Article ID Journal Published Year Pages File Type
4623293 Journal of Mathematical Analysis and Applications 2007 11 Pages PDF
Abstract

Based on the construction of bivariate fractal interpolation surfaces, we introduce closed spherical fractal interpolation surfaces. The interpolation takes place in spherical coordinates and with the transformation to Cartesian coordinates a closed surface arises. We give conditions for this construction to be valid and state some useful relations about the Hausdorff and the Box counting dimension of the closed surface.

Related Topics
Physical Sciences and Engineering Mathematics Analysis