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二阶曲线上的射影变换
Projective Transformation On Curve of Second Order
【摘要】 利用平面上的射影变换定义二阶曲线上的射影变换,并得到如下几个主要结论:二阶曲线上的射影变换一定是二阶曲线上有限个透视的合成;二阶曲线上的对合一定是透视;平面上的射影变换将二阶曲线上的透视变为二阶曲线上的透视。
【Abstract】 Use plane projective transformation definite the quadratic curve projective transformation,and obtains the following several main conclusions:In the quadratic curve projective transformation is certainly in the quadratic curve the limited perspective synthesis;In the quadratic curve involution is certainly a perspective;In the plane projective transformation becomes the projecting mapping in quadratic curve to the projecting mapping in quadratic curve.
【关键词】 射影变换;
透视;
透视中心;
射影映射;
【Key words】 projective transformation; perspective; centre of perspectivity; projecting mapping;
【Key words】 projective transformation; perspective; centre of perspectivity; projecting mapping;
- 【文献出处】 廊坊师范学院学报(自然科学版) ,Journal of Langfang Teachers College(Natural Science Edition) , 编辑部邮箱 ,2009年01期
- 【分类号】O185.1
- 【被引频次】1
- 【下载频次】132