Fractal range of a 3-point ternary interpolatory subdivision scheme with two parameters

Hongchan Zheng, Zhenglin Ye, Zuoping Chen and Hongxing Zhao

Chaos, Solitons & Fractals, 2007, vol. 32, issue 5, 1838-1845

Abstract: In this paper, we analyze the fractal property of Hassan’s 3-point ternary interpolatory subdivision scheme with two parameters. The fractal range of the scheme is obtained and illustrated. Many examples show that the obtained results suggest a clear direction to generate fractal curves and surfaces by using this scheme.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:32:y:2007:i:5:p:1838-1845

DOI: 10.1016/j.chaos.2005.12.017

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