Five-point interpolating subdivision scheme with two parameters

Abstract

Abstract: A new scheme is presented to design subdivision curves by introducing two control parameters in the ternary subdivision scheme. The sufficient conditions of the uniform convergence property and [CK]continuity properties of the five-point ternary subdivision scheme with two parameters are proved. It can generate [C2] limit functions by choosing two parameters appropriately. Some examples of the curve design are given to show the efficiency of the proposed subdivision scheme.

Key words: ternary subdivision scheme, interpolation, uniform convergence, [CK]-continuity

摘要： 提出包含两个参数的五点ternary插值细分法。利用生成多项式等方法对细分法的一致收敛性，[CK]连续性进行了分析。讨论了参数对细分法的收敛性及连续性的影响，同时给出了细分法[C0]到[C2]连续的充分条件和数值算例。

关键词: ternary细分法, 插值, 一致收敛性, [CK]连续性

ZHANG Yanyan, TAN Jieqing. Five-point interpolating subdivision scheme with two parameters[J]. Computer Engineering and Applications, 2014, 50(6): 135-138.

张艳艳，檀结庆. 双参数五点插值细分法[J]. 计算机工程与应用, 2014, 50(6): 135-138.

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Five-point interpolating subdivision scheme with two parameters

双参数五点插值细分法

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