Construction of recurrent bivariate fractal interpolation surfaces and computation of their box-counting dimension

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.

• Type: Journal
• Year: 2006
• Where: JAT
• Authors: P. Bouboulis, Leoni Dalla, V. Drakopoulos
• Keywords: Affine Fractal Interpolation, Bivariate Fractal Interpolation, Fractal Interpolation, JAT 2006