| 一类三角多项式曲线的性质及应用 |
| |
| 引用本文： | 程荣,潘永娟,周明华.一类三角多项式曲线的性质及应用[J].计算机工程与应用,2010,46(7):39-43. |
| |
| 作者姓名： | 程荣 潘永娟 周明华 |
| |
| 作者单位： | 浙江工业大学 理学院，杭州 310023 |
| |
| 基金项目： | 国家自然科学基金No.60673063,No.60673031~~ |
| |
| 摘 要： | 在三角函数空间Φ7=span{1，sint，cost，cos2t，sin3t，cos3t，sin4t，cos4t}和Φ8=span{1，sint，cost，sin2t，cos2t，sin3t，cos3t，sin4t，cos4t}中构造了B-L（Bézier-Like）曲线，并给出其显式表达式。进一步讨论了该曲线的若干性质和应用，给出了不需要有理形式的心脏线、椭圆（圆）弧等的B-L曲线精确表示，椭球（球）面的B-L曲面精确表示，以及圆柱螺线的B-L曲线逼近表示。通过实例说明在造型设计方面使用简便且有效。
|
| 关 键 词： | 三角多项式 三角基 B-L曲线曲面 |
| 收稿时间： | 2008-9-19 |
| 修稿时间： | 2008-12-29
|
Properties and applications of a Class of trigonometric polynomial curves |
| |
| CHENG Rong,PAN Yong-juan,ZHOU Ming-hua.Properties and applications of a Class of trigonometric polynomial curves[J].Computer Engineering and Applications,2010,46(7):39-43. |
| |
| Authors: | CHENG Rong PAN Yong-juan ZHOU Ming-hua |
| |
| Affiliation: | College of Science，Zhejiang University of Technology，Hangzhou 310023，China |
| |
| Abstract: | The B-L(Bézier-Like) curves over the trigonometric function space φ_7 =span{ 1, sint, cost, cos2t, sin3t, cos3t, sin4t, cos4t}and φ_8=span {1,sint,cost,sin2t,cos2t,sin3t,cos3t,sin4t,cos4t} are constructed,the explicit expressions of the B-L curves are pre-sented.Then some properties and applications of this kind of curves are discussed.Cardioid,elliptic curves,circular arc,ellipsoid, sphere without rational form are precisely expressing,and circular helix is approximated by the B-L curves.Examples are given to illustrate the convenience and validity in model design. |
| |
| Keywords: | trigonometric polynomial trigonometric basis B-L curves and surfaces |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《计算机工程与应用》浏览原始摘要信息 |
|
点击此处可从《计算机工程与应用》下载全文 |
|
