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Absolute measurement of optical flats based on basic iterative methods
Quan, Haiyang1,2; Hou, Xi1; Wu, Fan1; Song, Weihong1
Source PublicationOptics Express
Volume23Issue:12Pages:16305-16319
2015
Language英语
ISSN1094-4087
DOI10.1364/OE.23.016305
Indexed BySCI ; Ei
WOS IDWOS:000356902500111
Subtype期刊论文
AbstractGeneralized basic iterative methods for absolute measurement of optical flats are presented. They are based on iterative scheme and can be classified into block Jacobi Successive Over-relaxation (SOR) method and block SOR method. Both methods are effective for solving the three-flat problem with pixel-level spatial resolution, without the usage of a fitting procedure. Compared to the block Jacobi SOR method, the block SOR method with an inexpensive choosing of relaxation factor (such as ? = 1.5) converges much faster and saves more computational costs and memory space without reducing accuracy. It has been proved by both simulation results and experimental results. The proposed basic iterative methods are generalized; can correctly reconstruct absolute figures with pixel-level spatial resolution; are easy to understand and implement; and computationally efficient. © 2015 Optical Society of America.; Generalized basic iterative methods for absolute measurement of optical flats are presented. They are based on iterative scheme and can be classified into block Jacobi Successive Over-relaxation (SOR) method and block SOR method. Both methods are effective for solving the three-flat problem with pixel-level spatial resolution, without the usage of a fitting procedure. Compared to the block Jacobi SOR method, the block SOR method with an inexpensive choosing of relaxation factor (such as ? = 1.5) converges much faster and saves more computational costs and memory space without reducing accuracy. It has been proved by both simulation results and experimental results. The proposed basic iterative methods are generalized; can correctly reconstruct absolute figures with pixel-level spatial resolution; are easy to understand and implement; and computationally efficient. © 2015 Optical Society of America.
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Cited Times:13[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.ioe.ac.cn/handle/181551/7048
Collection先光中心
Affiliation1. Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu, China
2. University of Chinese Academy of Sciences, Beijing, China
Recommended Citation
GB/T 7714
Quan, Haiyang,Hou, Xi,Wu, Fan,et al. Absolute measurement of optical flats based on basic iterative methods[J]. Optics Express,2015,23(12):16305-16319.
APA Quan, Haiyang,Hou, Xi,Wu, Fan,&Song, Weihong.(2015).Absolute measurement of optical flats based on basic iterative methods.Optics Express,23(12),16305-16319.
MLA Quan, Haiyang,et al."Absolute measurement of optical flats based on basic iterative methods".Optics Express 23.12(2015):16305-16319.
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