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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