A Family of Convexity-Preserving Subdivision Schemes
Received:March 17, 2017  Revised:June 12, 2017
Key Word: Binary subdivision   convergence and smoothness   convexity preservation  
Fund ProjectL:Supported by the Research Foundation for Talents of Hefei Normal University (Grant No.2014rcjj05).
Author NameAffiliation
Yan WANG School of Mathematics and Statistics, Hefei Normal University, Anhui 230601, P. R. China 
Zhiming LI School of Computer and Information, Hefei University of Technology, Anhui 230009, P. R. China 
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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 $C^k~(k=0,1,\ldots,7)$ 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.
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