Estimation of Minkowski dimension using neighborhood operations

Authors
Citation
Cb. Rao et B. Raj, Estimation of Minkowski dimension using neighborhood operations, MATH GEOL, 33(3), 2001, pp. 369-376
Citations number
11
Categorie Soggetti
Earth Sciences
Journal title
MATHEMATICAL GEOLOGY
ISSN journal
08828121 → ACNP
Volume
33
Issue
3
Year of publication
2001
Pages
369 - 376
Database
ISI
SICI code
0882-8121(200104)33:3<369:EOMDUN>2.0.ZU;2-K
Abstract
A method to estimate the Minkowski dimension using neighborhood operations is described. Its implementation using a software package IMAGER-2 on a squ are grid with eight connectivity is presented. It is observed that a range of successive pairs of dilations helps in arriving at the best estimate. Th e methodology is applied to find the Minkowski dimension of the skeleton of a stress corrosion crack.