Box-counting dimension of a kind of fractal interpolation surface on rectangular grids
arXiv:1208.2081
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.
Cited by in corpus (4)
- Construction of Fractal Surfaces by Recurrent Fractal Interpolation Curves
- Construction of Recurrent Fractal Interpolation Surfaces with Function Scaling Factors and Estimation of Box-counting Dimension on Rectangular Grids
- A Construction of the Best Fractal Approximation
- A construction of fractal surfaces with function scaling factors on a rectangular grid