| 自由曲面的求交及其过渡曲面的生成 |
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| 引用本文： | 唐泽圣,Franklin C. Crow.自由曲面的求交及其过渡曲面的生成[J].清华大学学报(自然科学版),1988(4). |
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| 作者姓名： | 唐泽圣 Franklin C. Crow |
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| 作者单位： | 清华大学计算机科学与技术系，美国施乐公司 Palo Alto研究中心 |
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| 摘 要： | 现有的为平面或二次曲面产生过渡曲面的算法均不能用于自由曲面。本文用双三次 Ｂｅｚｉｅｒ曲面片来表示自由曲面，用基于分割的递归算法求出自由曲面之间的交线，在这 基础上，提出并实现了围绕交线产生过渡曲面的算法，过渡曲面本身也是用双三次Ｂｅｚｉｅｒ 曲面来表示的。所述算法已在ＤＯＲＡＤＯ计算机上用ＣＥＤＡＲ语言实现，并作了实例计 算。
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| 关 键 词： | 自由曲面 交线 过渡曲面 |
Intersection of Free-form Surfaces and Generation of its Fillet |
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| Tang Zesheng.Intersection of Free-form Surfaces and Generation of its Fillet[J].Journal of Tsinghua University(Science and Technology),1988(4). |
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| Authors: | Tang Zesheng |
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| Abstract: | Existing algorithms for generating fillet of planar or quadric surfaces can not be applied to free-form surfaces. In this paper, free-form surfaces are represented by bicubic Bener patches. Recursive algorithm using the principle of subdivision is used to find the intersection of Bener surfaces. Then, the algorithm for generating fillets around the intersection is presented and implemented. The fillet surfaces are also represented by bicubic Bener surfaces. The program of this algorithm is written in CEDAR. It was run on DORADO computer at Palo Alto Research Center of Xerox Corporation. Some examples created by this algorithm are given. |
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| Keywords: | free-form surfaces intersection fillet |
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