二维射影对应成透视对应的几何条件与代数条件  

Geometric and Algebraic Sufficient and Necessary Conditions of Projective Mapping Becoming Perspective Mapping in Two Dimensional Case

作　　者：玉素音·艾山 

出　　处：《新疆大学学报（自然科学维文版）》2010年第2期25-31,共7页JOURNAL OF XINJIANG UNIVERSITY

摘　　要：本文利用一维射影对应与一维透视对应的关系及一维射影对应成透视对应的充要条件，分别提出并证明二维射影对应成透视对应的几何重要条件和代数充要条件．最后还提出二维射影对应成透视对应的一个必要条件。In this paper we introduce and prove geometric and algebraic sufficient and necessary conditions of projective mapping becoming perspective mapping in two dimensional case by using the relations between projective mapping and perspective mapping in one dimensional case. And finally, we give another necessary condition of projective mapping becoming perspective mapping m two dimensional case.

关 键 词：射影对应 透视对应 自对应点 点 直线 共点线 共线点 特征矩阵 特征方程 

分 类 号：O185.1[理学—数学]