Intensity saturation causes partial incorrect intensities in captured images, leading to obvious phase errors in high dynamic range (HDR) phase measuring profilometry. Most of the existing methods require numerous projected patterns or additional hardware equipment to retrieve the 3D shape. This paper proposes a comprehensive saturation-induced phase error correction method by combining the average-phase compensation method applying the four-step phase-shifted(PS) patterns with phase repairment employing a total variation minimization(TVM) model. We first analyzed the periodic characteristic of saturation-induced phase error. The phase error can be efficiently compensated by averaging the initial phase and the auxiliary phase, which was calculated utilizing a set of PS patterns with an initial phase offset of /4. Furthermore, a judgment condition was provided to detect invalid points in overexposed shiny areas whose initial calculated phases were wrong. The corrected phases were repaired utilizing the TVM model from the compensated phase information around the invalid points. Simulations and experiments demonstrated that the proposed method could simultaneously correct the phase for non-uniform high-reflectivity scenes and shiny areas on the surface with high accuracy and relatively few images. The phase error is reduced to nearly 80%.
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