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ON SMOOTHNESS FOR A CLASS OF FRACTAL INTERPOLATION SURFACES

HONG-YONG WANG

Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210003, P. R. China

https://doi.org/10.1142/S0218348X06003222Cited by:19 (Source: Crossref)

Abstract

In this paper, we consider a wide class of iterated function systems in R³, and show that their attractors are a class of fractal interpolation surfaces. Based on a refinement equation, we investigate the properties of smoothness of the fractal interpolation functions, and give the results of the smoothness in several cases.

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