采用变形镜影响函数对畸变波前的校正过程进行模拟，并利用超高斯滤波函数对模拟的校正效果进行拟合和统计，确定出变形镜交连值与滤波函数平滑因子的定量关系，进而建立和完善了基于滤波函数的分立变形镜波前校正预估模型。在此基础上，针对具有随机畸变波前的环状光束，对波前校正预估模型的有效性和适应性进行了验证和分析。在实际工作中，只要给定分立变形镜的驱动器间距和变形镜交连值，即可利用给出的超高斯滤波函数波前校正预估模型，从而简便而准确地预估变形镜对不同畸变波前的校正效果。

The correction about distorted wavefront of discrete deformable mirror is simulated by using the influence function, and the simulated correction result is fitted by super-Gaussian filter function. Consequently, a quantitative relationship between the crosslinking value of deformable mirror and the smooth factor of super-Gaussian filter function is determined, and a prediction model for correction effect on distorted wavefront of discrete deformable mirror based on filter function is established and improved. The validity and adaptability of the prediction model are verified and analysed for annular beams with distorted wavefront. In practical applications, the prediction model can be used to predict the correction effect of deformable mirror for laser beams with different wavefronts conveniently and accurately as long as the driver spacing and crosslinking values of the discrete deformable mirror are given.