一种新的空间透视不变量计算方法

A New Method for Computing Geometric Invariants

首先分析了空间透视不变量的一些性质．根据三维空间点和透视投影平面的共线性理论，推导出了空间Ｎ点不变量的数目和图象平面中匹配点数目之间的相互关系；通过对投影空间的分析，提出了一种计算空间６点不变量的新方法，将不变量的求解转换为对非线性方程组的求解．文中分析了该方法的特点。

In this paper some features of geometric invariants are analyzed. Based on the colinearity theorem of 3D points and projective plane, the relationship between the number of invariants and the number of match points in image plane is derived. According to the analysis of projective space, a new method for computing geometric invariants is given. It translates the computation of invariants into a solution of nonlinear equations. Also some characteristics of this method are presented. Experimental results show that this method is very simple and robust to noise.