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A Family of Convexity-Preserving Subdivision Schemes
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A new five-point binary subdivision scheme with high continuity and convexity preservation is proposed in this paper.It is shown that the limit curves are Ck (k =0,1,...,7)continuous for the certain range of the parameter.The range of the parameter for the property of convexity preservation of the limit curves is also provided.Experimental results demonstrate the efficiency and flexibility of the scheme.
Binary subdivisionconvergence and smoothnessconvexity preservation
Yan WANG、Zhiming LI
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School of Mathematics and Statistics, Hefei Normal University, Anhui 230601, P.R.China
School of Computer and Information, Hefei University of Technology, Anhui 230009, P.R.China
Supported by the Research Foundation for Talents of Hefei Normal University
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