IEEE Trans Image Process - BM3D frames and variational image deblurring.

Tópicos

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Resumo

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 generalized Nash equilibrium (GNE) balance of two objective functions. The latter results in the algorithm where deblurring and denoising operations are decoupled. The convergence of the developed algorithms is proved. Simulation experiments show that the decoupled algorithm derived from the GNE formulation demonstrates the best numerical and visual results and shows superiority with respect to the state of the art in the field, confirming a valuable potential of BM3D-frames as an advanced image modeling tool.

Resumo Limpo

famili block match d bmd algorithm various imag problem recent propos within framework nonloc patchwis imag model paper construct analysi synthesi frame formal bmd imag model use frame develop novel iter deblur algorithm consid two differ formul deblur problem ie one given minim singleobject function anoth base general nash equilibrium gne balanc two object function latter result algorithm deblur denois oper decoupl converg develop algorithm prove simul experi show decoupl algorithm deriv gne formul demonstr best numer visual result show superior respect state art field confirm valuabl potenti bmdframe advanc imag model tool

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