Saturation-induced phase error correction method in 3-D measurement based on inverted fringes

Saturation-induced phase error in three-dimensional (3-D) measurement is a challenge in fringe projection profilometry. This paper proposed a new, to the best of our knowledge, high dynamic range 3-D measurement method based on inverted fringes. For an efficient phase extraction method based on the 3fH+2fM+2fL algorithm, we just need to project a set of inverted fringes. Saturated pixels in the original fringes are replaced with unsaturated pixels in the inverted fringes. We analyzed 72 fringe replacement cases for the 3fH+2fM+2fL algorithm and gave the corresponding wrapped phase calculation. Experiments verify the validity of the proposed method. Since the proposed method does not require extensive exposure adjustments and complex projection intensity adjustment, the implementation is simple and convenient.