提出一种将傅里叶与相移法结合的三维物体快速测量方法.通过时域提取精确的均值包络与频域滤波结合的方法预处理条纹, 结合基于相位半角的两步相移, 只需要两幅相移条纹图, 即可得到精确的相位信息.通过仿真和实验将本文方法与现有方法进行了分析对比, 实验结果证明, 本文方法可以获得优于现有两步相移方法的准确度, 一般测量环境下的均方根误差在3×10－3 rad以内.本文提出的方法对噪声和表面突变不敏感, 具有鲁棒性好、运算速度快、准确度高等优点, 在三维快速测量领域有较高的应用价值.

A fast three-dimensional object measurement method was proposed by combining the Fourier profilometry with the phase shifting profilometry. By accurately extracting the mean envelope of the fringe in time domain and simply filtering in frequency domain, the fringe can be pre-processed. Combined with the two-step phase-shift algorithm base on 90° phase shift, an accurate phase value can be obtained from two fringe patterns. The results of simulation and experiment of comparing the proposed method with the existing methods show that this method can achieve a higher accuracy, which the RMS (Root Mean Square) is less than 3×10－3 rad. The proposed method has the following advantages of good robustness for its insensitive to noise and surface mutation, fast operation and high accuracy. Therefore, it will have a high application value in the field of fast measurement.