论文信息 - Fractal interpolation on the Koch Curve

Fractal interpolation on the Koch Curve

The Koch Curve can be obtained as an iterated function system construction. Self-similar interpolation is possible for any function on the sets that are defined recursively. We prove that the Koch Curve (KC) is an analogue of the fractal interpolation theorem of Barnsley. Also the classical harmonic functions are defined on the KC as the degree 1 polynomials for self-similar interpolation.

R. Uthayakumar | P. Paramanathan

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