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Updated: Sep 11, 2025

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Vision-Ray-Calibration-Based Monocular Deflectometry by Poses Estimation from Reflections.

Cheng Liu1,2, Jianhua Liu1,3, Yanming Xing2

  • 1School of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, China.

Sensors (Basel, Switzerland)
|August 14, 2025
PubMed
Summary

This study introduces a new vision ray calibration (VRC) method for specular surface reconstruction. Integrated calibration significantly improves accuracy in specular surface measurement and reconstruction.

Keywords:
deflectometryintegral reconstructionslope distributionspecular surfacevision ray calibration

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Area of Science:

  • Optical metrology
  • Computer vision
  • Surface metrology

Background:

  • Specular surface reconstruction is crucial for various applications.
  • Existing methods face challenges in accuracy and calibration.

Purpose of the Study:

  • To develop an accurate method for specular surface reconstruction using a monocular deflectometric system.
  • To enhance the precision of slope distribution measurement for surfaces under test (SUT).

Main Methods:

  • Utilizing vision ray calibration (VRC) for pose estimation from reflections.
  • Implementing an iterative integrated calibration combining separate calibration results.
  • Employing Plücker space line intersection for enhanced calibration.

Main Results:

  • The integrated calibration significantly improves reconstruction accuracy compared to separate calibrations.
  • Accurate slope distribution of the SUT is obtained, enabling integral reconstruction.
  • Validated through both numerical simulations and experimental measurements.

Conclusions:

  • The proposed integrated calibration method offers superior accuracy for specular surface reconstruction.
  • This approach advances the capabilities of monocular deflectometric systems.
  • Provides a robust solution for precise surface metrology.