矢量法判断一般位置相交的可见性  

Vector Method to Judge Intersection Visibility of General Positions

作　　者：姚继权[1] 李晓豁[1] 刘青科[1] 李国威[1] 

机构地区：[1]辽宁工程技术大学机械工程学院,辽宁阜新123000

出　　处：《工程图学学报》2008年第5期111-114,共4页Journal of Engineering Graphics

基　　金：辽宁工程技术大学大型工矿装备实验研究中心基金资助项目(F05010)

摘　　要：在画法几何中,求解一般位置直线与平面或两个一般位置平面相交问题时,大都采用辅助平面法,其求解过程比较复杂,可见性判断也时常成为难点。提出了采用投影变换求解上述问题的方法,并应用矢量法判断其可见性。先通过投影变换将一般位置平面变换为投影面垂直面,利用积聚性求出交点或交线,再分析相交几何元素的相对位置,用矢量法判断其可见性,解题过程思路清晰,方法简单。Judging visibility is difficult in solving general position intersection problems. Using projection transformation, a general position plane can be transformed to a perpendicular plane. The intersecting point or intersecting line can be obtained by using the accumulation. The relative positions of two intersecting elements are analyzed from spatial angle to judge the visibility. Using the projection transformation method, the invariable projection is also obtained by the oblique projection. The intersecting visibility of a general line and a general plane or two general planes is judged by vector method.

关 键 词：工程图学 可见性判断 矢量法 投影变换 

分 类 号：TB23[一般工业技术—工程设计测绘]