Opto-Electronic Engineering, Volume. 52, Issue 7, 250071(2025)

Three-dimensional shape measurement of front surface in transparent objects by phase measuring deflectometry for parasitic reflection suppression

Shuyue Wang1, Yubo Ni1, Nan Gao1, Zhaozong Meng1, Zeqing Yang1, Guofeng Zhang2, Wei Yin3, Hongwei Zhao2,3, and Zonghua Zhang1,4、*
Author Affiliations
  • 1School of Mechanical Engineering, Hebei University of Technology, Tianjin 300401, China
  • 2School of Mechanical Engineering, Xi’an Jiaotong University, Xi'an, Shaanxi 710049, China
  • 3National Key Laboratory of Strength and Structural Integrity, Aircraft Strength Research Institute of China, Xi’an, Shaanxi 710065, China
  • 4Innovation and Research Institute of Hebei University of Technology in Shijiazhuang, Shijiazhuang, Hebei 050299, China
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    When measuring the front surfaces of transparent objects by using phase measuring deflectometry (PMD), the reflections from the front and back surfaces of the object are superimposed, resulting in parasitic reflection, which makes it difficult to accurately reconstruct the front surface of objects. In this paper, we proposed a front-surface PMD method that suppresses parasitic reflections of transparent objects. Firstly, the initial phase of the front surface was extracted by continuous wavelet transform. Then, an optimized model was constructed by combining the multi-frequency phase-shifting method to obtain the accurate phase. Finally, the gradient integral was used to restore the three-dimensional (3D) morphology of the transparent object surface. The surfaces of transparent glasses and plano-convex lenses were measured using the above theory. Compared with the multi-frequency phase-shifting method, the reconstruction error of the 3 mm glass plate decreased from 21.81 μm to 15.72 μm, the error of the 4 mm glass plate is reduced from 19.98 μm to 13.46 μm, and the radius of curvature error of the plano-convex lens is reduced from 39.44 μm to 16.59 μm, thereby improving the accuracy of the front surface of transparent objects measurements.

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    Shuyue Wang, Yubo Ni, Nan Gao, Zhaozong Meng, Zeqing Yang, Guofeng Zhang, Wei Yin, Hongwei Zhao, Zonghua Zhang. Three-dimensional shape measurement of front surface in transparent objects by phase measuring deflectometry for parasitic reflection suppression[J]. Opto-Electronic Engineering, 2025, 52(7): 250071

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    Paper Information

    Category: Article

    Received: Mar. 8, 2025

    Accepted: May. 6, 2025

    Published Online: Sep. 4, 2025

    The Author Email: Zonghua Zhang (张宗华)

    DOI:10.12086/oee.2025.250071

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