一类保凸的细分格式

A Family of Convexity-Preserving Subdivision Schemes

中文关键词:  二重细分  收敛和光滑性  保凸

英文关键词:Binary subdivision  convergence and smoothness  convexity preservation

中文摘要:

      提出了一类新的具有高阶连续性和保凸性的5-点二重细分格式.可以证明在参数的某些取值范围内,极限曲线是$C^k~(k=0,1,\ldots,7)$连续的.本文还给出了极限曲线保凸时的参数的取值范围.数值例子表明该格式是灵活有效的.

英文摘要:

      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.