在基于相移条纹投影的动态三维测量中，不同条纹图像中物点、像点和相位之间的理想对应关系被破坏，此时应用传统的相位公式会产生很大的测量误差。为了减小动态三维测量误差，首先分析了该误差的基本原理，并将该误差等效为不同条纹图像之间的相移误差；然后，提出了一种动态三维测量误差补偿方法，该方法将基于最小二乘的先进迭代算法和改进的傅立叶辅助相移法相结合，实现了随机步长相移量和相位的高精度计算。对精加工铝板的实测结果表明，动态三维测量误差补偿技术可使动态三维测量的均方误差降低一个以上数量级，补偿后的动态三维测量精度可达0.15 mm 以上。

In the process of dynamic 3D measurement based on phase-shifting and fringe projection, the ideal correspondence between object points, image points and phases in different fringe images is destroyed. On this condition, the application of traditional phase formulas will cause significant measurement errors. In order to reduce the dynamic 3D measurement error, the basic principle of the error is firstly analyzed, and the errors are equivalent to the phase-shifting errors between different fringe images. Then, a dynamic 3D measurement error compensation method is proposed, and this method combines the advanced iterative algorithm based on least squares and the improved Fourier assisted phase-shifting method to realize the high-precision calculation of random step-size phase-shifting and phase. The actual measurement results of a precision ground aluminum plate show that the dynamic 3D measurement error compensation technology can reduce the mean square errors of dynamic 3D measurement by more than one order of magnitude, and the dynamic 3D measurement accuracy after compensation can be better than 0.15mm.