Properties and Applications of a 3-point Binary Interpolatory Subdivision Scheme

Properties and Applications of a 3-point Binary Interpolatory Subdivision Scheme

Abstract: In order to make the subdivision scheme which has good properties, such as continuity, preserving-convexity, a 3-point binary interpolatory subdivision scheme is proposed. Then, the relationship between the properties including continuity, preserving-convexity and fractal property and the parameter are analyzed. Finally, some applications are given about the properties of the subdivision scheme.#br# Key words: interpolatory subdivision schemes; continuity; preserving-convexity; fractal property

Online:2014-02-28 Published:2015-03-26

Abstract

Abstract: In order to make the subdivision scheme which has good properties, such as continuity, preserving-convexity, a 3-point binary interpolatory subdivision scheme is proposed. Then, the relationship between the properties including continuity, preserving-convexity and fractal property and the parameter are analyzed. Finally, some applications are given about the properties of the subdivision scheme.

Key words: interpolatory subdivision schemes, continuity, preserving-convexity, fractal property

Huang Shupei, Zheng Hongchan, Yan Feiyi, Hu Yun. Properties and Applications of a 3-point Binary Interpolatory Subdivision Scheme[J]. Journal of Graphics.

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Properties and Applications of a 3-point Binary Interpolatory Subdivision Scheme

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