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Zernike like functions on spherical cap: principle and applications in optical surface fitting and graphics rendering
期刊论文
Optics Express, 2019, 卷号: 27, 期号: 26, 页码: 37180-37196
作者:
Zheng Y(郑奕)
;
Wei K(魏凯)
;
Liang B(梁斌)
;
Li Y(李颖)
;
Chu XH(褚鑫辉)
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  |  
浏览/下载:2/0
  |  
提交时间:2020/02/04
A GENERALIZED SAMPLING AND PRECONDITIONING SCHEME FOR SPARSE APPROXIMATION OF POLYNOMIAL CHAOS EXPANSIONS
期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2017, 卷号: 39, 期号: 3, 页码: A1114-A1144
作者:
Jakeman, John D.
;
Narayan, Akil
;
Zhou, Tao
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  |  
浏览/下载:17/0
  |  
提交时间:2018/07/30
uncertainty quantification
polynomial chaos
compressed sensing
Research on key technical issues of contact method for large diameter off-axis aspheric segments
会议论文
SPIE Vol.9912, Edinburgh, United Kingdom, 2016-6-26
作者:
ZiBo Jiang
;
XinNan Li
;
YongJun Liang
;
Bo Li
;
BinBin Yu
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  |  
浏览/下载:31/0
  |  
提交时间:2017/01/24
Stressed Mirror Annular Polishing
Off-axis aspherical mirror
Contact detection
Error analysis
Polynomials orthogonality
Wavefront reconstruction for lateral shearing interferometry based on difference polynomial fitting
期刊论文
j. opt., 2015, 卷号: 17, 期号: 6, 页码: 65401
作者:
Li, Jie
;
Tang, Feng
;
Wang, Xiangzhao
;
Dai, Fengzhao
;
Feng, Peng
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  |  
浏览/下载:16/0
  |  
提交时间:2016/11/28
RIEMANN-HILBERT CHARACTERIZATION FOR MAIN BESSEL POLYNOMIALS WITH VARYING LARGE NEGATIVE PARAMETERS
期刊论文
ACTA MATHEMATICA SCIENTIA, 2014, 卷号: 34, 期号: 2
作者:
Duan, Ping
;
Du, Jinyuan
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  |  
浏览/下载:8/0
  |  
提交时间:2019/12/05
Generalized Bessel polynomials
Bessel polynomials with varying large negative parameters
orthogonality
Riemann-Hilbert boundary value problem
Riemann-Hilbert characterization
Analysis to the measurement error on the index homogeneity of optical material
会议论文
Proceedings of SPIE: 6th International Symposium on Advanced Optical Manufacturing and Testing Technologies: Optical Test and Measurement Technology and Equipment, 2012
作者:
Liao, Zhiyuan
;
Xing, Tingwen
;
Liu, Zhixiang
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  |  
浏览/下载:5/0
  |  
提交时间:2016/11/24
Methods for integrated simulation of high-precision space optomechanical systems (EI CONFERENCE)
会议论文
3rd International Symposium on Advanced Optical Manufacturing and Testing Technologies, AOMATT 2007: Advanced Optical Manufacturing Technologies, July 8, 2007 - July 12, 2007, Chengdu, China
Dong W.
;
Guang J.
;
Hong-bo Y.
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浏览/下载:17/0
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提交时间:2013/03/25
Each disciplinary has its own modeling and analysis tools to solve its own specific field problems. In order to achieve integrated simulation of high precision space optical systems and predict optical performance respective to the mechanical and thermal loads
data must pass through different analysis tools. Simulation tools used in the thermal
structural and optical design process and the relationship among them were first depicted and the integrated simulation methods were described in detail. Zernike polynomial fitting methods and interpolating approaches were also demonstrated. Because of the orthogonality of Zernike polynomials
it was not probably used in some situations such as noncircular apertures and discrete data
and the coupling of Zernike polynomial coefficients and other methods were also introduced in the paper. The toolkit OMTIA (Optical
Mechanical and Thermal Integrated Analyzer) based on the methods was developed
which appears as an indispensable tool for engineering practice.
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