Analysis of a 6-point binary subdivision scheme |
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Authors: | Yong-Xia Hao Ren-Hong WangChong-Jun Li |
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Institution: | School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China |
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Abstract: | In this paper, a linear 6-point binary approximating subdivision scheme with support −6, 5] is fully investigated. It is shown that the scheme is simple and has elegant properties. We prove that the scheme can have high order continuity, polynomial reproduction and convexity preserving properties simultaneously. Furthermore, we explore the trade-offs among these properties. Examples are given to demonstrate the efficiency and flexibility of the scheme. |
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Keywords: | Subdivision scheme Smoothness Convexity preserving Polynomial reproduction Laurent polynomial |
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