基于快速迭代滤波的单帧彩色条纹投影轮廓术

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中图分类号：TN24 文献标志码：A doi：10.37188/CO.2024-0213 CSTR：32171.14.CO.2024-0213

Single-frame color stripe contour technique based on fast iterative filtering

WEI Peng-fei，DU Hu-bing*， ZHU Qian*，LIU Chang，LI Yan-jie （Collge ofMechanical and Electrical Engineering，Xi'an Technological University，Xi'an710o21，China） * Corresponding author， E-mail： duhubing@xatu.edu.cn; zhuqian@xatu.edu.cn

Abstract： In order to achieve real-time 3D measurement of dynamic objects and to overcome the measurement accuracy limitations caused by spectral aliasing of diferent carrier frequencies in traditional Fourier demodulation methods， as well as the color coupling problem in color composite stripe projection techniques， this paper proposes a three-frequency color stripe projection profilometry method based on fast iterative filtering.The method first captures a color image using a CCD camera， where the red， green，and blue channels carry gray stripe images with diferent carrier frequencies.Background interference is then reduced by component subtraction，followed by carrier frequency separation and color decoupling using fast iterative filtering.Subsequently，the Fourier transform is applied to the carier-frequency stripe images in the red，green， and blue channels and the wrapped phase information is extracted. To achieve acurate phase unwrapping， a spatial domain unwrapping algorithm is employed. The low-frequency phase is first unwrapped， followed by the middle and high-frequency phases，which are unwrapped sequentially to complete the entire phase unwrapping process.The simulation and experimental results demonstrate that the proposed method exhibits a phase unwrapping accuracy that is 7 times higher than that of traditional Fourier methods. In comparison with other single-frame demodulation methods，the proposed method demonstrates superior accuracy and robust noise resistance，thus providing an effective technical solution for high-precision，dynamic real-time 3D measurement.

Key words： color composite stripe projection; color coupling; fast iterative filtering; Fourier transform

1引言

条纹投影轮廓术（FPP）凭借其测量速度快、非接触，且可全场测量等优点，在工业设计、逆向工程及生物医学等领域得到广泛应用[1-4]。（剩余21222字）