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Dynamic phase-differencing profilometry with number-theoretical phase unwrapping and interleaved projection.

Zhimi Wei, Yiping Cao, Haitao Wu

|June 11, 2024

Summary

A new dynamic phase-differencing profilometry (DPDP) method enhances high-speed 3D measurement. It achieves high computational efficiency, robustness, and reconstruction speed simultaneously.

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Area of Science:

Optics and Photonics
Computer Vision
Metrology

Background:

High-speed 3D measurement demands high computational efficiency, algorithmic robustness, and reconstruction ratio.
Existing methods face challenges in simultaneously optimizing these parameters.

Purpose of the Study:

To propose a novel dynamic phase-differencing profilometry (DPDP) method for high-speed 3D measurement.
To address the limitations of current 3D measurement techniques.

Main Methods:

Developed a DPDP approach using a minimum of three phase-shifting sinusoidal patterns.
Introduced a DPDP-based number-theoretical temporal phase unwrapping (NT-TPU) algorithm with complementary gratings.
Implemented a pentabasic interleaved projection (PIP) strategy for improved reconstruction ratio.

Main Results:

The DPDP method significantly improves computational efficiency by directly resolving phase differences.
The NT-TPU algorithm demonstrates high robustness in phase unwrapping under relaxed restrictions.
The PIP strategy enhances the reconstruction ratio to one reconstruction per 1.67 patterns.

Conclusions:

The proposed DPDP method successfully integrates high computational efficiency, algorithmic robustness, and a high reconstruction ratio.
This technique shows significant potential for advanced high-speed 3D measurement applications.