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Related Experiment Video

Updated: Oct 17, 2025

Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating

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Published on: October 11, 2016

Phase Error Analysis and Correction for Crossed-Grating Phase-Shifting Profilometry.

Fuqian Li¹, Wenjing Chen¹

¹Department of Opto-Electronics, Sichuan University, Chengdu 610065, China.

Sensors (Basel, Switzerland)

|October 13, 2021

Summary

Crossed-grating phase-shifting profilometry (CGPSP) for 3D shape measurement is sensitive to non-linearity. This study introduces gamma correction to effectively reduce errors, enabling faster and more reliable measurements.

Keywords:

crossed grating projection inverse pattern projection nonlinearity phase error analysis phase error correction phase shifting profilometry

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Last Updated: Oct 17, 2025

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Area of Science:

Optical Metrology
3D Shape Measurement

Background:

Crossed-grating phase-shifting profilometry (CGPSP) is valuable for 3D shape measurement.
CGPSP's sensitivity to digital fringe projection non-linearity is a significant challenge.

Purpose of the Study:

To analyze phase errors caused by non-linearity in CGPSP.
To develop and compare methods for mitigating non-linearity errors.

Main Methods:

Established a mathematical model to analyze non-linearity-induced phase errors.
Proposed a double five-step algorithm for passive non-linearity suppression.
Introduced a precoding gamma correction method for active non-linearity attenuation.

Main Results:

The active gamma correction method is more effective and requires fewer fringe patterns than passive methods.
Demonstrated reduced non-linearity error using the proposed gamma correction.
Achieved faster and more reliable inverse pattern projection with CGPSP and gamma correction.

Conclusions:

Non-linearity significantly impacts CGPSP accuracy.
Active gamma correction offers a superior solution for mitigating non-linearity in CGPSP.
The developed methods enhance the reliability and efficiency of 3D shape measurement using CGPSP.