The Minkowski dimension of the bivariate fractal interpolation surfaces

Robert Małysz

Chaos, Solitons & Fractals, 2006, vol. 27, issue 5, 1147-1156

Abstract: We present a new construction of continuous bivariate fractal interpolation surface for every set of data. Furthermore, we generalize this construction to higher dimensions. Exact values for the Minkowski dimension of the bivariate fractal interpolation surfaces are obtained.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:27:y:2006:i:5:p:1147-1156

DOI: 10.1016/j.chaos.2005.05.007

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