IEEE Trans Image Process - Preconditioning for edge-preserving image super resolution.

Tópicos

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Resumo

We propose a simple preconditioning method for accelerating the solution of edge-preserving image super-resolution (SR) problems in which a linear shift-invariant point spread function is employed. Our technique involves reordering the high-resolution (HR) pixels in a similar manner to what is done in preconditioning methods for quadratic SR formulations. However, due to the edge preserving requirements, the Hessian matrix of the cost function varies during the minimization process. We develop an efficient update scheme for the preconditioner in order to cope with this situation. Unlike some other acceleration strategies that round the displacement values between the low-resolution (LR) images on the HR grid, the proposed method does not sacrifice the optimality of the observation model. In addition, we describe a technique for preconditioning SR problems involving rational magnification factors. The use of such factors is motivated in part by the fact that, under certain circumstances, optimal SR zooms are nonintegers. We show that, by reordering the pixels of the LR images, the structure of the problem to solve is modified in such a way that preconditioners based on circulant operators can be used.

Resumo Limpo

propos simpl precondit method acceler solut edgepreserv imag superresolut sr problem linear shiftinvari point spread function employ techniqu involv reorder highresolut hr pixel similar manner done precondit method quadrat sr formul howev due edg preserv requir hessian matrix cost function vari minim process develop effici updat scheme precondition order cope situat unlik acceler strategi round displac valu lowresolut lr imag hr grid propos method sacrific optim observ model addit describ techniqu precondit sr problem involv ration magnif factor use factor motiv part fact certain circumst optim sr zoom noninteg show reorder pixel lr imag structur problem solv modifi way precondition base circul oper can use

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