Open AccessDescription method with automatically configurable Gaussian radial basis function for complex freeform surface
Author(s) -
Qun Hao,
Chunguang Xu,
Yao Hu,
Xin Tao,
Jiahang Lv,
Xuemin Cheng
Publication year - 2021
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.426130
Subject(s) - computer science , basis (linear algebra) , interferometry , gaussian , surface (topology) , basis function , algorithm , radial basis function , tree traversal , function (biology) , flexibility (engineering) , optics , artificial intelligence , mathematics , physics , geometry , artificial neural network , mathematical analysis , statistics , quantum mechanics , evolutionary biology , biology
The description of deformable mirror (DM) surface, which is usually a complex freeform surface, affects the measurement speed and accuracy in a real-time interferometric measurement system with a DM as the dynamic compensator. We propose an accurate and fast description method with automatically configurable Gaussian radial basis function. The distribution and shape factors of GRBFs are related to the complexity of the surface with sufficient flexibility to improve the accuracy, and the fitting results are automatically obtained using a traversal optimization algorithm, which can improve the fitting speed by reducing the number of time-consuming calculations. The feasibility is verified by numerical and practical experiment.