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
  • [1] Estimation of Minkowski dimension using neighborhood operations
    Rao, CB
    Raj, B
    MATHEMATICAL GEOLOGY, 2001, 33 (03): : 369 - 376
  • [2] ON THE COMPUTATION OF THE MINKOWSKI DIMENSION USING MORPHOLOGICAL OPERATIONS
    KANMANI, S
    RAO, CB
    RAJ, B
    JOURNAL OF MICROSCOPY-OXFORD, 1993, 170 : 81 - 85
  • [3] Architecture for Fractal Dimension Estimation Based on Minkowski-Bouligand Method Using Integer Distances
    Rossales, Isabela
    Luppe, Maximiliam
    2016 IEEE 27TH INTERNATIONAL CONFERENCE ON APPLICATION-SPECIFIC SYSTEMS, ARCHITECTURES AND PROCESSORS (ASAP), 2016, : 231 - 232
  • [4] Freeform shape machining using Minkowski operations
    Tangelder, JWH
    Vergeest, JSM
    Overmars, MH
    ALGORITHMS FOR ROBOTIC MOTION AND MANIPULATION, 1997, : 301 - 310
  • [5] MINKOWSKI DIMENSION FOR MEASURES
    Falconer, Kenneth J.
    Fraser, Jonathan M.
    Kaenmaki, Antti
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, 151 (02) : 779 - 794
  • [6] Variance reduction with neighborhood smoothing for local intrinsic dimension estimation
    Carter, Kevin M.
    Hero, Alfred O., III
    2008 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING, VOLS 1-12, 2008, : 3917 - 3920
  • [7] ON MINKOWSKI DIMENSION OF JORDAN CURVES
    Nhat Le Thanh Hoang
    Zinsmeister, Michel
    ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2014, 39 (02) : 787 - 810
  • [8] Minkowski dimension and the Poincare exponent
    Bishop, CJ
    MICHIGAN MATHEMATICAL JOURNAL, 1996, 43 (02) : 231 - 246
  • [9] On the Minkowski dimension of functional digraph
    Feng, ZG
    Chen, G
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2003, 11 (01) : 87 - 92
  • [10] Signature identification by Minkowski dimension
    Rudyi, Semyon S.
    Vovk, Tatiana A.
    Rozhdestvensky, Yuri V.
    CHAOS, 2019, 29 (05)