基于能量法光顺的四次自由曲线拼接算法

计算机工程与应用 ›› 2007, Vol. 43 ›› Issue (2): 131-131.

基于能量法光顺的四次自由曲线拼接算法

史锡芬,林意

无锡商业职业技术学院

收稿日期:2005-12-06 修回日期:1900-01-01 出版日期:2007-01-11 发布日期:2007-01-11
通讯作者: 史锡芬 shixifen

Algorithm of Uniting Quartic Free Curves Based on Energy Method

无锡商业职业技术学院

Received:2005-12-06 Revised:1900-01-01 Online:2007-01-11 Published:2007-01-11

摘要/Abstract

摘要： 针对AutoCAD及CAXA等软件的自由曲线造型中，需绘制的曲线跟着鼠标移动时会发生闪烁，严重时会出现死机现象这一缺陷，该文依据了有关能量法光顺的原理，采用了分段拼接曲线的思想，选取了四次样条函数的曲线方程。经仔细推算并编程实验证明：本算法涉及的数据量少，曲线拼接速度快，效果好。由于采用的是四次样条曲线，故其光顺性的取法更好且合理，同时，该算法在CAD上能直接应用。

关键词: 能量法, 四次样条函数, 自由曲线, 拼接算法

Abstract: This paper focuses on the curve moudling problem in software of AutoCAD, CAXA, etc. When the curves which need to be drawn twinkle along with the variation of the mouse, they continuously gleam. Sometimes the computer even can’t work normally. In order to overcome this problem, the author offered a method of connecting free curves which based on fairness principle and a curve form which based on quartic spline is constructed. The experiment shows that it will receive a high-speed and effective result. The fairness is better and it can be applicated in CAD.

Key words: energy method, quartic spline function, free curve, continuity algorithm

史锡芬,林意. 基于能量法光顺的四次自由曲线拼接算法[J]. 计算机工程与应用, 2007, 43(2): 131-131.

,. Algorithm of Uniting Quartic Free Curves Based on Energy Method[J]. Computer Engineering and Applications, 2007, 43(2): 131-131.

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