二阶曲线上的射影变换 |
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作者姓名: | 杨俊林 |
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作者单位: | 泰州师范高等专科学校,江苏,泰州,225300 |
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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。
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关 键 词: | 射影变换 透视 透视中心 射影映射 |
Projective Transformation On Curve of Second Order |
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Authors: | YANG Jun-lin |
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Institution: | YANG Jun-lin |
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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. |
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Keywords: | projective transformation perspective centre of perspectivity projecting mapping |
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