For total variant image deblurring problem

it was proposed a total variant image deblurring algorithm based on split bregman method

which applied split bregman method to optimizing and solving the problem model.Firstly

taken advantage of auxiliary variable and quadratic penalty function

total variant image deblurring optimization problem was converted into a unconstraint optimization problem.Secondly

based on Bregman iterative

the problem was divided into two sub-problems and use the alternative minimization method to solving.Thirdly

according to the characteristic of subproblem structure

the Discrete Fourier Transform and Shrinkage technologies were used to implement the fast computation of sub-problems.The experimental results indicate that with different size blurry kernels

our algorithm can recover image effectively and steadily.Furthermore

compraring with FTVd and IRN deblurring methods

our algorithm can obtain better recovery results

and compute faster.