光(电)成像系统的特性会引起图象降质，但如果能够根据系统的传递函数确定其逆滤波函数，就可以对这种降质图象进行一定的恢复．为此，提出了一种用多项式近似的图象逆滤波的图象恢复方法，该方法就是首先将连续的逆滤波函数按泰勒级数展开，并用多项式来近似表示，通过对用多项式表达的用于图象恢复的逆滤波函数作反傅里叶变换，就可得到恢复图象在空间域中的近似运算公式，该运算是图象信号及其各阶导数的线性组合，而不是复杂的反卷积操作．同时还详细分析了方法的原理，并推导了算法公式，最后给出了空移不变和移变系统图象的恢复处理结果．实验表明，该方法特别适合于空间移变系统降质图象的恢复，如场曲恢复．

The deteriorated image resulting from imaging system performances can be recovered with inverse filtering by multiplying the inverse filtering function and the Fourier transform of the acquired image providing that the optical imaging transfer function is known and its inverse function or the corresponding i inverse filtering function can be found according to the measure or the priori knowledge of the imaging transferl function. If the inverse function is continuous about the origin it may actually be represented as the Tailor series. The inverse Fourier transform operation of the polynomial series is differentiation of orders corresponding no degrees in the polynomial. Consequently, the inverse Fourier transform of the recovered image is approximately realized in spatial domain by the linear combinations of the image and its derivatives rather than by complicated deoonvolution. It is considerable for the recovery of the spatially variant deterioration, such as the deterioration resulting from curvature of field. For images of space-variant degradation, the linear combining coefficients rare functions of spatial coordinates specified by the spatial variance. Detailed analysis and derivation of equations are presented. Finally, the processing results both in spatial invariant and variant systems are given.