Evaluating parametric uncertainty using non-linear regression in fringe projection

Gayton, George; Isa, Mohammed; Leach, Richard K.

Abstract

Optical coordinate measurement systems, such as fringe projection systems, offer fast, high-density measurements of arbitrary surface topographies. The versatility, speed and information density of fringe projection measurements make them attractive as in-situ measurement devices and autonomous inspection systems. However, the complex nature of the measurement process makes evaluating uncertainty from a fringe projection measurement complex – even in the hypothetical simple case where the accuracy of a measurement is limited only by the accuracy in the quantities that define a measurement from an indication; named system parameters here. In this paper, by validating a series of assumptions, a method to explore the uncertainty in the system parameters of a fringe projection system is given. The results of this investigation imply the common distortion model (the Brown-Conrady model) is not specific enough to the camera or projector of a fringe projection system to evaluate its uncertainty.

• Journal Article Type: Article
• Acceptance Date: Nov 6, 2022
• Online Publication Date: Dec 2, 2022
• Publication Date: 2023-03
• Deposit Date: Dec 11, 2022
• Publicly Available Date: Dec 15, 2022
• Journal: Optics and Lasers in Engineering
• Print ISSN: 0143-8166
• Publisher: Elsevier BV
• Peer Reviewed: Peer Reviewed
• Volume: 162
• Article Number: 107377
• DOI: https://doi.org/10.1016/j.optlaseng.2022.107377
• Keywords: Electrical and Electronic Engineering; Mechanical Engineering; Atomic and Molecular Physics, and Optics; Electronic, Optical and Magnetic Materials
• Public URL: https://nottingham-repository.worktribe.com/output/14847050
• Publisher URL: https://www.sciencedirect.com/science/article/pii/S0143816622004274?via%3Dihub