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Fractal properties of the generalized Chaikin corner-cutting subdivision scheme
- Source :
-
Computers & Mathematics with Applications . Apr2011, Vol. 61 Issue 8, p2197-2200. 4p. - Publication Year :
- 2011
-
Abstract
- Abstract: In this paper, we analyze the fractal properties of the generalized Chaikin corner-cutting subdivision scheme with two arbitrary parameters. On the basis of the discussion of limit points on the limit curve, the fractal range of the scheme is obtained and illustrated. The results obtained suggest a clear direction for generating fractal curves by using this scheme. Two fractal examples and their complexity evaluation results obtained by using the box dimension are given. [Copyright &y& Elsevier]
- Subjects :
- *CURVES
*ALGORITHMS
*GENERALIZATION
*FRACTALS
*SET theory
*COMPUTATIONAL complexity
Subjects
Details
- Language :
- English
- ISSN :
- 08981221
- Volume :
- 61
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Computers & Mathematics with Applications
- Publication Type :
- Academic Journal
- Accession number :
- 59943709
- Full Text :
- https://doi.org/10.1016/j.camwa.2010.09.014