In the process of surface reconstruction, the gradient data inevitably contains noise, which results in poor surface quality. Traditional denoising algorithms have slow processing speed and unsatisfied effects. To realize high precision surface reconstruction, a novel denoising method was presented based on improved curvature filter. The innovative method optimizes the projection operator to enhance the denoising capability of the algorithm. According to the numerical simulation and analysis, the simulation results show that the proposed algorithm can remove noise in the gradient data and contributes to higher accuracy of surface reconstruction.
As one of the key steps of phase measuring deflectometry (PMD), surface reconstruction is of great significance to realize high precision surface reconstruction. Considering the actual situation, the sampling points on the surface to be measured are not uniformly distributed. Given this non-uniform meshes distribution, a novel method was presented based on subset interpolation. The innovative method of surface reconstruction is realized by the improved Lagrange polynomials. According to the numerical simulation and analysis, the simulation results show that the proposed reconstruction method is appropriate for the reconstruction of various surfaces in non-uniform meshes. Under the conditions of the simulation, the accuracy of surface reconstruction of the traditional method is in the order of 1×10-2 mm, while the accuracy of surface reconstruction of the improved method is as high as 1×10-7 mm.
Phase measuring deflectometry (PMD) is used to measure the shape of the highly reflective hyperparaboloid mirror. The potical model of PMD was constructed by the aid of Zemax software, and the shape was reconstructed according to both the distorted fringes and the optical parameters, such as the distance between the text mirror and the LCD screen or the CCD camera, the off-axis distance of specular surfaces and the relative position between the screen and the camera. The slope of the text surface was obtained with the four-step phase-shifting method, phase unwrapping and camera calibration, and the shape of the hyperparaboloid mirror was restored by integrating the slope data, which provided a technical reference for the next actual measurement model.
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