| 直纹二阶曲面的射影形成及其CAD绘图 |
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| 引用本文： | 王书文,黄星梅,贺朝霞.直纹二阶曲面的射影形成及其CAD绘图[J].苏州科技学院学报(自然科学版),2006,23(3):36-40. |
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| 作者姓名： | 王书文 黄星梅 贺朝霞 |
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| 作者单位： | 1. 苏州科技学院,基础实验中心,江苏,苏州,215011
2. 湖南大学,机械与汽车工程学院,湖南,长沙,410082 |
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| 摘 要： | 由平面场的一维线束射影对应衍生出空间场的二维面束射影对应,研究了直纹二阶曲面射影生成新方法。讨论了两射影对应面束对应平面的方向数之间的关系式,推导出由射影对应面束构成的直纹二阶曲面的通用解析式及用AutoCAD绘制曲面的方法。
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| 关 键 词： | 二阶曲面 面束 射影对应 CAD绘图 |
| 文章编号： | 1672-0679(2006)03-0036-05 |
| 收稿时间： | 2006-04-12 |
| 修稿时间： | 2006年4月12日 |
The Projective Formation of Quadratic Straight Surface and CAD Drawing |
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| WANG Shu-wen,HUANG Xing-mei,HE Zhao-xia.The Projective Formation of Quadratic Straight Surface and CAD Drawing[J].Journal of University of Science and Technology of Suzhou,2006,23(3):36-40. |
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| Authors: | WANG Shu-wen HUANG Xing-mei HE Zhao-xia |
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| Institution: | 1.Centre of basic Lab., USTS, Suzhou 215011 ,China; 2.College of Mechanical and Automotive Engineering, Hunan University, Changsha 410082,China |
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| Abstract: | As two-dimensional projective correspondence of pencil of planes derives from one-dimension projective correspondence of pencil of lines in space field,this paper discusses a new method about how to form quadratic straight surface and the relational expression between the two projective correspondences of pencil of planes.Further,the authors deduce the common analytic expression of quadratic straight surface formed by the projective correspondence of pencils of plane and the method for drawing curved surface by computer. |
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| Keywords: | quadratic surface pencil of planes projective correspondence CAD drawing |
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