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Phase-measuring deflectometry based on the exponential orthogonal grating method.

Zhe Li, Shuangbao Wang

|March 17, 2026

Summary

This summary is machine-generated.

This study introduces an exponential orthogonal grating method to improve 3D shape measurement accuracy. The new technique compensates for nonlinear distortions, enhancing precision and efficiency in phase-measuring deflectometry (PMD).

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Area of Science:

Optics and Photonics
Metrology
Computer Vision

Background:

Phase-measuring deflectometry (PMD) is crucial for high-precision 3D shape measurement.
Orthogonal grating methods reduce pattern count but are sensitive to system nonlinearities, causing phase errors.
Existing methods struggle with nonlinear distortions, impacting measurement accuracy.

Purpose of the Study:

To develop a novel phase acquisition method for PMD that overcomes nonlinearity issues.
To improve the accuracy and efficiency of 3D shape measurement using PMD.
To reduce the number of projection patterns required in orthogonal grating methods.

Main Methods:

Proposed an exponential orthogonal grating phase acquisition method.
Utilized mathematical properties of exponential functions to compensate for gamma effect nonlinearities.
Compared the proposed method against conventional non-composite sinusoidal fringe and sinusoidal orthogonal grating methods.

Main Results:

The exponential orthogonal grating method significantly improves measurement accuracy under nonlinear conditions.
Demonstrated theoretical compensation for nonlinear distortions using simulations and experiments.
Reduced the number of required projection patterns compared to conventional methods.

Conclusions:

The proposed exponential orthogonal grating method enhances PMD accuracy and efficiency.
This technique effectively mitigates nonlinear distortions, outperforming existing approaches.
Offers a more robust solution for precise 3D shape measurement in challenging conditions.