| 有理双圆弧插值与双圆弧样条曲面 |
| |
| 引用本文： | 孙建泉.有理双圆弧插值与双圆弧样条曲面[J].航空学报,1996,17(5):23-27. |
| |
| 作者姓名： | 孙建泉 |
| |
| 作者单位： | 南京航空航天大学理学院, 南京, 210016 |
| |
| 摘 要： | 阐明了用有理参数形式表示圆弧的充要条件。在此基础上建立了由三点确定的双圆弧的有理参数方程。提出了有理双圆弧插值的算法，其中包括建立连续性方程，计算弦切角以及构造样条曲线。此外，构造了一类以双圆弧样条为横向截线的直纹曲面
|
| 关 键 词： | 计算几何 圆弧样条插值方程 |
| 收稿时间： | 1996-02-01 |
| 修稿时间： | 1996-04-14 |
THE INTERPOLATION OF RATIONAL BICIRCULAR ARCS AND THE BICIRCULAR SPLINE SURFACES |
| |
| Sun Jianquan.THE INTERPOLATION OF RATIONAL BICIRCULAR ARCS AND THE BICIRCULAR SPLINE SURFACES[J].Acta Aeronautica et Astronautica Sinica,1996,17(5):23-27. |
| |
| Authors: | Sun Jianquan |
| |
| Institution: | College of Science, Nanjing University of Aeronautics and Astronautics,Nanjing,210016 |
| |
| Abstract: | The necessary and sufficient conditions for representing circular arc by rational parameter form are explained. On the base, the rational parameter equation of the bicircular arc determined by three points is established. The interpolation of rational bicircular arcs is provided, that contains the establishing equation of continuity, calculating the angles between chords and cutting lines, and constructing the spline curves. Besides a class of surfaces with line segments are constructed and it's cross setions are bicircular arc splines. |
| |
| Keywords: | computational geometry circular arcs splines interpolation equations |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《航空学报》浏览原始摘要信息 |
| 点击此处可从《航空学报》下载免费的PDF全文 |
|
