| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8255076 | Chaos, Solitons & Fractals | 2014 | 8 Pages |
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.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Chol-hui Yun, Hyong-chol O, Hui-chol Choi,