Simultaneous cartoon-plus-texture image deconvolution by using variational image decomposition

摘要

Real images usually have two layers, namely, cartoons(the piece-wise smooth part of image) and textures(the oscillating pattern part of the image). In this paper, we solve the challenging image deconvolution problems by using variation image decomposition method which can regularize the cartoon with total variation and texture in G space respectively. Different from existing schemes in the literature which can only recover the smooth structure of the image, our deconvolution method can not only restore the smooth part of image but also recover the detailed oscillating part of the image. Numerical simulation examples are given to demonstrate the applicability and usefulness of our proposed algorithms in image deconvolution.