| A Family of Convexity-Preserving Subdivision Schemes |
| Received:March 17, 2017 Revised:June 12, 2017 |
| Key Words:
Binary subdivision convergence and smoothness convexity preservation
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| Fund Project:Supported by the Research Foundation for Talents of Hefei Normal University (Grant No.2014rcjj05). |
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| Abstract: |
| 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. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2017.04.010 |
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