Degeneracy from Twisted Cubic Under Two Views  

作　　者：吴毅红 兰添 胡占义 

机构地区：[1]National Laboratory of Pattern Recognition,Institute of Automation,Chinese Academy of Sciences

出　　处：《Journal of Computer Science & Technology》2010年第5期916-924,共9页计算机科学技术学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant Nos.60835003 and 60773039.

摘　　要：Fundamental matrix,drawing geometric relationship between two images,plays an important role in 3- dimensional computer vision.Degenerate configurations of the space points and the two camera optical centers affect stability of computation for fundamental matrix.In order to robustly estimate fundamental matrix,it is necessary to study these degenerate configurations.We analyze all the possible degenerate configurations caused by twisted cubic and give the corresponding degenerate rank for each case.Relationships with general degeneracies,the previous ruled quadric degeneracy and the homography degeneracy,are also reported.Fundamental matrix,drawing geometric relationship between two images,plays an important role in 3- dimensional computer vision.Degenerate configurations of the space points and the two camera optical centers affect stability of computation for fundamental matrix.In order to robustly estimate fundamental matrix,it is necessary to study these degenerate configurations.We analyze all the possible degenerate configurations caused by twisted cubic and give the corresponding degenerate rank for each case.Relationships with general degeneracies,the previous ruled quadric degeneracy and the homography degeneracy,are also reported.

关 键 词：fundamental matrix twisted cubic ruled quadric degenerate configuration 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]