Construction of Fractal Surfaces by Recurrent Fractal Interpolation Curves
arXiv:1303.0615 · doi:10.1016/j.chaos.2014.06.001
Abstract
A method to construct fractal surfaces by recurrent fractal curves is provided. First we construct fractal interpolation curves using a recurrent iterated functions system(RIFS) with function scaling factors and estimate their box-counting dimension. Then we present a method of construction of wider class of fractal surfaces by fractal curves and Lipschitz functions and calculate the box-counting dimension of the constructed surfaces. Finally, we combine both methods to have more flexible constructions of fractal surfaces.
14 pages, 2 figures
References in corpus (2)
Cited by in corpus (5)
- Box-counting dimension and analytic properties of hidden variable fractal interpolation functions with function contractivity factors
- Hidden variable recurrent fractal interpolation function with four function contractivity factors
- 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