Point control of bivariate rational biquartic interpolating surface

doi:10.3778/j.issn.1002-8331.2009.24.015

Computer Engineering and Applications ›› 2009, Vol. 45 ›› Issue (24): 46-49.DOI: 10.3778/j.issn.1002-8331.2009.24.015

• 研究、探讨 • Previous Articles Next Articles

Point control of bivariate rational biquartic interpolating surface

LU Hai-bo¹，DENG Si-qing¹，FANG Kui 2，3，XIE Jin⁴

1.Department of Mathematics，Xiangnan University，Chenzhou，Hunan 423000，China
2.School of Information Science and Technology，Hunan Agricultural University，Changsha 410128，China
3.School of Mathematics and Computer，Hunan Normal University，Changsha 410081，China
4.Department of Mathematics and Physics，Hefei University，Hefei 230601，China

Received:2008-10-14 Revised:2008-12-29 Online:2009-08-21 Published:2009-08-21
Contact: LU Hai-bo

二元有理双四次插值曲面的点控制问题

陆海波¹，邓四^清1，方逵^2，3，谢进⁴

1.湘南学院数学系，湖南郴州 423000
2.湖南农业大学信息科学技术学院，长沙 410128
3.湖南师范大学数学与计算机科学学院，长沙 410081
4.合肥学院数理系，合肥 230601

通讯作者: 陆海波

Abstract

Abstract: A bivariate rational biquartic interpolating spline based on function values with two parameters is constructed，and this spline is with biquartic numerator and bilinear denominator.The interpolating function has a simple and explicit mathematical representation，which is convenient both in practical application and in theoretical study.The interpolating surface is C1 in the interpolating region when one of the parameters satisfies a simple condition.It is more important that the values of the interpolating function at point in the interpolating region can be modified under the condition that the interpolating data are not changed by selecting the suitable parameters，so the interpolation surface can be modified for the given interpolation data when needed in practical design.
Key words： computer application；bivariate

Key words: computer application, bivariate interpolation, bivariate rational spline, parameter, computer aided geometric design

摘要： 构造了一种含有两个参数的仅基于函数值的二元有理双四次插值样条函数，插值函数具有简洁的显示表示，既便于应用，又便于理论研究。给出了插值曲面在插值区域上C1光滑的一个充分条件，讨论了插值基函数的性质和插值曲面形状的点控制问题.在插值条件不变的情况下，插值区域内任一点插值函数的值可以根据设计需要通过对参数的选取进行插值曲面的局部修改。

关键词: 计算机应用, 二元插值, 二元有理样条, 参数, 计算机辅助几何设计

CLC Number:

TP391

O241.3

LU Hai-bo¹，DENG Si-qing¹，FANG Kui 2，3，XIE Jin⁴. Point control of bivariate rational biquartic interpolating surface[J]. Computer Engineering and Applications, 2009, 45(24): 46-49.

陆海波¹，邓四^清1，方逵^2，3，谢进⁴. 二元有理双四次插值曲面的点控制问题[J]. 计算机工程与应用, 2009, 45(24): 46-49.

[1]	GAO Yikai, PENG Li, XU Longzhuang. Flame Recognition Method Using TWSVM with Improved Artificial Fish Swarm Algorithm [J]. Computer Engineering and Applications, 2021, 57(8): 204-213.
[2]	ZOU Jie, LI Jun. Multi-strategy Covariance Matrix Learning Differential Evolution Algorithm [J]. Computer Engineering and Applications, 2021, 57(7): 78-87.
[3]	ZHANG Shuiping, WANG Lina. Research and Analysis on Progress of Fruit Fly Optimization Algorithm [J]. Computer Engineering and Applications, 2021, 57(6): 22-29.
[4]	YANG Fang, YIN Xi, SI Jianhui, LIU Hongyuan, WANG Xue. Mathematical Expression Similarity Calculation Method Based on Focus Clustering [J]. Computer Engineering and Applications, 2021, 57(6): 88-93.
[5]	ZHENG Kun, KONG Jiangping, ZHOU Jing, CI Kangyi, CHANG Peng. Review of iPPG and Application of Physiological Parameter Detection in Education [J]. Computer Engineering and Applications, 2021, 57(5): 25-35.
[6]	ZHANG Junjie, ZHANG Cong, ZHAO Hanjie. Dueling Deep Q Network Algorithm with State Value Reuse [J]. Computer Engineering and Applications, 2021, 57(4): 134-140.
[7]	WU Di, ZHANG Mengtian, SHENG Long, HUANG Zhuyun, GU Mingxing. Microblog Hot Topic Evolution Based on Improved On-Line Biterm Topic Model [J]. Computer Engineering and Applications, 2021, 57(24): 179-184.
[8]	CHEN Qianru, LI Yali, XU Kequan, LIU Yilong, WANG Shuqin. WKNN Feature Selection Method Based on Self-Tuning Adaptive Genetic Algorithm [J]. Computer Engineering and Applications, 2021, 57(20): 164-171.
[9]	QIAN Zhengyuan, ZENG Guosun. Differential Evolution Algorithm Guided by Elite Island Population [J]. Computer Engineering and Applications, 2021, 57(20): 73-81.
[10]	MENG Na, LI Yanyan, WANG Lin. Parameter Estimation for Cubic Frequency Modulated Signals Based on CITAF-HAF [J]. Computer Engineering and Applications, 2021, 57(17): 75-79.
[11]	ZHANG Lin, WANG Tinghua, ZHOU Huiying. Research Progress on Parameter Optimization of SVR Based on Swarm Intelligence Algorithm [J]. Computer Engineering and Applications, 2021, 57(16): 50-64.
[12]	WU Guangfu, CHEN Ying. Summary of Research and Application of Flower Pollination Algorithm [J]. Computer Engineering and Applications, 2021, 57(15): 30-41.
[13]	ZHU Yongming, QIU Wenjing. Correlation Coefficient of Probability Multi-valued Neutrosophic Set and Its Application [J]. Computer Engineering and Applications, 2021, 57(15): 186-192.
[14]	ZHOU Bifeng, LUO Yiping. Aperiodically Intermittent Neutralization Control of Distributed Parameter Systems with Delay [J]. Computer Engineering and Applications, 2020, 56(8): 220-225.
[15]	HU Chunyang, JIANG Ping, ZHOU Genrong. Application of Improved Ant Colony Optimization in AGV Path Planning [J]. Computer Engineering and Applications, 2020, 56(8): 270-278.

Point control of bivariate rational biquartic interpolating surface

二元有理双四次插值曲面的点控制问题

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics