QCT-Coons曲面片及其应用

计算机工程与应用 ›› 2007, Vol. 43 ›› Issue (21): 87-89.

QCT-Coons曲面片及其应用

李军成，宋来忠，张明望

三峡大学理学院，湖北宜昌 443002

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2007-07-21 发布日期:2007-07-21
通讯作者: 李军成

Expression and application of QCT-Coons patch

LI Jun-cheng，SONG Lai-zhong，ZHANG Ming-wang

College of Science，China Three Gorges University，Yichang，Hubei 443002，China

Received:1900-01-01 Revised:1900-01-01 Online:2007-07-21 Published:2007-07-21
Contact: LI Jun-cheng

摘要/Abstract

摘要： 从三角函数出发，构造了一种类三次三角多项式混合函数，简称为QCT-混合函数，然后在此基础上生成了一种类似于双三次Coons曲面片的三角多项式曲面片，并称之为QCT-Coons曲面片。事实表明，QCT-Coons曲面不仅具有双三次Coons曲面片的性质，而且还能精确地表示球面、圆环面、椭球面等二次曲面。

关键词: 三角函数, QCT-混合函数, QCT-Coons曲面片, 圆环面, 椭球面

Abstract: A kind of blending function is constructed based on trigonometric function，which is named QCT-Blending function.Then the method of generating QCT-Coons patch is discussed.QCT-Coons path has the same superiority to double cubic Coons path，furthermore it can accurately represent torus and ellipsoid.

Key words: trigonometric functions, QCT-Blending functions, QCT-Coons patch, torus, ellipsoid

李军成，宋来忠，张明望. QCT-Coons曲面片及其应用[J]. 计算机工程与应用, 2007, 43(21): 87-89.

LI Jun-cheng，SONG Lai-zhong，ZHANG Ming-wang. Expression and application of QCT-Coons patch[J]. Computer Engineering and Applications, 2007, 43(21): 87-89.

[1]	刘辉1，张权1，刘祎1，白云蛟1，桂志国1，2. 锥束FDK反投影重建算法的三角函数优化[J]. 计算机工程与应用, 2017, 53(19): 179-183.
[2]	李军成，杨炼. 带形状参数的[C2]连续类三次三角样条曲线[J]. 计算机工程与应用, 2012, 48(30): 201-204.
[3]	李岩，韩旭里. 带形状参数的混合Coons类曲面[J]. 计算机工程与应用, 2009, 45(28): 72-74.