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二阶曲线上的射影变换
作者姓名:杨俊林
作者单位:泰州师范高等专科学校,江苏,泰州,225300
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。

关 键 词:射影变换  透视  透视中心  射影映射

Projective Transformation On Curve of Second Order
Authors:YANG Jun-lin
Institution:YANG Jun-lin
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.
Keywords:projective transformation  perspective  centre of perspectivity  projecting mapping
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