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。

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.