柱锥面交线研究  

Research on Intersections of Cone and Cylinder

作　　者：胡志刚[1] 郑秋白 

机构地区：[1]河南科技学院机电学院,河南新乡453003 [2]驻马店市宇畅路桥养护工程有限公司,河南驻马店463000

出　　处：《图学学报》2015年第5期671-677,共7页Journal of Graphics

基　　金：国家自然科学基金资助项目(51375149)

摘　　要：论文就相交切面型回转面中的圆柱、圆锥面交线的计算进行详细探讨,对不同输入参数下交线产生的结果进行分析,为CAD中锥柱求交的部分提供一种有效的算法基础。给出了圆柱、圆锥表面交线存在的判别式,对交线在特殊位置下存在的参数条件、不同交线数量及形态特点进行了解析和几何分析,对一般位置下圆柱、圆锥面存在交线的特殊情况,即表面切点的计算进行了方法讨论;提供了相交圆柱、圆锥表面及其交线参数化绘图的程序设计思路和所涉及到的一些关键问题的处理方法,应用程序以对话框输入初始参数,能实现自动绘制圆柱、圆锥面及其交线多面投影视图、尺寸标注及将主要尺寸、参数及交线的坐标数据写入数据文件。This paper aims is to discuss the intersections determination of two plane tangent convolutes, a cylinder and a cone, and to analyze different intersection results under different parameters entry, so as to deliver a kind of effective mathematical basis for CAD intersection construction. For a cylinder and a cone, the existence-judgment equation of intersection lines is given. It is also analyzed that intersection existence conditions, numbers and shape properties in both parametric formulas and geometry at special spatial positions, while the method discussion was made of getting exact tangent point of two surfaces at normal spatial position. The structural diagram is delivered of parametric drawing program of multiview, some processing methods coping with several key problems of drawing intersection curve are listed, too. Different intersection lines resulting in connection with corresponding parameters entry are analyzed. The implementation has the functions of multiview drawing, dimensioning and writing main parameters and coordinate data to a data file for intersection lines.

关 键 词：回转面 交线 参数方程 绘图 

分 类 号：TP391.7[自动化与计算机技术—计算机应用技术]