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 Study on the best arrangement of sensors used in the deformation measurement of active lap based on Genetic Algorithm Zhao, Hongshen1,2; Li, Xiaojin1; Zeng, Zhige1; Zhao, H. Volume 8416 Pages 84161Y 2012 Language 英语 ISSN 0277786X DOI 10.1117/12.974278 Indexed By Ei Subtype 会议论文 Abstract The deformation measurement of active lap before being used to polish the mirror is one of the key factors that restrict the mirror's quality. Usually micro displacement sensors are used to measure the deformation. The sensors are located on a square grid or a circle array, but different arrangements of sensor array bring different accuracies. Which arrangement is the best for the measuring is unknown at present. A method of calculating the best arrangement of the sensor array is put forward. Firstly, Zernike polynomial is used to represent and reconstruct the lap surface, meanwhile, the variables concerned such as the number of sensor circles and the sensor number of each circle are shown. Secondly, we choose the RMS of measurement error as the standard to judge whether an arrangement is better or worse. Thirdly, Genetic Algorithm is widely used in optimization, especially in the optimization with a lot of variables. Here using the Genetic Algorithm we can successfully achieve a better arrangement of the sensors after some generations' evolution. The result shows that using the optimized arrangement can improve the measurement accuracy. Examples shown can prove the theory is correct. © 2012 SPIE.; The deformation measurement of active lap before being used to polish the mirror is one of the key factors that restrict the mirror's quality. Usually micro displacement sensors are used to measure the deformation. The sensors are located on a square grid or a circle array, but different arrangements of sensor array bring different accuracies. Which arrangement is the best for the measuring is unknown at present. A method of calculating the best arrangement of the sensor array is put forward. Firstly, Zernike polynomial is used to represent and reconstruct the lap surface, meanwhile, the variables concerned such as the number of sensor circles and the sensor number of each circle are shown. Secondly, we choose the RMS of measurement error as the standard to judge whether an arrangement is better or worse. Thirdly, Genetic Algorithm is widely used in optimization, especially in the optimization with a lot of variables. Here using the Genetic Algorithm we can successfully achieve a better arrangement of the sensors after some generations' evolution. The result shows that using the optimized arrangement can improve the measurement accuracy. Examples shown can prove the theory is correct. © 2012 SPIE. Conference Name Proceedings of SPIE: 6th International Symposium on Advanced Optical Manufacturing and Testing Technologies: Advanced Optical Manufacturing Technologies Conference Date 2012 Citation statistics Document Type 会议论文 Identifier http://ir.ioe.ac.cn/handle/181551/7585 Collection 先光中心 Corresponding Author Zhao, H. Affiliation 1. Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu, 610209, China2. Graduate University, Chinese Academy of Sciences, Beijing, 100049, China Recommended CitationGB/T 7714 Zhao, Hongshen,Li, Xiaojin,Zeng, Zhige,et al. Study on the best arrangement of sensors used in the deformation measurement of active lap based on Genetic Algorithm[C],2012:84161Y.
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