Hand to sensor calibration:: A geometrical interpretation of the matrix equation AX=XB

被引:70
作者
Fassi, I
Legnani, G
机构
[1] Univ Brescia, Dipartimento Ingn Meccan, I-25123 Brescia, Italy
[2] CNR, ITIA, I-20131 Milan, Italy
来源
JOURNAL OF ROBOTIC SYSTEMS | 2005年 / 22卷 / 09期
关键词
D O I
10.1002/rob.20082
中图分类号
TP24 [机器人技术];
学科分类号
080202 ; 1405 ;
摘要
In this paper, the matrix equation AX=XB used for hand to sensor calibration of robot-mounted sensors is analyzed using a geometrical approach. The analysis leads to an original way to describe the properties of the equation and to find all of its solutions. It will also be highlighted why, when multiple instances A(i)X=XBi (i=1,2,...) of the equation are to be solved simultaneously, the system is overconstrained. Finally, singular cases are also discussed. (C) 2005 Wiley Periodicals, Inc.
引用
收藏
页码:497 / 506
页数:10
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