5 November 2024 Nonlinear correction method of digital fringe projection 3D measurement system based on precise precoding
Hanyu Hong, Zibo Zhao, Ying Zhu, Liang Ye, Penglin Xu, Minghao Zhou
Author Affiliations +
Abstract

The fringe projection 3D measurement method is a widely used 3D measurement technology, which utilizes a digital projector as the structural light source. However, the nonlinear intensity response of projectors results in non-sinusoidal fringe images captured by cameras, introducing phase errors that undermine measurement accuracy. We propose a nonlinear correction method based on precise pre-coding for digital fringe projection 3D measurement systems. By encoding only two sets of four-step phase-shifting fringe images into the projector and modeling the relationship among gamma value, pre-coding value, and ideal phase, the algorithm estimates accurate pre-coding values. Experimental validation demonstrates significant reductions in phase error standard deviation post-gamma correction on standard whiteboards, leading to an 84% increase in 3D point cloud height accuracy. In addition, the proposed method effectively mitigates the periodic water ripple phenomenon induced by nonlinear gamma effects. Experimental investigations on plaster sculpture and printed circuit board further validate the method’s superiority, achieving higher phase accuracy and point cloud precision, with a measurement accuracy of 0.1 mm.

© 2024 Society of Photo-Optical Instrumentation Engineers (SPIE)
Hanyu Hong, Zibo Zhao, Ying Zhu, Liang Ye, Penglin Xu, and Minghao Zhou "Nonlinear correction method of digital fringe projection 3D measurement system based on precise precoding," Optical Engineering 63(11), 114101 (5 November 2024). https://doi.org/10.1117/1.OE.63.11.114101
Received: 26 April 2024; Accepted: 14 October 2024; Published: 5 November 2024
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KEYWORDS
Phase shifts

Gamma correction

Point clouds

Projection systems

3D metrology

Cameras

3D projection

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