关键词: 湍流退化图像, 图像恢复, 移位算子, 二阶加权差分

Abstract: For the requirement of fast restoration of the turbulence-degraded image with complex background in space flight craft imaging system，the theory of 2-D convolution，and construct a shift operator are studied.A fast restoration algorithm for the two neighboring frames of turbulence-degraded images based on the theory of 2-D convolution and shift operator is proposed，which incorporating the minimization of the second-order weighted differences in the process of the restoration for the turbulence-degraded images.Some second-order weighted difference items are defined，and a fast method to construct the matrix of the weighted second-order operator is derived.The values of the point spread function can be solved by converting their non-linear estimation into fast solution of linear equations based on lagged iterative technique，and it provides a quickly and effect method for the restoration for the turbulence-degraded image with complex background.The experiment results show that，the proposed algorithm is effective，stable and fast for the restoration of turbulence-degraded image in real situation.

Key words: turbulence-degraded image, image restoration, shift operator, second-order weighted difference