A construction of fractal surfaces with function scaling factors on a rectangular grid
Dynamical Systems
2014-04-07 v1
Abstract
A fractal surface is a set which is a graph of a bivariate continuous function. In the construction of fractal surfaces using IFS, vertical scaling factors in IFS are important one which characterizes a fractal feature of surfaces constructed. We construct IFS with function vertical scaling factors which are 0 on the boundaries of a rectangular grid using arbitrary data set on a rectangular grid and give a condition for an attractor of the IFS constructed being a surface. Finally, lower and upper bounds of Box-counting dimension of the constructed surface are estimated.
Keywords
Cite
@article{arxiv.1404.1300,
title = {A construction of fractal surfaces with function scaling factors on a rectangular grid},
author = {Chol-Hui Yun and Hui-Chol Choi and Hyong-Chol O},
journal= {arXiv preprint arXiv:1404.1300},
year = {2014}
}
Comments
9 pages, 2 figures