Closed fractal interpolation surfaces
Based on the construction of bivariate fractal interpolation surface, the authors introduce, in Section 4, closed spherical fractal interpolation surfaces. The interpolation takes place in spherical coordinates and with the transformation to Cartesian coordinates a closed surface arises. There are given conditions needed for this construction (Theorem 3) and some theorems (in Section 5) about their Hausdorff and box-counting dimension are proved. In Section 6 the authors consider the problem of approximation of some given closed surface.
bivariate fractal interpolation surfaces
closed spherical fractal interpolation surfaces
scientific article; zbMATH DE number 5083263