Coupled and decoupled algorithms for image inpainting

来源 :Computational Biomedical Imaging Workshop(2015计算生物医学成像研讨会) | 被引量 : 0次 | 上传用户:tyb798229
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  We extend the existing variational model for image inpainting and propose new coupled and decoupled algorithms.In the derivation of coupled algorithm,we use operator splitting and quadratic penalty technique to get a new approximate problem of the basic model.By alternating minimization method,the approximate problem can be decomposed as several relatively simple subproblems with closed-form solutions.However,the coupled algorithm is not efficient when some adaptive regularization operators are used such as learned BM3D.To overcome this drawback,we propose the decoupled algorithm in which the original problem is decoupled into several independent parts: denoising and linear combinations.Therefore,we can take use of any existing denoising method in the denoising step.We consider three choices for regularization operator in our experiments which are gradient operator,tight framelet transform and learned BM3D frame.The numerical experiments and comparisons on various image inpainting tasks demonstrate that the proposed method is promising.
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