Chinese Optics Letters, Volume. 20, Issue 11, 112601(2022)

High-speed three-dimensional shape measurement with inner shifting-phase fringe projection profilometry

Shichao Yang1,2, Hanlin Huang1,2, Gaoxu Wu1,2, Yanxue Wu1,2, Tian Yang1,2, and Fei Liu1,2、*
Author Affiliations
  • 1State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400044, China
  • 2College of Mechanical Engineering, Chongqing University, Chongqing 400044, China
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    Fringe projection profilometry (FPP) has been extensively studied in the field of three-dimensional (3D) measurement. Although FPP always uses high-frequency fringes to ensure high measurement accuracy, too many patterns are projected to unwrap the phase, which affects the speed of 3D reconstruction. We propose a high-speed 3D shape measurement method using only three high-frequency inner shifting-phase patterns (70 periods), which satisfies both high precision and high measuring speed requirements. Besides, our proposed method obtains the wrapped phase and the fringe order simultaneously without any other information and constraints. The proposed method has successfully reconstructed moving objects with high speed at the camera’s full frame rate (1700 frames per second).


    1. Introduction

    Three-dimensional (3D) measurement has been widely used in the fields of medicine, chemical, engineering, and mechanical design[13]. Among all 3D measurement methods, fringe projection profilometry (FPP) is one of the high-performance techniques, such as Fourier transform profilometry (FTP) and phase-shifting profilometry (PSP)[46]. FTP uses only a single pattern for 3D shape measurement to promise the high speed. However, it suffers an overlapping spectrum, which limits its performance and makes it hard to calculate complex objects with large curved surfaces[79]. Compared with FTP, PSP is popular among researchers because of its high stability and high efficiency[911]. However, the retrieved phase information is wrapped in the range (π,π) due to the arctangent function, leading to the need for more additional patterns to unwrap the phase[6,12,13]. Therefore, many phase unwrapping methods have been proposed to unwrap the phase.


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    Shichao Yang, Hanlin Huang, Gaoxu Wu, Yanxue Wu, Tian Yang, Fei Liu. High-speed three-dimensional shape measurement with inner shifting-phase fringe projection profilometry[J]. Chinese Optics Letters, 2022, 20(11): 112601

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    Paper Information

    Category: Physical Optics

    Received: Feb. 16, 2022

    Accepted: Jun. 10, 2022

    Posted: Jun. 13, 2022

    Published Online: Jul. 14, 2022

    The Author Email: Fei Liu (



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