中文摘要：

在Neumann边界条件假设下,具有对称及平移不变性的点扩散函数的图像复原问题可以转化为不适定的解卷问题,进而可以采用TSVD方法解卷.而任意方向直线运动模糊图像的点扩散函数不具有对称性,文中将不具有对称性的点扩散函数采用二次模糊的方法转化为对称的点扩散函数,从而利用TSVD方法,复原模糊图像.实验证明了算法的有效性.

英文摘要：

The image restoration problem with symmetry and translational invariance of the point spread function can be transformed into ill-posed deconvolution problem under the assumption of the Neumann boundary condition,and thus can be solved by TSVD method.But in any direction linear motion blurred images of the point spread function of does not have symmetry,in this paper,we make the symmetric of the point spread function using the second fuzzy approach into a symmetrical point spread function,thus we can restore the blurred image using TSVD method.Numerical experiments are given to illustrate the efficiency of our algorithm.