A new algorithm for image inpainting in Fourier transform domain

One of the aims of image inpainting is recovering an image some of which Fourier transform coefficients are lost. In this paper, we present a new algorithm for image inpainting in Fourier transform domain. We consider the effect of spectrum and phase angle of the Fourier transform, separately. Hence, two regularization parameters are generated; therefore, we have two degree of freedom. Some numerical examples confirm our proposed method.