Abstract
In fringe projection profilometry, affected by the gamma distortion of the projector, the reconstructed topography of the measured object has a large error compared to the actual situation. In order to eliminate the gamma distortion error, this paper innovatively proposes a mathematical model to solve the wrapping phase with 3(N)+1 images based on the principle of the N-step phase-shift method. The model adds an image modulated by half of the background illumination with gamma distortion to the three-step phase-shifted image. After iteration, the wrapping phase can be solved, and the value of the background illumination and the value of the projector gamma distortion can be obtained. The method effectively avoids the influence of gamma distortion on solving the wrapped phase. It is verified by MATLAB simulation that the method can eliminate gamma distortion. Comparing the phases solved by the simulation standard conditions, the four-step phase-shift method, and the 3(N)+1 method, the results show that the method effectively eliminates the influence of gamma distortion and has high accuracy.
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