A Nonlinear Ternary Circle-Preserving Interpolatory Subdivision Scheme

Qian Song; Hong Chan Zheng; Guo Hua Peng

doi:10.4028/www.scientific.net/AMM.427-429.2170

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 427-429A Nonlinear Ternary Circle-Preserving...

A Nonlinear Ternary Circle-Preserving Interpolatory Subdivision Scheme

Abstract:

In this paper, we present a new nonlinear ternary interpolatory subdivision scheme which has the properties of convexity-preserving, circle-preserving and the limit curve iscontinuous. In each subdivision step, the newly generating points will be on the circle determined by the interpolatory point and its adjacent points. Numerical examples show that this algorithm is simple and curves generated by this subdivision scheme are fair curves.

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Periodical:

Applied Mechanics and Materials (Volumes 427-429)

Pages:

2170-2173

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.427-429.2170

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Online since:

September 2013

Authors:

Qian Song*, Hong Chan Zheng, Guo Hua Peng

Keywords:

Circle-Preserving, Convexity-Preserving, Nonlinear Subdivision

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References

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