| 一种适合于工程应用的准C~1连续Bézier三角曲面及其构造方法 |
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| 引用本文： | 柯映林,周儒荣. 一种适合于工程应用的准C~1连续Bézier三角曲面及其构造方法[J]. 南京航空航天大学学报, 1993, 0(5) |
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| 作者姓名： | 柯映林 周儒荣 |
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| 作者单位： | 南京航空航天大学机械工程系(柯映林)，南京航空航天大学机械工程系(周儒荣) |
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| 摘 要： | 本文比较系统地讨论了Clough-Tocher三角形分割模型在Bézier三角曲面设计中的作用。并从工程应用的角度提出了一种以Clough-Tocher分割为基础,旨在原三角形区域上构造9参数Bézier三角曲面的新方法。这种新的9参数插值不仅能够消除Clough-Tother分割产生的畸变插值区域对插值曲面品质的影响,还能够有效地减轻一般9参数三次Bézier三角曲面片之间的尖端连接。本文将从工程应用的角度把这种插值曲面称为准C~1连续的9参数Bézier三角曲面。在一些实际应用中,这种准C~1连续的插值曲面对3D离散数据的拟合效果是令人满意的。
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| 关 键 词： | 计算几何 曲面 插值 Bézier三角曲面 准C~1插值 离散数据 |
A Quasi-C~1 Triangular Bezier Surface Fit in with Engineering Application and Its Construction |
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| Ke Yinglin Zhou Rurong. A Quasi-C~1 Triangular Bezier Surface Fit in with Engineering Application and Its Construction[J]. Journal of Nanjing University of Aeronautics & Astronautics, 1993, 0(5) |
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| Authors: | Ke Yinglin Zhou Rurong |
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| Affiliation: | Department of Mechanical Engineering |
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| Abstract: | This article systematically discussed the Clough-Tocher split triangle and its role in designing the triangular Bezier surface. From the angle of application, the authors put forword a new method of constructing quasi-C1 continuous triangular Bezier surface on given triangular meshes. This kind of interpolant surface can not only effectively lighten the sharp connections between two nine-parameter triangular Bezier patches, but also greatly decrease the number of defing triangular Bezier patches. With this quasi-C1 triangular Bezier surf ace, a satisfactory interpolant result to 3D scattered data may be obtained. |
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| Keywords: | computation geometry curved surf ace interpolation triangular Bezier surface quasi-C1 interpolant 3D scattered data |
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