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平面射影几何中二维射影变换不变元素的分布
引用本文:周明旺.平面射影几何中二维射影变换不变元素的分布[J].通化师范学院学报,2010,31(4):13-15.
作者姓名:周明旺
作者单位:连云港师范高等专科学校,数学系,江苏,连云港,222006
摘    要:基于平面射影几何中二维射影变换不变元素的存在性及其求法,讨论了二维射影变换不变点与不变直线结合关系的分布特征,从理论上分析了二维射影变换不变元素的结构,并给出了不变元素的分布对射影变换的影响.

关 键 词:二维射影变换  不变点  不变直线  分布特征  影响

Distribution of Invariant Elements of Two-dimensional Projective Transformation in Plane Projective Geometry
ZHOU Ming-wang.Distribution of Invariant Elements of Two-dimensional Projective Transformation in Plane Projective Geometry[J].Journal of Tonghua Teachers College,2010,31(4):13-15.
Authors:ZHOU Ming-wang
Institution:ZHOU Ming-wang(Department of Mathematics,Lianyungang Teachers College,Lianyungang,Jiangsu 222006,China)
Abstract:This article mainly discussed the distributed characteristics of the associative relation between the invariant point and the invariant straight line in terms of the existence of invariant elements and its solution for two-dimensional projective transformation.The structure of the invariant elements of two-dimensional projective transformation is analyzed theoretically,on which the influence of the invariant elements distribution is proposed furthermore.
Keywords:two-dimensional projective transformation  invariant point  invariant straight line  distributed characteristic  influence  
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