IEEE Trans Image Process - Accelerated edge-preserving image restoration without boundary artifacts.

Tópicos

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Resumo

To reduce blur in noisy images, regularized image restoration methods have been proposed that use nonquadratic regularizers (like l1 regularization or total-variation) that suppress noise while preserving edges in the image. Most of these methods assume a circulant blur (periodic convolution with a blurring kernel) that can lead to wraparound artifacts along the boundaries of the image due to the implied periodicity of the circulant model. Using a noncirculant model could prevent these artifacts at the cost of increased computational complexity. In this paper, we propose to use a circulant blur model combined with a masking operator that prevents wraparound artifacts. The resulting model is noncirculant, so we propose an efficient algorithm using variable splitting and augmented Lagrangian (AL) strategies. Our variable splitting scheme, when combined with the AL framework and alternating minimization, leads to simple linear systems that can be solved noniteratively using fast Fourier transforms (FFTs), eliminating the need for more expensive conjugate gradient-type solvers. The proposed method can also efficiently tackle a variety of convex regularizers, including edge-preserving (e.g., total-variation) and sparsity promoting (e.g., l1-norm) regularizers. Simulation results show fast convergence of the proposed method, along with improved image quality at the boundaries where the circulant model is inaccurate.

Resumo Limpo

reduc blur noisi imag regular imag restor method propos use nonquadrat regular like l regular totalvari suppress nois preserv edg imag method assum circul blur period convolut blur kernel can lead wraparound artifact along boundari imag due impli period circul model use noncircul model prevent artifact cost increas comput complex paper propos use circul blur model combin mask oper prevent wraparound artifact result model noncircul propos effici algorithm use variabl split augment lagrangian al strategi variabl split scheme combin al framework altern minim lead simpl linear system can solv nonit use fast fourier transform ffts elimin need expens conjug gradienttyp solver propos method can also effici tackl varieti convex regular includ edgepreserv eg totalvari sparsiti promot eg lnorm regular simul result show fast converg propos method along improv imag qualiti boundari circul model inaccur

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