Box-counting dimensions of fractal interpolation surfaces derived from fractal interpolation functions |
| |
| Authors: | Zhigang Feng Xiuqing Sun |
| |
| Affiliation: | 1. Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, PR China;2. State Key Laboratory of Coal Resources and Safe Mining, China University of Mining & Technology, Beijing 100086, PR China |
| |
| Abstract: | A construction method of Fractal Interpolation Surfaces on a rectangular domain with arbitrary interpolation nodes is introduced. The variation properties of the binary functions corresponding to this type of fractal interpolation surfaces are discussed. Based on the relationship between Box-counting dimension and variation, some results about Box-counting dimension of the fractal interpolation surfaces are given. |
| |
| Keywords: | Affine fractal interpolation function Variation Fractal interpolation surface Box-counting dimension |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
