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Rational biquartic interpolating surface based on function values

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成果类型:
会议论文
作者:
Deng, Siqing*;Fang, Kui;Xie, Jin;Chen, Fulai
通讯作者:
Deng, Siqing
作者机构:
[Chen, Fulai; Deng, Siqing] Xiangnan Univ, Dept Math, Chenzhou 423000, Hunan, Peoples R China.
[Fang, Kui] Hunan Agr Univ, Sch Informat Sci & Technol, Changsha 410128, Hunan, Peoples R China.
[Fang, Kui] Hunan Norma Univ, Sch Math & Comp, Changsha 410081, Hunan, Peoples R China.
[Xie, Jin] Hefei Univ, Dept Math & Phys, Hefei 230601, Hunan, Peoples R China.
通讯机构:
[Deng, Siqing] X
Xiangnan Univ, Dept Math, Chenzhou 423000, Hunan, Peoples R China.
语种:
英文
关键词:
bivariate interpolation;bivariate splines;rational spline;parameter;computer aided geometric design
期刊:
Lecture Notes in Computer Science
ISSN:
0302-9743
年:
2008
卷:
5093
页码:
773-780
会议名称:
3rd International Conference on E-Learning and Games (Edutainment 2008)
会议论文集名称:
Lecture Notes in Computer Science
会议时间:
JUN 25-27, 2008
会议地点:
Nanjing, PEOPLES R CHINA
会议主办单位:
[Deng, Siqing;Chen, Fulai] Xiangnan Univ, Dept Math, Chenzhou 423000, Hunan, Peoples R China.^[Fang, Kui] Hunan Agr Univ, Sch Informat Sci & Technol, Changsha 410128, Hunan, Peoples R China.^[Fang, Kui] Hunan Norma Univ, Sch Math & Comp, Changsha 410081, Hunan, Peoples R China.^[Xie, Jin] Hefei Univ, Dept Math & Phys, Hefei 230601, Hunan, Peoples R China.
会议赞助商:
Natl Sci Fdn China, Int Journal Virtual Real, Transact Edutainment, Nanjing Normal Univ, Hohai Univ, LIAM NLPR, Inst Automat, CAS
主编:
Pan, ZG Zhang, XP ElRhalibi, A Woo, W Li, Y
出版地:
HEIDELBERGER PLATZ 3, D-14197 BERLIN, GERMANY
出版者:
SPRINGER-VERLAG BERLIN
ISBN:
978-3-540-69734-3
基金类别:
National Nature Science Foundation of China; Natural Science Foundation of Hunan Province of China; Research Project of Department of Education of Hunan Province of China
机构署名:
本校为其他机构
院系归属:
信息科学技术学院
摘要:
In this paper 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 C 1 in the interpolating region when one of the parameters satisfies a simple condition. The interpolating surface can be modified by selecting suitable parameters under the condition that the interpolating data are...

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