| 三参数六点细分法 |
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| 引用本文： | 易丽辉,韩旭里.三参数六点细分法[J].计算机辅助设计与图形学学报,2007,19(7):888-891. |
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| 作者姓名： | 易丽辉 韩旭里 |
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| 作者单位： | 中南大学数学科学与计算技术学院,长沙,410083;中南大学数学科学与计算技术学院,长沙,410083 |
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| 摘 要： | 提出一类包含3个参数的6点细分法,它以双参数4点法作为一种特殊情况,可以构造光滑插值曲线和光滑逼近曲线,并且可以通过调整3个参数的取值使得曲线达到C4连续.讨论了参数对细分法的收敛性及连续性的影响,给出了细分法Ck连续性的充分条件及一些数值算例.
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| 关 键 词： | 细分法 生成多项式 一致收敛性 Ck连续性 |
| 收稿时间： | 2006-09-26 |
| 修稿时间： | 2006-09-262007-04-26 |
A Class of Six-Point Subdivision Schemes with Three Parameters |
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| Yi Lihui,Han Xuli.A Class of Six-Point Subdivision Schemes with Three Parameters[J].Journal of Computer-Aided Design & Computer Graphics,2007,19(7):888-891. |
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| Authors: | Yi Lihui Han Xuli |
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| Affiliation: | School of Mathematical Sciences and Computing Technology, Central South University, Changsha 410083 |
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| Abstract: | As extension subdivision schemes with of four-point subdivision schemes with two parameters, a class of six-point three parameters is presented for constructing smooth interpolating or approximating subdivision curves. The sufficient condition of C^4 continuity properties are proposed to achieve C^4 continuity by choosing three parameters appropriately. Some computing examples are also given to show efficiency of the proposed subdivision scheme. |
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| Keywords: | subdivision schemes generating polynomial uniform convergence C^4 continuity |
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