Probability-distribution-based Gamma correction method in fringe projection profilometry

Long Ma; Lingxuan Tang; Xin Pei; Benyuan Sun; Ruijie Qian; Yuan Zhao

doi:10.1117/12.2639276

19 December 2022 Probability-distribution-based Gamma correction method in fringe projection profilometry

Long Ma, Lingxuan Tang, Xin Pei, Benyuan Sun, Ruijie Qian, Yuan Zhao

Author Affiliations +

Proceedings Volume 12319, Optical Metrology and Inspection for Industrial Applications IX; 1231903 (2022) https://doi.org/10.1117/12.2639276
Event: SPIE/COS Photonics Asia, 2022, Online Only

Abstract

This paper proposed a Gamma effect correction method based on the probability distribution function (PDF) for suppressing phase nonlinearity error in fringe projection profilometry. In this work, the periodicity of phase with Gamma effect is first analyzed, and nonlinear wrapped phase is modeled as superposition of normal wrapped phase with a sinusoidal function. Afterwards, a series of reference phases with Gamma factors ranging from 1 to 3 is constructed and the corresponding PDF is calculated. Then the optimal precoding factor γp of projected fringe is obtained by applying Jensen-Shannon (JS) divergence matching between the PDF of measured phase and constructed reference phases. In simulations, the availability of proposed method is investigated, where RMSE decreases from 0.218rad to 0.016rad. In experiments, the turbine blade is tested and compared with calibrated values where RMS of measured deviations after correction has decreased from 0.269mm to 0.095mm. All the investigations have proved the high reliability of proposed method.

Conference Presentation

Citation Download Citation

Long Ma, Lingxuan Tang, Xin Pei, Benyuan Sun, Ruijie Qian, and Yuan Zhao "Probability-distribution-based Gamma correction method in fringe projection profilometry", Proc. SPIE 12319, Optical Metrology and Inspection for Industrial Applications IX, 1231903 (19 December 2022); https://doi.org/10.1117/12.2639276

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