表面形貌灰度图像二值化转换阈值θ密切相关.在灰度图像的二值化转换过程中,合理选取的二值化转换阈值θ*应能够通过从考察对象中所提取的分形维数来较好地表征表面形貌的相关特征.从实例可看到:灰度图像的二值化转换阈值θ存在着极大值θmax和极小值θmin,当θ>θmax或θ<θmin时,从灰度图像二值化转换过程中所获取的计算分形维数的所有信息将会达到饱和状态.基于θmax和θmin,得到了合理选取的二值化转换阈值θ*的经验判据关系.

关 键 词:表面形貌  图像的二值化  灰度阈值  分形维数  
文章编号:1005-3026(2006)01-0057-04
收稿时间:2005-03-28
修稿时间:2005年3月28日

Grey Level Threshold Used to Extract Fractal Characteristic Parameter of Surface Topography Image
LI Ping,ZHANG Ting-an,WANG Bing-hong,DOU Zhi-he.Grey Level Threshold Used to Extract Fractal Characteristic Parameter of Surface Topography Image[J].Journal of Northeastern University(Natural Science),2006,27(1):57-60.
Authors:LI Ping  ZHANG Ting-an  WANG Bing-hong  DOU Zhi-he
Institution:(1) Key Laboratory of Electromagnetic Processing of Materials, Northeastern University, Shenyang 110004, China; (2) School of Materials and Metallurgy, Northeastern University, Shenyang 110004, China; (3) Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China
Abstract:Fractal dimension, as the characteristic parameter to describe surface topography, relates closely to the grey level threshold θ in the binarization of grey image. In the binarization process, the rationally selected binarization threshold θ* can characterize well the surface topography by way of extracting the fractal dimensions from the objects to investigate. It can be seen from some instances that there are the maximum and minimum thresholds θmax and θmin. When θ > θmax or θ < θmin, all the information obtained from binarization to calculate fractal dimensions will be in saturated state. With θmax and θmin taken into account, the empirical criterion θz.ast; can be got as the rationally selected one.
Keywords:surface topography  image binaryzation  grey level threshold  fractal dimension
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