| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 469126 | Computers & Mathematics with Applications | 2010 | 5 Pages |
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
P. Paramanathan, R. Uthayakumar,