Title of article
Fractal interpolation on the Koch Curve
Author/Authors
P. Paramanathan، نويسنده , , R. Uthayakumar، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2010
Pages
5
From page
3229
To page
3233
Abstract
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.
Keywords
Koch Curve , Fractal interpolation , Harmonic functions , Self-similar functions
Journal title
Computers and Mathematics with Applications
Serial Year
2010
Journal title
Computers and Mathematics with Applications
Record number
921454
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