Abstract

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 ${{4}}\!{f_H} + {{4}}\!{f_L}$ are the best, followed by ${{3}}\!{f_H} + {{3}}\!{f_L}$ and ${{3}}\!{f_H} + {{2}}\!{f_L}$. However, ${{3}}\!{f_H} + {{2}}\!{f_L}$ has the highest measurement efficiency.

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