| 基于指导向量构造隐式曲线(英文) |
| |
| 引用本文： | 徐晨东,邓建松,陈发来,杨周旺.基于指导向量构造隐式曲线(英文)[J].中国科学技术大学学报,2010,40(12). |
| |
| 作者姓名： | 徐晨东 邓建松 陈发来 杨周旺 |
| |
| 作者单位： | 宁波大学理学院;中国科学技术大学数学系; |
| |
| 基金项目： | National Key Basic Research (973) Program of China，NSFC，the Specialized Research Fund for the Doctoral Program of Higher Education，Subject Foundation in Ningbo University |
| |
| 摘 要： | 提出了一种基于由给定控制多边形定义的指导向量构造隐式代数曲线的方法.同时推导了所生成的代数曲线的表达式并具体分析了其性质.这种方法可以用来构造插值曲线,而且曲线的形状很容易修改与调整.此外,该方法也可直接推广用于构造隐式曲面.
|
| 关 键 词： | 计算机辅助几何设计 代数曲线 几何连续 指导向量 |
Constructing implicit curves based on guidance vectors |
| |
| XU Chendong,DENG Jiansong,CHEN Falai,YANG Zhouwang.Constructing implicit curves based on guidance vectors[J].Journal of University of Science and Technology of China,2010,40(12). |
| |
| Authors: | XU Chendong DENG Jiansong CHEN Falai YANG Zhouwang |
| |
| Institution: | XU Chendong1,DENG Jiansong2,CHEN Falai 2,YANG Zhouwang2 (1.Faculty of Science,Ningbo University,Ningbo 315211,China,2.Department of Mathematics,University of Science and Technology of China,Hefei 230026,China) |
| |
| Abstract: | A method was proposed to construct an algebraic curve from the given control point set based on the guidance vectors of the control polygon defined by these points was proposed.After deriving the curve's expression and analyzing its properties, it was applied to constructing a interpolating curve whose shape can be modified easily.The method can be directly generalized to construct implicit surfaces. |
| |
| Keywords: | CAGD algebraic curve geometric continuity guidance vectors |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
