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Hidden variable bivariate fractal interpolation surfaces
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DOI：10.1142/S0218348X03002129.png)
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We construct hidden variable bivariate fractal interpolation surfaces (FIS). The vector valued iterated function system (IFS) is constructed in R-4 and its projection in R-3 is taken. The extra degree of freedom coming from R-4 provides hidden variable, which is an important factor for flexibility and diversity in the interpolated surface. In the present paper, we construct an IFS that generates both self-similar and non-self-similar FIS simultaneously and show that the hidden variable fractal surface may be self-similar under certain conditions.
Keyword:
bivariate fractal
fractal dimension
FIF
IFS
surface generation
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