| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4608363 | Journal of Approximation Theory | 2006 | 19 Pages |
Abstract
Recurrent bivariate fractal interpolation surfaces (RBFISs) generalise the notion of affine fractal interpolation surfaces (FISs) in that the iterated system of transformations used to construct such a surface is non-affine. The resulting limit surface is therefore no longer self-affine nor self-similar. Exact values for the box-counting dimension of the RBFISs are obtained. Finally, a methodology to approximate any natural surface using RBFISs is outlined.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
