Abstract: It is an ill-posed that a high resolution image is reconstructed from a degenerate low resolution image,and regularization is added to deal with the problem usually.In this paper,we introduced fractional order total variation(FOTV) as another regularization to constrain the solution space on the basis of traditional total variation(TV) operator.Detailed texture information of the image was better reconstructed by using FOTV regularization,and staircase effect was eliminated.Moreover,we divid the problem into sub-problems by alternating direction multiplier method(ADMM),and total variation and fractional total variation operators were constructed as cyclic matrices.Then,these were diagonalized by Fourier transformation.Therefore,computational complexity is reduced.Experimental results show that compared to existing methods,the proposed model does not suffer from staircase.Furthermore,the proposed model can keep the details of the information and has better value of peak signal to noise ratio(PSNR) and similarity index measure(SSIM).

Key words: Super-resolution image reconstruction,Total variation,Fractional order total variation,Alternating direction multipliers method,Staircase effect,Texture