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Search-free stereo-PMD: iterative reconstruction based on specular region consistency
Optics Letters
|March 13, 2026
Summary
Stereoscopic phase measuring deflectometry (stereo-PMD) improves specular surface measurement by using specular region consistency. This iterative method enhances accuracy and noise robustness without point cloud searches.
Area of Science:
- Optics and Photonics
- Metrology
- Computer Vision
Background:
- Stereoscopic phase measuring deflectometry (stereo-PMD) is a key technique for specular surface measurement.
- Existing stereo-PMD methods face challenges with unique spatial point identification and the position of the slope sampling plane (SSP).
- The normal consistency criterion, while useful, does not always yield unique results.
Purpose of the Study:
- To develop an iterative reconstruction method for stereo-PMD.
- To eliminate the need for point cloud search and explicit positional consideration of the SSP.
- To improve the accuracy and robustness of specular surface reconstruction.
Main Methods:
- An iterative reconstruction approach for stereo-PMD was proposed.
- The normal consistency criterion was replaced by the constraint of specular regions consistency.
- The position of the SSP was dynamically optimized using this new constraint.
Main Results:
- The proposed method significantly improves low-order accuracy by over 80%.
- Noise robustness was enhanced by 33% compared to traditional methods.
- Eliminated the complex point cloud search and SSP positional considerations.
Conclusions:
- The novel iterative method using specular region consistency offers superior performance for stereo-PMD.
- This approach enhances measurement accuracy and robustness for specular surfaces.
- The method provides a more efficient and reliable reconstruction process.

