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Thread View: sci.math.num-analysis
1 messages
1 total messages Started by Stewart Moorehead Thu, 12 Nov 1992 14:17
Solution of matrix equation AX=XB
#781
Author: Stewart Moorehead
Date: Thu, 12 Nov 1992 14:17
18 lines
1453 bytes
 I am recording the 6D position (x,y,z,roll,pitch,yaw) of an object
 using two independant devices. Since these devices have different
 reference frames a transformation matrix, call it X, must be
 calculated. To calculate X, the equation AX=XB must be solved, with A
 and B being known 4x4 matrices. I have found two methods which claim to
 solve for X. They were proposed by Roger Tsai and Reimar Lenz (June
 1989 IEEE Transactions on Robotics and Automation) and by C. C. Wang
 (April 1992). Both of these methods work if I pre-define X and create
 some 'cooked' data around it, however when I use actual data that was
 recorded using teh devices I get an incorrect answer. The devices being
 used are any two of : Northern Digital's Optotrak, Logitech's 3D mouse,
 and Polhemus Fastrak. I feel that the inherent error in these devices
 may be too great for the methods being used.
 I would appreciate it if anyone has information regarding these methods
 or the devices being used. If anyone has solved a similar problem
 please respond.
 You can send mail to sjm.dretor.dciem.dnd.ca
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