东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2006, Vol. 27 ›› Issue (1): 57-60.DOI: -

• 论著 • 上一篇    下一篇

灰度阈值对图像分形特征参数提取的分析

李平;张廷安;汪秉宏;豆志河;   

  1. 东北大学材料电磁过程研究教育部重点实验室;东北大学材料与冶金学院;中国科学技术大学近代物理系;东北大学材料与冶金学院 辽宁沈阳110004;辽宁沈阳110004;安徽合肥230026;辽宁沈阳110004
  • 收稿日期:2013-06-23 修回日期:2013-06-23 出版日期:2006-01-15 发布日期:2013-06-23
  • 通讯作者: Li, P.
  • 作者简介:-
  • 基金资助:
    国家重点基础研究发展规划项目;;

Grey level threshold used to extract fractal characteristic parameter of surface topography image

Li, Ping (1); Zhang, Ting-An (2); Wang, Bing-Hong (3); Dou, Zhi-He (2)   

  1. (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
  • Received:2013-06-23 Revised:2013-06-23 Online:2006-01-15 Published:2013-06-23
  • Contact: Li, P.
  • About author:-
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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

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.

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