journal article
oaidoi:10.1016/0021-9045(89)90080-4

The calculus of fractal interpolation functions

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Publication date
30 April 1989
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Published by Elsevier Inc.
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    Abstract

    AbstractThe calculus of deterministic fractal functions is introduced. Fractal interpolation functions can be explicitly indefinitely integrated any number of times, yielding a hierarchy of successively smoother interpolation functions which generalize splines and which, just as in the case for the original fractal functions, are attractors for iterated function systems. The fractal dimension for a class of fractal interpolation functions is explicitly computed

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