| 利用Coons曲面构造曲面上的G1插值曲线 |
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| 引用本文： | 王小平,周儒荣,王志国,张丽艳.利用Coons曲面构造曲面上的G1插值曲线[J].东南大学学报,2004,20(2):187-190. |
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| 作者姓名： | 王小平 周儒荣 王志国 张丽艳 |
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| 作者单位： | 南京航空航天大学CAD／CAM工程研究中心，南京210016 |
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| 基金项目： | 国家自然科学基金，江苏省自然科学基金 |
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| 摘 要： | 利用双三次Coons曲面, 给出了一种对隐式或参数曲面上任意点序列及切方向给定时的G1连续插值方法.首先构造G1连续的组合Coons曲面, 其次求该组合曲面片与已知曲面的交线. 插值曲线是组合Coons曲面片与给定曲面的交线. 由于引入了若干控制参数, 可对曲线进行交互修改使得其最终的形状更好地满足我们的要求. 实验证明该方法简单可行, 适用于计算机辅助设计、计算机图形学等领域.
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| 关 键 词： | 插值 Coons曲面 G1连续 曲面求交 |
Constructing G1 interpolation curves on surfaces with Coons surface |
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| Wang Xiaoping,Zhou Rurong,Wang Zhiguo,Zhang Liyan.Constructing G1 interpolation curves on surfaces with Coons surface[J].Journal of Southeast University(English Edition),2004,20(2):187-190. |
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| Authors: | Wang Xiaoping Zhou Rurong Wang Zhiguo Zhang Liyan |
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| Abstract: | Using a bi-cubic Coons surface, a new method for G 1-continuous interpolation of an arbitrary sequence of points on an implicitly or parametrically defined surface with a specified tangent direction at every point was presented. Firstly construct a G 1-continuous composite Coons surface patch, then compute the intersection of the surface patch and the given surface. The desired interpolation curve is the intersection curve. Unlike some existing methods, introduced into the method were several free parameters that can be used in subsequent interactive modification so that the last curve's shape meets our demand. Experiments demonstrate the method is simple, feasible and applicable to computer aided design and computer graphics, etc. |
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| Keywords: | interpolation Coons surface G1 continuity surface-to-surface intersection |
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