Gamma Precorrection and Phase Error Compensation Methods Based on Three-Frequency with Three-Phase Shift

Digital fringe projection measurement technology has been widely used in computer vision and optical three-dimensional (3D) measurement. Considering the phase error caused by the gamma distortion and nonlinear error, the active gamma precorrection and phase error compensation methods based on the th...

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Main Authors: Wei Feng, Shaojing Tang, Shinan Xu, Tong Qu, Daxing Zhao
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:International Journal of Optics
Online Access:http://dx.doi.org/10.1155/2021/8315101
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author Wei Feng
Shaojing Tang
Shinan Xu
Tong Qu
Daxing Zhao
author_facet Wei Feng
Shaojing Tang
Shinan Xu
Tong Qu
Daxing Zhao
author_sort Wei Feng
collection DOAJ
description Digital fringe projection measurement technology has been widely used in computer vision and optical three-dimensional (3D) measurement. Considering the phase error caused by the gamma distortion and nonlinear error, the active gamma precorrection and phase error compensation methods based on the three-frequency with three-phase shifts are designed to reversely solve the initial phase and accurately compensate phase error. On the one hand, the gamma coefficient of the measurement system depends on precoding two groups of fringe sequences with different gamma coefficients to calculate the corresponded proportional coefficient of harmonic component. On the other hand, the phase error compensation method is designed to compensate the phase error and improve the accuracy and speed of phase calculation after gamma correction. Experiments show that the proposed precalibration gamma coefficient method can effectively reduce the sinusoidal error in nearly 80 percent which only needs fewer fringe patterns. Compared with the traditional three-frequency with four-phase shift method, the proposed method not only has higher phase accuracy and better noise resistance but also has good robustness and flexibility, which is not limited to the gamma distortion model.
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institution Kabale University
issn 1687-9384
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language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series International Journal of Optics
spelling doaj-art-c01f638806654edb82e28dbc70836f5c2025-02-03T01:25:19ZengWileyInternational Journal of Optics1687-93841687-93922021-01-01202110.1155/2021/83151018315101Gamma Precorrection and Phase Error Compensation Methods Based on Three-Frequency with Three-Phase ShiftWei Feng0Shaojing Tang1Shinan Xu2Tong Qu3Daxing Zhao4Hubei Key Laboratory of Modern Manufacturing Quality Engineering, School of Mechanical Engineering, Hubei University of Technology, Wuhan 430068, ChinaHubei Key Laboratory of Modern Manufacturing Quality Engineering, School of Mechanical Engineering, Hubei University of Technology, Wuhan 430068, ChinaHubei Key Laboratory of Modern Manufacturing Quality Engineering, School of Mechanical Engineering, Hubei University of Technology, Wuhan 430068, ChinaHubei Key Laboratory of Modern Manufacturing Quality Engineering, School of Mechanical Engineering, Hubei University of Technology, Wuhan 430068, ChinaHubei Key Laboratory of Modern Manufacturing Quality Engineering, School of Mechanical Engineering, Hubei University of Technology, Wuhan 430068, ChinaDigital fringe projection measurement technology has been widely used in computer vision and optical three-dimensional (3D) measurement. Considering the phase error caused by the gamma distortion and nonlinear error, the active gamma precorrection and phase error compensation methods based on the three-frequency with three-phase shifts are designed to reversely solve the initial phase and accurately compensate phase error. On the one hand, the gamma coefficient of the measurement system depends on precoding two groups of fringe sequences with different gamma coefficients to calculate the corresponded proportional coefficient of harmonic component. On the other hand, the phase error compensation method is designed to compensate the phase error and improve the accuracy and speed of phase calculation after gamma correction. Experiments show that the proposed precalibration gamma coefficient method can effectively reduce the sinusoidal error in nearly 80 percent which only needs fewer fringe patterns. Compared with the traditional three-frequency with four-phase shift method, the proposed method not only has higher phase accuracy and better noise resistance but also has good robustness and flexibility, which is not limited to the gamma distortion model.http://dx.doi.org/10.1155/2021/8315101
spellingShingle Wei Feng
Shaojing Tang
Shinan Xu
Tong Qu
Daxing Zhao
Gamma Precorrection and Phase Error Compensation Methods Based on Three-Frequency with Three-Phase Shift
International Journal of Optics
title Gamma Precorrection and Phase Error Compensation Methods Based on Three-Frequency with Three-Phase Shift
title_full Gamma Precorrection and Phase Error Compensation Methods Based on Three-Frequency with Three-Phase Shift
title_fullStr Gamma Precorrection and Phase Error Compensation Methods Based on Three-Frequency with Three-Phase Shift
title_full_unstemmed Gamma Precorrection and Phase Error Compensation Methods Based on Three-Frequency with Three-Phase Shift
title_short Gamma Precorrection and Phase Error Compensation Methods Based on Three-Frequency with Three-Phase Shift
title_sort gamma precorrection and phase error compensation methods based on three frequency with three phase shift
url http://dx.doi.org/10.1155/2021/8315101
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