| 一种二阶连续的插值曲线和曲面 |
| |
| 引用本文： | 张文祖,胡瑞安,杨叔子.一种二阶连续的插值曲线和曲面[J].华中科技大学学报(自然科学版),1992(Z1). |
| |
| 作者姓名： | 张文祖 胡瑞安 杨叔子 |
| |
| 作者单位： | 华中理工大学机械工程一系
(张文祖，胡瑞安)，华中理工大学机械工程一系(杨叔子) |
| |
| 基金项目： | 国家自然科学基金资助项目 |
| |
| 摘 要： | 提出一种具有局部控制性能的二阶连续的三次插值样条曲线和双三次插值样条曲面.这种曲线和曲面克服了B-样条曲线和曲面在进行曲线和曲面插值中的一些缺点,是对B2样条的一种推广.
|
| 关 键 词： | 机械零件 插值样条 曲线 曲面 样条函数 |
A Second Order Continuous Interpolation Curve and Surface |
| |
| Zhang Wenzu Hu Ruian Yang Shuzi.A Second Order Continuous Interpolation Curve and Surface[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1992(Z1). |
| |
| Authors: | Zhang Wenzu Hu Ruian Yang Shuzi |
| |
| Institution: | Zhang Wenzu Hu Ruian Yang Shuzi |
| |
| Abstract: | New cubic splines that can overcome the B-spline's weakness of not passing through the interpolation points for curves or surfaces fitting are introduced. The desirable properties they possess include G2 continuity and localization. The C2 continuous splines with explicit expression, as a special case of G2 continuous splines, are also presented. They have a parameter that can be used to modify the shape of curves or surfaces. With a given value of this parameter, the C2 continuous spline given in this paper is a B2-spline. |
| |
| Keywords: | mechanical part spline interpolation curve surface spline function |
| 本文献已被 CNKI 等数据库收录！ |
