Design method of wide field-of-view imaging systems using Gaussian radial basis functions freeform surfaces

Ni Junhao; Yang Tong; Cheng Dewen; Wang Yongtian

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Design method of wide field-of-view imaging systems using Gaussian radial basis functions freeform surfaces

机译：使用高斯径向基函数自由形状表面的视野型成像系统的设计方法

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High optical performance systems with wide field-of-view (FOV) have important applications in remote sensing. The radial basis functions, which have a prominent local characteristic in surface description, have attracted much attention in recent years. In this paper, an effective design method for the wide FOV imaging system using Gaussian radial basis function freeform surfaces is proposed. The FOV of the optical system is extended from a relatively small value to a larger one, and theGaussian radial basis function surfaces are extended stepwise based on certain criteria. A high image quality and small distortion off-axis freeform three-mirror system with a wide FOV (60 degrees x 0.6 degrees) is designed as an example. Tolerance analysis considering both surface figure error and assembly error is performed. The design results demonstrate the effectiveness of the proposed method. (C) 2021 Optical Society of America

机译：高性能宽视场光学系统在遥感领域有着重要的应用。径向基函数在曲面描述中具有突出的局部特征，近年来受到了广泛关注。本文提出了一种基于高斯径向基函数自由曲面的宽视场成像系统的有效设计方法。将光学系统的视场从一个相对较小的值扩展到一个较大的值，并根据一定的准则逐步扩展高斯径向基函数曲面。设计了一种高画质、低失真的宽视场（60度×0.6度）离轴自由三镜系统。进行了同时考虑表面形状误差和装配误差的公差分析。设计结果证明了该方法的有效性。（2021）美国光学学会

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《Applied optics》 |2021年第15期|共11页
作者
Ni Junhao; Yang Tong; Cheng Dewen; Wang Yongtian;
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Beijing Inst Technol Sch Opt &

Photon Beijing Engn Res Ctr Mixed Real &

Adv Display Beijing 100081 Peoples R China;

Beijing Inst Technol Sch Opt &

Photon Beijing Engn Res Ctr Mixed Real &

Adv Display Beijing 100081 Peoples R China;

Beijing Inst Technol Sch Opt &

Photon Beijing Engn Res Ctr Mixed Real &

Adv Display Beijing 100081 Peoples R China;

Beijing Inst Technol Sch Opt &

Photon Beijing Engn Res Ctr Mixed Real &

Adv Display Beijing 100081 Peoples R China;

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1. AN IMPROVED RADIAL BASIS FUNCTION BASED METHOD FOR IMAGE WARPING [J] . Nie Xuan, Zhao Rongchun, Zhang Cheng, 电子科学学刊（英文版） . 2005,第004期
2. Gaussian Radial Basis Function interpolation in vertical deformation analysis [J] . Mohammad Amin Khalili, Behzad Voosoghi 大地测量与地球动力学（英文版） . 2021,第003期
3. Spherical Scattered Data Quasi-interpolation by Gaussian Radial Basis Function [J] . Zhixiang CHEN, Feilong CAO 数学年刊B辑（英文版） . 2015,第003期
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5. Construction method through forward and reverse ray tracing for a design of ultra-wide linear field-of-view off-axis freeform imaging systems [J] . Hou Wei, Zhu Jun, Yang Tong, Journal of optics . 2015,第5期

机译：施工方法通过向前和反向射线跟踪进行超宽线性视野的偏离轴自由形式成像系统的设计
6. Construction method through forward and reverse ray tracing for a design of ultra-wide linear field-of-view off-axis freeform imaging systems [J] . Hou Wei, Zhu Jun, Yang Tong, Journal of optics . 2015,第5期

机译：施工方法通过向前和反向射线跟踪进行超宽线性视野的偏离轴自由形式成像系统的设计
7. Design of an off-axis helmet-mounted display with freeform surface described by radial basis functions [J] . Hua Li, Xin Zhang, Chao Wang, Optics Communications: A Journal Devoted to the Rapid Publication of Short Contributions in the Field of Optics and Interaction of Light with Matter . 2013,第Null期

机译：径向基函数描述的具有自由曲面的离轴式头盔显示器的设计
8. Design of freeform nonsymmetric three-mirror systems using Gaussian radial basis functions freeform surfaces [C] . Junhao Ni, Tong Yang, Dewen Cheng, International Conference on Optical Instruments and Technology: Optical Systems and Modern Optoelectronic Instruments . 2020

机译：使用高斯径向基函数自由形状曲面设计自由形式非对称三镜系统
9. Image Segmentation: Structural Similarity, Belief Propagation and Radial Basis Functions for Level Set Based Methods. [D] . Zhu, Yingxuan. 2010

机译：图像分割：基于水平集的方法的结构相似性，信念传播和径向基函数。
10. A Radial Basis Function (RBF)-Finite Difference (FD) Method for Diffusion and Reaction-Diffusion Equations on Surfaces [O] . Varun Shankar, Grady B. Wright, Robert M. Kirby, -1

机译：径向基函数（RBF）-有限差分（FD）方法求解表面扩散和反应扩散方程
11. The Gaussian Radial Basis Function Method for Plasma Kinetic Theory [O] . Hirvijoki, Eero, Candy, Jeff, Belli, Emily, 2015

机译：等离子体动力学理论的高斯径向基函数法
12. Comparison of Response Surface Construction Methods for Derivative Estimation Using Moving Least Squares, Kriging and Radial Basis Functions [R] . Krishnamurthy, Thiagarajan 2005

机译：基于移动最小二乘，克里格法和径向基函数的导数估计响应面构造方法比较

Design method of wide field-of-view imaging systems using Gaussian radial basis functions freeform surfaces

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