Accurate Determination of Object Position from Imprecise Data

[+] Author and Article Information
K. C. Gupta, P. Chutakanonta

Department of Mechanical Engineering (M/C 251), University of Illinois at Chicago, Chicago, Illinois 60607-7022

J. Mech. Des 120(4), 559-564 (Dec 01, 1998) (6 pages) doi:10.1115/1.2829315 History: Received February 01, 1998; Revised September 01, 1998; Online December 11, 2007


The problem of accurate determination of object position from imprecise and excess measurement data arises in kinematics, biomechanics, robotics, CAD/CAM and flight/vehicle simulator design. Several methods described in the literature are reviewed. Two new methods which take advantage of the modern matrix oriented software (e.g., MATLAB, IMSL, EISPACK) are presented and compared with a “basic” method. It is found that both of the proposed decomposition methods (I: SVD/QR and II: SVD/QS) give better absolute results than a “basic” method available from the text books. On a relative basis, the second method (SVD/QS Decomposition) gives slightly better results than the first method (SVD/QR Decomposition). Examples are presented for the cases when the points chosen are nearly dependent and when the independent points have small random errors in their coordinates.

Copyright © 1998 by The American Society of Mechanical Engineers
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