On Error Assessment in Stereo-based Deformation Measurements |
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| Authors: | Y-Q Wang M A Sutton X-D Ke H W Schreier P L Reu T J Miller |
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| Institution: | (1) Department of Mechanical Engineering, University of South Carolina, 300 South Main Street, Columbia, SC 29208, USA;(2) Correlated Solutions Inc, 126 Kaminer Way Parkway Suite 1A, Columbia, SC 29210, USA;(3) Sandia National Laboratory, PO Box 5800, Albuquerque, NM 87185, USA;(4) Sandia National Laboratory, Mechanical Environments, Dept. 1534. MS-1139, P.O. Box 5800, Albuquerque, NM 87185-1139, USA;; |
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| Abstract: | Using the basic equations for stereo-vision with established procedures for camera calibration, the error propagation equations
for determining both bias and variability in a general 3D position are provided. The results use recent theoretical developments
that quantified the bias and variance in image plane positions introduced during image plane correspondence identification
for a common 3D point (e.g., pattern matching during measurement process) as a basis for preliminary application of the developments
for estimation of 3D position bias and variability. Extensive numerical simulations and theoretical analyses have been performed
for selected stereo system configurations amenable to closed-form solution. Results clearly demonstrate that the general formulae
provide a robust framework for quantifying the effect of various stereo-vision parameters and image-plane matching procedures
on both the bias and variance in an estimated 3D object position. |
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