基于波前相位单纯形样条函数建模的空间目标波前解卷积方法

针对空间目标地基自适应光学望远镜成像过程中同时记录目标图像及波前传感器数据的情形, 提出了一种利用波前测量数据的空间目标自适应光学图像复原方法。该方法将大气降质波前表示为望远镜孔径内的二元单纯形样条函数, 而非传统的Zernike模式的线性组合, 基于该区域表示, 为哈特曼-夏克波前传感器建立了平均斜率测量模型, 进而非适定的波前重构问题转化为良态等式约束最小二乘问题, 最终的目标图像即可通过非盲解卷积方法获得。仿真实验验证了提出的方法在不同的湍流强度下均能表现出良好的复原效果, 对测量噪声亦不敏感。

Abstract

An image restoration method for ground-based adaptive optics telescope imaging was proposed in the case of simultaneous recording of short exposure images and wavefront sensor measurements. The proposed method was based on a zonal representation of the turbulence-degraded wavefront phase using bivariate simplex splines function, instead of the traditional Zernike modal decomposition; an average slopes measurement model for Shack-Hartmann wavefront sensor was then built based on the zonal representation method, which transformed the ill-posed wavefront reconstruction problem into a well-conditioned equality constrained least squares problem. The object image was finally obtained by non-blind Richardson -Lucy iterative deconvolution. Simulated experiments show that the proposed method performs superior image restoration results and noise suppression capability in different turbulence strength.

参考文献

[1] Mugnier L M, Robert C, Conan J M, et al. Myopic deconvolution from wave-front sensing[J]. J Opt Soc Am A, 2001, 18: 862-872.

[2] 张玉叶, 周胜明, 赵育良, 等. 高速运动目标的运动模糊图像复原研究[J]. 红外与激光工程, 2017, 46(4): 0428001.

Zhang Yuye, Zhou Shengming, Zhao Yuliang, et al. Motion-blurred image deblurring of fast moving target[J]. Infrared and Laser Engineering, 2017, 46(4): 0428001. (in Chinses)

[3] Primot J. Theoretical description of Shack-Hartmann wave-front sensor[J]. Optics Communications, 2003, 222: 81-92.

[4] 王晓鹏, 刘克, 李艳秋. 基于子孔径波前振幅调制的斜率和曲率信号提取算法[J]. 红外与激光工程, 2017, 46(12): 1217003.

Wang Xiaopeng, Liu Ke, Li Yanqiu. Slope and curvature signal extraction algorithm based on subaperture wavefront amplitude modulationt[J]. Infrared and Laser Engineering, 2017, 46(12): 1217003. (in Chinses)

[5] C C de Visser, Verhaegen M. Wavefront reconstruction in adaptive optics systems using nonlinear multivariate splines[J]. J Opt Soc Am A, 2013, 30: 82-95.

[6] Lai M -J, Schumaker L L. Spline Functions on Triangulations[M]. Cambridge: Cambridge University Press, 2007.

[7] Jefferies S M, Hart M. Deconvolution from wave front sensing using the frozen flow hypothesis[J]. Opt Express, 2011, 19: 1975-1984.

[8] Lawson C L, Hanson R J. Solving Least Squares Problems[M]. US: SIAM, 1995.

[9] Lucy L B. An iterative technique for the rectification of observed distributions[J]. The Astronomical Journal, 1974, 79: 745.

[10] Richards W H. Bayesian-based iterative method of image restoration[J]. J Opt Soc Am, 1972, 62: 55-59.

[11] Noll R J. Zernike polynomials and atmospheric-turbulence[J]. J Opt Soc Am, 1976, 66: 207-211.

[12] 鲍华, 饶长辉, 田雨, 等. 自适应光学图像事后重建技术研究进展[J]. 光电工程, 2018, 45(3): 170730.

Bao Hua, Rao Changhui, Tian Yu, et al. Research progress on adaptive optical image post reconstruction[J]. Opto-Electronic Engineering, 2018, 45(3): 170730. (in Chinese)

[13] Rao C, Jiang W, Zhang Y, et al. Performance on the 61-element upgraded adaptive optical system for 1.2-m telescope of the Yunnan Observatory[C]//Adaptive Optics and Applications III. International Society for Optics and Photonics, 2004, 5639: 11-21.

郭世平, 杨宁, 张子腾, 胡苏海, 张荣之. 基于波前相位单纯形样条函数建模的空间目标波前解卷积方法[J]. 红外与激光工程, 2019, 48(1): 0117004. Guo Shiping, Yang Ning, Zhang Ziteng, Hu Suhai, Zhang Rongzhi. Space object deconvolution from wavefront sensing by wavefront phase modelling based on simplex splines function[J]. Infrared and Laser Engineering, 2019, 48(1): 0117004.

基于波前相位单纯形样条函数建模的空间目标波前解卷积方法

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