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A New Extrapolation Economy Cascadic Multigrid Method for Image Restoration Problems

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arxiv 2311.03010 v1 pith:IMSBK552 submitted 2023-11-06 math.NA cs.NA

A New Extrapolation Economy Cascadic Multigrid Method for Image Restoration Problems

classification math.NA cs.NA
keywords methodextrapolationimageoperatorcascadiceconomymultigridrestoration
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In this paper, a new extrapolation economy cascadic multigrid method is proposed to solve the image restoration model. The new method combines the new extrapolation formula and quadratic interpolation to design a nonlinear prolongation operator, which provides more accurate initial values for the fine grid level. An edge preserving denoising operator is constructed to remove noise and preserve image edges. The local smoothing operator reduces the influence of staircase effect. The experiment results show that the new method not only improves the computational efficiency but also ensures good recovery quality.

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