Estimation of Minkowski Dimension Using Neighborhood Operations

被引：0
|
作者：
C. Babu Rao
Baldev Raj
机构：
[1] Indira Gandhi Centre for Atomic Research,Metallurgy and Materials Group
[2] Indira Gandhi Centre for Atomic Research,Division for PIE & NDT Development
来源：
Mathematical Geology | 2001年 / 33卷
关键词：
fractal dimension; crack pattern; successive dilations;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A method to estimate the Minkowski dimension using neighborhood operations is described. Its implementation using a software package IMAGER-2 on a square grid with eight connectivity is presented. It is observed that a range of successive pairs of dilations helps in arriving at the best estimate. The methodology is applied to find the Minkowski dimension of the skeleton of a stress corrosion crack.
引用
收藏
页码：369 / 376
页数：7
相关论文
共 50 条
  • [21] Outlier Detection Using Neighborhood Radius Based on Fractal Dimension
    Hu, Lei
    Zhang, Zhongnan
    Dong, Huailin
    Lin, Kunhui
    2014 PROCEEDINGS OF THE 9TH INTERNATIONAL CONFERENCE ON COMPUTER SCIENCE & EDUCATION (ICCSE 2014), 2014, : 272 - 276
  • [22] Fractal dimension based on Minkowski-Bouligand method using exponential dilations
    Luppe, M.
    ELECTRONICS LETTERS, 2015, 51 (06) : 475 - 476
  • [23] Interference-free NC machining using spatial planning and Minkowski operations
    Tangelder, JWH
    Vergeest, JSM
    Overmars, MH
    COMPUTER-AIDED DESIGN, 1998, 30 (04) : 277 - 286
  • [24] Estimation of Fiber Orientations Using Neighborhood Information
    Ye, Chuyang
    Zhuo, Jiachen
    Gullapalli, Rao P.
    Prince, Jerry L.
    COMPUTATIONAL DIFFUSION MRI, 2016, : 87 - 96
  • [25] Estimation of fiber orientations using neighborhood information
    Ye, Chuyang
    Zhuo, Jiachen
    Gullapalli, Rao P.
    Prince, Jerry L.
    MEDICAL IMAGE ANALYSIS, 2016, 32 : 243 - 256
  • [26] Interference-free NC machining using spatial planning and Minkowski operations
    Delft Univ of Technology, Delft, Netherlands
    CAD Computer Aided Design, 1998, 30 (04): : 277 - 286
  • [27] Upper Minkowski dimension estimates for convex restrictions
    Buczolich, Z.
    ACTA MATHEMATICA HUNGARICA, 2017, 152 (01) : 84 - 108
  • [28] Fractal Dimension Estimation for Developing Pathological Brain Detection System Based on Minkowski-Bouligand Method
    Zhang, Yu-Dong
    Chen, Xian-Qing
    Zhan, Tian-Ming
    Jiao, Zhu-Qing
    Sun, Yi
    Chen, Zhi-Min
    Yao, Yu
    Fang, Lan-Ting
    Lv, Yi-Ding
    Wang, Shui-Hua
    IEEE ACCESS, 2016, 4 : 5937 - 5947
  • [29] Variation and Minkowski dimension of fractal interpolation surface
    Feng, Zhigang
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 345 (01) : 322 - 334
  • [30] Upper Minkowski dimension estimates for convex restrictions
    Z. Buczolich
    Acta Mathematica Hungarica, 2017, 152 : 84 - 108
12345