中文摘要：

提出了一种能够将所有图像平等看待基于秩1的射影重建方法，该方法并不是直接求解射影空间结构点和投影矩阵，而是求解射影空间结构点的深度因子及投影矩阵．本文利用射影空间结构点可以由图像点及深度因子构成的特性，构造了一个秩为1的矩阵，用线性迭代的方法求取空间结构点的深度因子，最后完成射影重建．模拟实验和真实实验数据结果表明，该射影重建方法具有收敛性好、重投影误差小及运行速度快等优点．

英文摘要：

A linear iterative method for projective reconstruction based on rank 1 matrix containing the images of all points in all views, which can deal with all the images in a unified manner,is presented in the paper.In the method,the unknowns are the 3D motion and relative depths of the set of points,not their 3D positions. The coordinates of the points along the camera plane are given by their image positions. The knowledge of the coordinates enables us to solve the projective reconstruction problem by the linear iterative method based on the rank 1 matrix. Experiments with both simulated and real data show that the method for projective reconstruction has good property of convergence, computational cost and projective errors.