二阶曲线间的射影映射  

Projection Mapping is between Two Quadratic Curves

作　　者：杨俊林[1] 

机构地区：[1]泰州师范高等专科学校数理科学系,江苏泰州225300

出　　处：《大学数学》2010年第5期106-108,共3页College Mathematics

摘　　要：平面上的射影变换,将二阶曲线变为另一二阶曲线,这个射影变换也可以称为这两个二阶曲线间的射影映射.若两个二阶曲线相切,则存在以切点为射影中心的两个二阶曲线间的射影映射;若两个二阶曲线相离,则存在以两个二阶曲线公切线交点为射影中心的射影映射;若两个二阶曲线相交,则存在以其中一交点为射影中心的两个二阶曲线间的射影映射.In the plane projective,transformation becomes one quadratic curve to another quadratic curve,this projective transformation also may be called the projection mapping between the two quadratic cuves.If two quadratic curves contacting,then projection mapping is existed between the two quadratic curves to take the tangential point as the center of projection;If two quadratic curves leave,then projection mapping is existed between the two quadratic curves to take common tangent point of intersection as the center of projection;If two quadratic curves intersections,then projection mapping is existed between the two quadratic curves to take point of intersection as the center of projection.

关 键 词：二阶曲线 射影映射 射影变换 

分 类 号：O185.1[理学—数学]