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Proceedings Paper

Based on subset interpolation Lagrange polynomials surface reconstruction in non-uniform meshes
Author(s): Chao Chen; Tao Ma; Fan Wang
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Paper 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.

Paper Details

Date Published: 18 December 2019
PDF: 5 pages
Proc. SPIE 11338, AOPC 2019: Optical Sensing and Imaging Technology, 113380M (18 December 2019); doi: 10.1117/12.2541736
Show Author Affiliations
Chao Chen, Soochow Univ. (China)
Tao Ma, Soochow Univ. (China)
Fan Wang, Soochow Univ. (China)

Published in SPIE Proceedings Vol. 11338:
AOPC 2019: Optical Sensing and Imaging Technology
John E. Greivenkamp; Jun Tanida; Yadong Jiang; HaiMei Gong; Jin Lu; Dong Liu, Editor(s)

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