拟三次Bezier曲线 |
| |
引用本文: | 韩西安 马逸尘. 拟三次Bezier曲线[J]. 装备指挥技术学院学报, 2008, 19(1): 99-102 |
| |
作者姓名: | 韩西安 马逸尘 |
| |
作者单位: | [1]装备指挥技术学院基础部,北京101416 [2]西安交通大学理学院,陕西西安710049 |
| |
基金项目: | 国家自然科学基金(10371096,10671153) |
| |
摘 要: | 给出了一组含有2个参数的多项式基函数,它是三次Bernstein基函数的扩展;基于该组基定义了带形状参数的多项式曲线,称之为拟三次Bezier(Q-Bezier)曲线。Q-Bezier曲线不仅具有三次Bezier曲线的特征,而且在控制多边形保持不变的条件下,具有形状可调性和对控制多边形更好的逼近性。形状参数具有明显的几何意义:控制曲线端点的性质。最后,给出了一些图形实例。
|
关 键 词: | Q-Bezier曲线 三次BEZIER曲线 形状参数 |
文章编号: | 1673-0127(2008)01-0099-04 |
收稿时间: | 2006-11-27 |
修稿时间: | 2006-11-27 |
Cubic Quasi-Bezier Curve |
| |
Affiliation: | HAN Xi'an,MA Yichen(1.Department of Basic Theories, the Academy of Equipment Command & Technology, Beijing 101416, China;2. School of Science, Xi'an Jiaotong University, Xi'an Shaanxi 710049, China) |
| |
Abstract: | A class of polynomial basic function with two adjustable shape parameters is presented. It is an extension to classical cubic Bernstein basis function. A polynomial curve, called cubic Quasi- Bezier (Q-Bezier) curve with two shape parameters is defined based on it. The curve inherits the most properties of cubic Bezier curve and the shape of Q-Bezier curve can be adjusted by alerting the two shape parameters when the control polygon is maintained. The Q-Bezier curve can be more approximated to the control polygon. It is visible that the properties of end-point on Q-Bezier curve can be controlled by the two shape parameters. Finally, some examples are given by figures. |
| |
Keywords: | Q-Bezier curve cubic Bezier curve shape parameters |
本文献已被 维普 等数据库收录! |