nToeplitz数字图像反降晰方法

Toeplitz Digital Image Debluring Method

通过分析图像降晰机制和反卷积图像恢复的原理,利用Toeplitz方法将卷积和反卷积过程转换为矩阵的运算和求逆的问题.首先,由一维反卷积过程中得到Toeplitz方法的机制,并将其拓宽至二维问题.然后,利用Toeplitz方法实现的图像降晰和反降晰的工作.理论分析和仿真结果表明了Toeplitz方法的正确性和恢复精度高.

Through analysis to image bluring mechanism and the theorem of image debluring, convolution and deconvolution processes were converted into matrix operation and inverse resolution by means of Teoplitz method. The mechanism of Teoplitz was derived from one dimensional anti convolution process at first. And then Teoplitz method was extended into two dimensional operation. Then image bluring and debluring were realized by Teoplitz approach. Theoretic analysis and simulation show the correctness and accuracy of Teoplitz mehod.