摘要
本文提出了由共面四点确定双圆弧曲线的方法,分析了它的几何性质,并建立了双圆弧曲线的三次有理参数形式的方程,它可在计算机上表示。作为应用,本文构造了一类以双圆弧为横向截线的直纹曲面,包括其特殊情形双圆弧锥面与双圆弧柱面。这些算法对于计算机辅助外形设计与数控技术是有益的。
In order to construct the bieircular by four points of plain is presented, the geometric properties of bieircular arcs are analysed in this paper, and the bieircular arcs are represented in a rational cubic parameter form. As an application, the surfaces that consist of straight line are given, where tho cross-sections are bieircular arcs. These algorithms are useful in shape design and numerical control.
出处
《计算机应用与软件》
CSCD
1996年第5期50-57,共8页
Computer Applications and Software
关键词
曲线
曲面
双圆弧
CAD
Computer assist design, curves, surfaces, bicircular arcs, rational parament equations.
