关键词: 图像恢复, 最小均方误差, 正则化, 投影

Abstract: The purpose of image restoration aims at reconstructing the original input image from the corrupted degraded image，such that it approaches the perfect image that is deblurred and has no noise.The iterative regularization methods is studied，particularly the gradient methods including Least Squares Error（LSE） method，steepest descent method and Conjugate Gradient（CG）method.Particularly a projected CG method is proposed because of the physical meaning of the practical problem.Numerical simulations are performed on atmospheric blurred remote sensing image.

Key words: image restoration, Least Squares Error（LSE）, regularizing methods, projection