Adaptive method of free-form surfaces measurement based on particle swarm optimization algorithm

Can Shi; Shixiang Wang

doi:10.1117/12.2656690

9 January 2023 Adaptive method of free-form surfaces measurement based on particle swarm optimization algorithm

Can Shi, Shixiang Wang

Proceedings Volume 12507, Advanced Optical Manufacturing Technologies and Applications 2022; and 2nd International Forum of Young Scientists on Advanced Optical Manufacturing (AOMTA and YSAOM 2022); 125072R (2023) https://doi.org/10.1117/12.2656690
Event: 2nd International Forum of Young Scientists on Advanced Optical Manufacturing (AOMTA and YSAOM 2022), 2022, Changchun, China

Abstract

Optical freeform surface with high geometric complexity requires appropriate sampling strategy to achieve holistic measurement with improved efficiency and accuracy. This paper presents an adaptively sampling plans to measure the points based on particle swarm optimization algorithm for the problem of freeform surface measurement. In order to provide mathematical foundation for parametric modeling of freeform surfaces, the mathematical model of the freeform surface was then analyzed. The particle swarm optimization algorithm was studied, and the error optimization function between the interpolation surface of sampling points and the original freeform surface was constructed, and the coordinates of the sampling points were converted into particle positions for optimization, so as to distribute the sampling points adaptively. Simulation studies was conducted by using serval complex freeform surfaces. The results shows that the adaptively measured points can achieve the optical surfaces with improved accuracy and with less sampling points compared the traditional method.

Citation Download Citation

Can Shi and Shixiang Wang "Adaptive method of free-form surfaces measurement based on particle swarm optimization algorithm", Proc. SPIE 12507, Advanced Optical Manufacturing Technologies and Applications 2022; and 2nd International Forum of Young Scientists on Advanced Optical Manufacturing (AOMTA and YSAOM 2022), 125072R (9 January 2023); https://doi.org/10.1117/12.2656690

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