Publication Type : Journal Article
Publisher : Computers and Mathematics with Applications
Source : Computers and Mathematics with Applications, 2010, 59(10), pp. 3229–3233
Campus : Coimbatore
School : School of Physical Sciences
Department : Mathematics
Year : 2010
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.
Cite this Research Publication : Paramanathan, P., Uthayakumar, R, "Fractal interpolation on the Koch Curve," Computers and Mathematics with Applications, 2010, 59(10), pp. 3229–3233