A Cascadic Alternating Krylov Subspace Image Restoration Method

This paper describes a cascadic image restoration method which at each level applies a two-way alternating denoising and deblur- ring procedure. Denoising is carried out with a wavelet transform, which also provides an estimate of the noise-level. The latter is used to deter- mine a suitable regularization parameter for the Krylov subspace iter- ative deblurring method. The cascadic multilevel method proceed from coarse to fine image resolution, using suitable restriction and prolonga- tion operators. The choice of the latter is critical for the performance of the multilevel method. We introduce a special deblurring prolongation procedure based on TV regularization. Computed examples demonstrate the effectiveness of the method proposed for determining image restora- tions of high quality