An efficient calibration model for fringe projection profilometry using inclined Lambertian plane based on photometric stereo. (15th May 2023)

• Record Type: Journal Article
• Authors: Ma, Long; Guo, Shengwei; Pei, Xin; Tang, Lingxuan; Qian, Ruijie
• Is Part Of: Measurement. Volume 212(2023)
• Publication Date: 2023-05-15
• Subjects: Fringe projection profilometry -- Calibration model -- Photometric stereo -- 3D measurement; Weights and measures -- Periodicals; Measurement -- Periodicals; Measurement; Weights and measures; Periodicals; 530.8
• DOI: 10.1016/j.measurement.2023.112684
• Languages: English
• ISSNs: 0263-2241

Abstract

Highlights: The novel photometric stereo based calibration model for fringe projection profilometry which successfully combines photometric stereo with conventional fringe projection profilometry. The direct computation of all the critical coefficients without nonlinear fitting nor a high precision gauge object. Independent system combination which could be performed in some necessary applications. Abstract: System calibration is essential step for fringe projection profilometry (FPP) that determines how phase could be transformed into 3D surface. In this work, an efficient calibration model using inclined Lambertian plane for FPP is proposed, which effectively simplify the calibration process compared with the conventional methods and avoid extensive nonlinear fitting in establishing the relationship between phase and height. The principle for recovering the shape of the Lambertian plane based on photometric stereo (PS) is firstly introduced according to our previous work. With phase retrieved through 4-step phase shifting algorithm, the generation of surface height with respect to phase map and the shape of the Lambertian plane are discussed in theory, which allows the directly establishment of the calibration model. With the proposed 3D measurement system, our method is evaluated by contrast experiment with the polynomial phase-to-height model. In experiments, a plaster model and a compressor blade are measured according to the calibrations utilizing the new method, demonstrates the excellent measurement accuracy and the efficiency improvement. The parallel measurement using commercial 3D scanner is also provided, where most of the measured blade profile deviations lays within ±0.2 mm.