|本期目录/Table of Contents|

[1]周国荣.张量积BaskakovSzászMirakjan曲面的构造及性质[J].厦门理工学院学报,2017,(5):83-89.
 ZHOU Guorong.Modeling of Tensor Product BaskakovSzászMirakjan〖JZ〗Surfaces and their Properties[J].Journal of JOURNAL OF XIAMEN,2017,(5):83-89.
点击复制

张量积BaskakovSzászMirakjan曲面的构造及性质(PDF)
分享到:

《厦门理工学院学报》[ISSN:1673-4432/CN:35-1289/Z]

卷:
期数:
2017年第5期
页码:
83-89
栏目:
应用数理科学
出版日期:
2017-10-30

文章信息/Info

Title:
Modeling of Tensor Product BaskakovSzászMirakjan〖JZ〗Surfaces and their Properties
文章编号:
1673-4432(2017)05-0083-07
作者:
周国荣
(厦门理工学院应用数学学院,福建 厦门 361024)
Author(s):
ZHOU Guorong
(School of Applied Mathematics,Xiamen University of Technology,Xiamen 361024,China)
关键词:
张量积曲面造型方法Baskakov 算子SzászMirakjan算子负次数Bernstein基函数Poisson基函数
Keywords:
tensor product surfacemodelingBaskakov operatorSzászMirakjan operatorBernstein basis functions of negative degreePoisson basis functions
分类号:
O2421
DOI:
-
文献标志码:
A
摘要:
根据算子逼近论中的Baskakov算子与SzászMirakjan算子,利用BaskakovSzászMirakjan基函数,结合给定的控制顶点构造了张量积BaskakovSzászMirakjan曲面,实现了用有限个控制顶点绘制张量积BaskakovSzászMirakjan曲面,实例验证了此方法的有效性.同时,由基函数的非负性、单位分解性、线性无关性、插值性、导函数公式,推导出张量积BaskakovSzászMirakjan曲面具有仿射不变性、凸包性、非退化性、插值性等主要几何造型性质。
Abstract:
According to Baskakov operators and SzászMirakjan operators in operator approximation theory,tensor product BaskakovSzászMirakjan surfaces were constructed using BaskakovSzászMirakjan basis functions and several given control vertices,and an example was drawn for verification.From the main properties of BaskakovSzászMirakjanbasic functions we deduced that BaskakovSzászMirakjan surfaces have the main geometric modeling properties,such as affine invariance,convex hull property,nondegeneracy and so on.

参考文献/References:

[1]〖ZK(〗GOLDMAN R N.The rational bernstein bases and the multirational blossoms[J].Computer Aided Geometric Design,1999,16:701738.〖ZK)〗[2]〖ZK(〗GOLDMAN R N,MORIN G.Poisson approximation[C]//Proceeding of the Geometric Modeling and Processing.Washington,DC:IEEE Computer Society,2000:141149.〖ZK)〗[3]〖ZK(〗CHEN Q,WANG G Z.A class of Bezierlike curves[J].Computer Aided Geometric Design,2003,20:2939.〖ZK)〗[4]〖ZK(〗LI Y J,WANG G Z.Two kinds of Bbasic of the algebraic hyperbolic space[J].Journal of Zhejiang University Science,2005,6A(7):750759.〖ZK)〗[5]〖ZK(〗FAN F,ZENG X M.Sλ bases and Sλ curves[J].Computer Aided Design,2012,44:1 0491 055.〖ZK)〗[6]〖ZK(〗ZHOU G,ZENG X M,FAN F.Bivariate Sλ bases and Sλ surfac patches[J].Computer Aided Geometric Design,2014,31:674688.〖ZK)〗〖HT〗

相似文献/References:

备注/Memo

备注/Memo:
[收稿日期]2017-09-12〓〓〓〓[修回日期]2017-10-26〖HTH〗[基金项目]〖HTSS〗国家自然科学基金项目(11626201);厦门理工学院高层次人才项目(YKJ14026R)〖HTH〗[作者简介]〖HTSS〗〖JP3〗周国荣(1985-),男,讲师,博士,研究方向为计算机辅助几何设计,〖BF〗Email:goonchow@xmut.edu.cn〖BFQ〗。
更新日期/Last Update: