Wang Jianhua
Appl Opt. 2022 Jul 20;61(21):6167-6176. doi: 10.1364/AO.463751.
For noise-induced phase error and phase unwrapping reliability in fringe projection profilometry (FPP), a new evaluation method is proposed. By introducing a Gaussian noise model, the maximum variance of the noise-induced phase error and phase unwrapping reliability are directly obtained. According to the proposed evaluation method, the variance of the noise-induced phase error is proportional to the noise variance and inversely proportional to the fringe modulation. The phase unwrapping reliability is not only inversely proportional to the noise-induced phase error, but also inversely proportional to the fringe frequency ratio. This work analyzes and compares three efficient dual-frequency phase unwrapping algorithms. The results show that the wrapped phase accuracy and phase unwrapping reliability based on 4+4 are the best, followed by 3+3 and 3+2. However, 3+2 has the highest measurement efficiency.
针对条纹投影轮廓术（FPP）中噪声引起的相位误差和相位展开可靠性问题，提出了一种新的评估方法。通过引入高斯噪声模型，直接获得了噪声引起的相位误差的最大方差和相位展开可靠性。根据所提出的评估方法，噪声引起的相位误差的方差与噪声方差成正比，与条纹调制成反比。相位展开可靠性不仅与噪声引起的相位误差成反比，还与条纹频率比成反比。这项工作分析并比较了三种有效的双频相位展开算法。结果表明，基于4+4的包裹相位精度和相位展开可靠性最佳，其次是3+3和3+2。然而，3+2具有最高的测量效率。
