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Reichel, L. and Shyshkov, A. (2010) Cascadic Multilevel Methods for Ill-Posed Problems. Journal of Computational and Applied Mathematics, 233, 1314-1325.
https://doi.org/10.1016/j.cam.2009.03.019

has been cited by the following article:

• TITLE: A New Extrapolation Economy Cascadic Multigrid Method for Image Restoration Problems

  AUTHORS: Zhaoteng Chu, Ziqi Yan, Chenliang Li

  KEYWORDS: Extrapolation Economy Cascadic Multigrid Method, New Extrapolation Formula, Edge Preserving Denoising Operator, Local Smoothing Operator

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.13 No.2, June 26, 2023

  ABSTRACT: 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.