| 圆渐开线平面插值样条及其应用 |
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| 引用本文： | 姜献峰,孙毅.圆渐开线平面插值样条及其应用[J].计算机辅助设计与图形学学报,2001,13(8):708-711. |
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| 作者姓名： | 姜献峰 孙毅 |
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| 作者单位： | 浙江工业大学机电工程学院CAD应用工程研究所 |
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| 基金项目： | 浙江省自然科学基金 (5 990 0 8)资助 |
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| 摘 要： | 利用拼接的圆渐开线实现对平面上的数据点及其切向的插值，通过解决两点及其切向的圆渐开线插值，以及在各种不同情况下的插值处理方法，提供了圆渐开线平面插值样条的生成算法，由于圆渐开线为凸曲线，其曲率与弧长成反比，因此其样条曲线对插值曲线的形状控制是有利的，并可作为圆弧样条插值方法的一种扩展。
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| 关 键 词： | 圆渐开线 插值 样条曲线 计算机辅助设计 曲线造型 |
| 修稿时间： | 2000年5月12日 |
Interpolation Spline with Involute of Circle and Its Application |
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| JIANG Xian-Feng,SUN Yi.Interpolation Spline with Involute of Circle and Its Application[J].Journal of Computer-Aided Design & Computer Graphics,2001,13(8):708-711. |
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| Authors: | JIANG Xian-Feng SUN Yi |
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| Abstract: | A new spline curve is presented which interpolates given points and tangent directions with piecewise involute of circle. Each pair of adjacent points with given tangent directions are interpolated in most cases by two segments of involute of circle. Since involute of circle has many good properties such as convexity, inverse variation of curvature with arc length, the spline is advantageous for shape control, and could act as an extension of circular arc spline. |
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| Keywords: | involute of circle interpolation spline curve algorithm |
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