Smooth Interpolating Curves and Surfaces Generated by Iterated Function Systems | Zendy

Peter Massopust | Zendy

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Smooth Interpolating Curves and Surfaces Generated by Iterated Function Systems

Author(s) -

Peter Massopust

Publication year - 1993

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/571

Subject(s) - function (biology) , iterated function , mathematics , iterated function system , mathematical analysis , pure mathematics , evolutionary biology , fractal , biology

We construct C l and C2-interpolating fractal functions using a certain class of iterated function systems. An estimate for the box dimension of the graph of nonsmooth fractal functions generated by this new class is presented. We then generalize this construction to hi variate functions thus obtaining C'-interpolating fractal surfaces. Finally, C'-interpolating fractal surfaces are constructed via integration over C° fractal surfaces.

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