Research On Image Restoration Algorithm Based On Total Variation Model

Image restoration technology has been widely used in many fields of science and technology,such as astronomical observation,remote sensing technology,cultural relics protection,space exploration,medical imaging,case detection,etc.Although a large number of algorithms have been used to solve the problem of image restoration,these algorithms can not accurately describe the image information under the interference of noise.In order to improve sharpness and fidelity of the noisy image,a new model is proposed in this paper.The model is based on the image cartoon texture decomposition model and the total variation denoising model,at the same time,using augmented Lagrange method to solve the total variation denoising model.By combining the image cartoon texture decomposition model and the total variation denoising model,can protect the image information better,and achieve the purpose of removing the image noise.In this paper,we study the image degradation model,the image cartoon texture decomposition model,and the full variational denoising model.The image cartoon texture decomposition is decomposing image into cartoon and texture parts.The cartoon part contains the general information of the image,and the texture part contains the texture information and the noise component of the image.According to the distribution characteristics of the noise components,in the process of image denoising,only denoising the texture part,and then weight the texture part and the cartoon part.Because the cartoon part is not containing the noise,use this method can effectively avoid the damage to the cartoon part in the process of denoising,and the ALM algorithm can effectively improve the image restoration speed while removing the noise.Total variation denoising is a typical non smooth convex optimization problem,and there are many methods to solve this problem.In this paper,we select the traditional iterative algorithm and fast iterative threshold(FISTA)algorithm contrast with ALM algorithm,by computing the PSNR,MSE and operation time,proved that ALM algorithm is fast and efficient in solving the variational problem.In this paper,MATLAB is used to do the simulation experiment,and two standard test images are used to verify the simulation.The simulation results show that this method can be used to keep the edge information of the image in a fast,accurate and stable way.Finally,the application value of this method is demonstrated by the simulation of X-ray image.