| 双参数五点插值细分法 |
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| 引用本文： | 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(6):135-138,160. |
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| 作者姓名： | 张艳艳 檀结庆 |
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| 作者单位： | 合肥工业大学 数学学院,合肥230009 |
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| 基金项目： | 国家自然科学基金（No.60773043,No.61070227）;教育部科学技术研究重大项目（No.309017）;国家自然科学基金一广东联合基金重点项目（No.U1135003）. |
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| 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，C K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。
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| 关 键 词： | ternary细分法 插值 一致收敛性 C K连续性 |
Five-point interpolating subdivision scheme with two parameters |
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| ZHANG Yanyan,TAN Jieqing.Five-point interpolating subdivision scheme with two parameters[J].Computer Engineering and Applications,2014(6):135-138,160. |
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| Authors: | ZHANG Yanyan TAN Jieqing |
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| Affiliation: | ( School of Mathematics, Hefei University of Technology, Hefei 230009, China) |
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| 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 subdi-vision scheme. |
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| Keywords: | ternary subdivision scheme interpolation uniform convergence Ck -continuity |
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