English

Box-counting dimension of a kind of fractal interpolation surface on rectangular grids

Dynamical Systems 2013-03-20 v1

Abstract

We estimate a Box-counting dimension of fractal surfaces which are generated by iterated function systems with a vertical contraction factor function on an arbitrary data set over rectangular grids and can express well a lot of natural surfaces with very complicated structures.

Keywords

Cite

@article{arxiv.1208.2081,
  title  = {Box-counting dimension of a kind of fractal interpolation surface on rectangular grids},
  author = {CholHui Yun and MunChol Kim},
  journal= {arXiv preprint arXiv:1208.2081},
  year   = {2013}
}