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High-accuracy cross-media 3D measurement based on a ray model with unknown refractive
Optics Letters
|December 24, 2025
Summary
This study presents a new 3D measurement method to accurately capture object dimensions within protective enclosures, even with unknown refractive media. The technique corrects for refraction, ensuring precise dimensional data for conservation and restoration applications.
Area of Science:
- Optical Metrology
- 3D Measurement
- Image Processing
Background:
- Accurate 3D measurements are crucial for relic conservation and restoration.
- Protective enclosures are often necessary, introducing refractive media that distort measurements.
- Existing methods struggle with unknown refractive indices, leading to errors.
Purpose of the Study:
- To develop a general-purpose calibration and reconstruction method for 3D measurement through unknown refractive media.
- To achieve high-accuracy 3D dimensional data without refraction errors.
- To enable precise measurements within protective enclosures for applications like artifact preservation.
Main Methods:
- A ray model is employed to directly determine height and lateral coordinates using phase information.
- A mapping is established between imaging plane pixels and emitted light rays.
- A subsequent mapping links phase data to height, allowing direct coordinate determination.
Main Results:
- A fringe projection profilometry (FPP) system was built using a glass box and calibration target.
- 3D measurements were successfully performed on a standard plane and a sphere.
- The proposed method demonstrated significant effectiveness and high measurement accuracy.
Conclusions:
- The developed method accurately performs 3D measurements in the presence of unknown refractive media.
- This technique eliminates refraction errors, providing reliable dimensional data.
- The approach is effective for applications requiring precise measurements within protective enclosures.

