用拓扑变换法设计不规则光滑曲面  

Method of Designing Irregular Smooth Curved Surface With Topological Maps

作　　者：王薇[1] 郭子海[2] 

机构地区：[1]哈尔滨工业大学工程图学教研室 [2]哈尔滨工业大学信息处理与模式识别教研室

出　　处：《哈尔滨工业大学学报》1990年第5期95-100,共6页Journal of Harbin Institute of Technology

摘　　要：设计不规则光滑曲面的方法很多,但拓扑变换法以其作图简单、准确、计算方便而独具特色。此方法始于苏联B. H. KOBTYH的论文,由龙译斌教授在《几何变换》一书中引用。但原作图由于投射中心的位置无具体的选定方法,故所生成的设计曲面不是唯一的。本文在原有基础上,增加了数学推导,由实测边界数据计算出投射中心的准确位置,并对设计误差进行了测算,从而使该方法更加完善。There are many method to design irregular smooth curved surface. The unique feature of topological maps axe simple, accurate and convenient for calculation. The method is beginning from the thesis of B. H KOBTYH, it is quoted by Prof. Long Zebin in the book 'geometric transformation' . Since the position selection of projection center is not specific method in its graphic, the produced curved surface is not unique. In this paper, based upon it, making mathematical derivation, calculation of the accurate position of projection center from the actual boundary data taking measurement and calculation for the design error make the method being perfected.

关 键 词：投射中心 不规则曲面 拓扑变换 

分 类 号：O182.2[理学—数学]