一种改进的消零频三维面形测量方法

An Improved Three-Dimensional Measurement for Zero Frequency Elimination

摘要: 为了提高傅里叶变换轮廓术的测量精度，降低频谱混叠对傅里叶变换轮廓测定术的影响，提出了一种便捷的抑制零频分量的方法。通过采集一幅正弦条纹图，在投影仪前方添加一固定厚度的平行平板，利用折射得到新的条纹图，将采集的两幅变形条纹图进行处理得到消零频的条纹差图。对条纹差图进行适当的快速傅里叶变换以后，对频谱进行滤波并提取基频成分。相比于安装精密相移装置，测量系统更加简单，高速。理论和实验证明了本方法的可行性。

Abstract: In order to improve the accuracy of Fourier transform profilometry and reduce the influence of frequency aliasing. A convenient method to suppress the zero frequency components is proposed. By collecting a sinusoidal fringe pattern and adding a fixed thickness parallel plate to the front of the projector, a new fringe pattern is obtained by refraction. The two deformed fringe patterns are processed to get the stripe pattern of zero frequency elimination. After the proper fast Fourier transform of the fringe pattern, the spectrum is filtered and the fundamental frequency components are extracted. The measurement system is simple and high-speed compared to the installation of precision phase shifting devices. The feasibility of this method is proved by theory and experiment.

文章引用：曹愈, 郭沈言, 李炫熹, 陈贵宾, 边心田. 一种改进的消零频三维面形测量方法[J]. 应用物理, 2017, 7(7): 195-201. https://doi.org/10.12677/APP.2017.77026

参考文献

[1]	Ma, S., Zhu, R., Quan, C., et al. (2012) Blind Phase Error Suppression for Color-Encoded Digital Fringe Projection Profilometry. Optics Communications, 1162-1668.
[2]	马云秀, 边心田. 相位测量轮廓术中投影条纹畸变的研究[J]. 光电技术应用, 2013, 28(4): 83-85.
[3]	Wang, B.Y., Yu, X.Y., Wu, H.B., Zhang, J.X., et al. (2017) Phase-Unwrapping Approach Based on Dual-Frequency Analog Structured Light. Optics Communications, 272-280. https://doi.org/10.1016/j.optcom.2016.07.022
[4]	李思坤, 陈文静, 苏显渝, 等. 傅里叶变换轮廓术中基于经验模态分解抑制零频的方法[J]. 光学学报, 2009, 29(3): 664-669.
[5]	Xiao, Y.-L., Xue J.P. and Su, X.Y. (2013) Robust Self-Calibration Three-Dimensional Shape Measurement in Fringe-Projection Photogrammetry. Optics Letters, 38, 694-696. https://doi.org/10.1364/OL.38.000694
[6]	周灿林, 杨允鑫, 司书春, 等. 一种改进的消零频傅里叶变换轮廓术[J]. 光电子•激光, 2014, 25(6): 1140-1145.
[7]	陈文静, 苏显渝, 曹益平, 等. 傅里叶变换轮廓术中抑制零频的新方法[J]. 中国激光, 2014, 25(6): 1140-1145.
[8]	刘大海, 林斌. 利用强度调制消除零频的傅里叶变换轮廓术测量[J]. 光子学报, 2011, 40(11): 1697-1701.
[9]	陈文静, 苏显渝, 曹益平, 等. 基于双色条纹投影的快速傅里叶变换轮廓术[J]. 光学学报, 2003, 23(10): 1153-1157.