针对湍流扰动波前改正的天文自适应补偿成像系统由于等晕区存在而限制了观测视场内有效的补偿区域。这对通过自适应光学系统获取的天文实测数据的充分利用造成很大不便。通过对自适应光学系统空域统计特性的分析，得到空变点扩展函数的成像系统描述。在此基础上，依据大气光学统计理论，通过多相位屏分层大气湍流模型，提出一种利用数值模拟估计空变点扩展函数的方法。结合实际观测条件和自适应光学系统特性，给出运用该方法建立天文自适应成像系统空变点扩展函数估计模型的实例。并将所得模型用于对天文实测图像的重建，结果表明其对系统补偿残差和非等晕效应对成像结果造成的影响有明显改善，验证了该模型的有效性。

The point spread function (PSF) of an adaptive optics (AO) system evolves in larger region than isoplanatic patch in the field of view (FOV). This variation strongly limits the efficient utilization of AO images. A theoretical expression of this space-varying PSF is derived by analysis of characteristics of AO imaging system. Then by combining the space-field statistical characteristics of AO compensation and atmospheric turbulence theory a predicted space-varying parameter PSF model for AO systems is developed and the effectiveness of the model is also tested by employing the predicted space-varying PSF model in reconstruction of AO astronomical image with deconvolution method, which can reduce effects of residual wave-front distortion and anisoplanatism on AO system′s partial compensated astronomical images.