基于场景平面诱导单应对Sherman-Morrison公式的证明  

The proof of Sherman-Morrison theorem based on the homography induced by the ocene plane

作　　者：丁文国[1] 张华[1] 

机构地区：[1]黄山学院数学系,安徽屯溪245000

出　　处：《安徽大学学报（自然科学版）》2004年第4期11-14,共4页Journal of Anhui University(Natural Science Edition)

摘　　要：利用计算机视觉中射影重构方法来研究一类矩阵的求逆问题,首先通过场景平面诱导两幅图像之间的单应,然后利用射影重构的多义性,求出两图像单应的逆矩阵,来证明Sherman-Morrison公式.使矩阵运算的一些问题得到简化.本文给出了以其它学科来解决纯数学的一点较新的思路.This paper studys the issue on the inverse of a class matrix by using the projective reconstruction in computer vision.It demonstrates the Sherman-Morrison formula by first inducing homography between two pictures through the ocene plane, and also amounting to the inverse matrix of homography of the two pictures through using ambiguity of projective reconstruction.Which simply the complex problem.The present paper provides a novel way of thought in solution of the mathematical problems by making use of other subjects.

关 键 词：摄像机矩阵 诱导单应 逆矩阵 Sherman-Morrison公式 计算机视觉 射影重构 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术] O151.21[自动化与计算机技术—计算机科学与技术]