Based on subset interpolation Lagrange polynomials surface reconstruction in non-uniform meshes

Chao Chen; Tao Ma; Fan Wang

doi:10.1117/12.2541736

18 December 2019 Based on subset interpolation Lagrange polynomials surface reconstruction in non-uniform meshes

Chao Chen, Tao Ma, Fan Wang

Proceedings Volume 11338, AOPC 2019: Optical Sensing and Imaging Technology; 113380M (2019) https://doi.org/10.1117/12.2541736
Event: Applied Optics and Photonics China (AOPC2019), 2019, Beijing, China

Abstract

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.

Citation Download Citation

Chao Chen, Tao Ma, and Fan Wang "Based on subset interpolation Lagrange polynomials surface reconstruction in non-uniform meshes", Proc. SPIE 11338, AOPC 2019: Optical Sensing and Imaging Technology, 113380M (18 December 2019); https://doi.org/10.1117/12.2541736

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