A class of rough surfaces and their fractal dimensions

Authors
Wang, HY Xu, ZB
Citation
Hy. Wang et Zb. Xu, A class of rough surfaces and their fractal dimensions, J MATH ANAL, 259(2), 2001, pp. 537-553
Citations number
13
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
259
Issue
2
Year of publication
2001
Pages
537 - 553
Database
ISI
SICI code
0022-247X(20010715)259:2<537:ACORSA>2.0.ZU;2-T
Abstract
Based on a function represented by the Canter series and a binary fraction of real numbers, a class of rough surfaces is constructed in this paper. Th e method used completely differs from those previously developed. In additi on, the fractal dimensions, as an indicator of the roughness of such surfac es, are also investigated. The calculating formulas for the box-counting an d packing dimensions are derived, and the upper and lower bounds of the Hau sdorff dimension are estimated. (C) 2001 Academic Press.