# BM3D Frames and Variational Image Deblurring

@article{Danielyan2012BM3DFA, title={BM3D Frames and Variational Image Deblurring}, author={Aram Danielyan and Vladimir Katkovnik and Karen O. Egiazarian}, journal={IEEE Transactions on Image Processing}, year={2012}, volume={21}, pages={1715-1728} }

A family of the block matching 3-D (BM3D) algorithms for various imaging problems has been recently proposed within the framework of nonlocal patchwise image modeling , . In this paper, we construct analysis and synthesis frames, formalizing BM3D image modeling, and use these frames to develop novel iterative deblurring algorithms. We consider two different formulations of the deblurring problem, i.e., one given by the minimization of the single-objective function and another based on the…

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