| 关于工程上常见曲面轮廓与轮廓线的研究 |
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| 引用本文： | 马丰宁,郭绍仲.关于工程上常见曲面轮廓与轮廓线的研究[J].天津大学学报(自然科学与工程技术版),1988(1). |
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| 作者姓名： | 马丰宁 郭绍仲 |
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| 作者单位： | 天津大学机械制造工程系
(马丰宁)，天津大学机械制造工程系(郭绍仲) |
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| 摘 要： | 本文给出了工程上常见的四种类型曲面,回转曲面、椭圆型曲面、二次曲面及直纹曲面的中心投影的轮廓和轮廓线方程。利用这些方程在计算机上画曲面,与目前国内外流行的方法相比较,具有速度快,内存省,不需很高的编程技巧,便于消隐等优点。本文给出的二次曲面轮廓线方程为一般的方程,这可方便的解决二次曲面之间及二次曲面与其它曲面之间的被遮挡的隐面的消除。最后本文给出了一个用计算机求尖点的非常方便的方法。
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| 关 键 词： | 中心投影 轮廓 轮廓线 二次曲面 回转曲面 椭园型曲面 直纹曲面 尖点 |
THE STUDY ON CENTRAL PROJECTION CONTOUR AND CONTOUR LINES OF SURFACES WIDELY KNOWN IN ENGINEERING |
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| Ma Fengning Guo Shaozhong.THE STUDY ON CENTRAL PROJECTION CONTOUR AND CONTOUR LINES OF SURFACES WIDELY KNOWN IN ENGINEERING[J].Journal of Tianjin University(Science and Technology),1988(1). |
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| Authors: | Ma Fengning Guo Shaozhong |
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| Institution: | Department of Mechanical Engineering |
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| Abstract: | This paper presents the contour line equations of central projection of four surfaces widely known in engineering (revolution surface, elliptic surface, quadric surface, and ruled surface). Compared with methods in current use, these equations for drawing surfaces on computers are quick in speed, less in store. They can eliminate hidden surface easily and do not require high program skill. The contour line equation of the quadric surface described here is a general equation. It can solve the problems which eliminate hidden surfaces produced by a quadric surface covering on other quadric surface or by a quadric surface covering on other surfaces. A convenient method is given to find the singular point on computers. |
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| Keywords: | central projection contour contour line quadric surface revolution surface elliptic surface ruled surface singular point |
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