Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4623293 | Journal of Mathematical Analysis and Applications | 2007 | 11 Pages |
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.
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