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Mathematics > Numerical Analysis

arXiv:2311.01924 (math)
[Submitted on 3 Nov 2023]

Title:Cascadic Tensor Multigrid Method and Economic Cascadic Tensor Multigrid Method for Image Restoration Problems

Authors:Ziqi Yan, Chenliang Li, Yuhan Chen
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Abstract:A cascadic tensor multigrid method and an economic cascadic tensor multigrid method is presented for solving the image restoration models. The methods use quadratic interpolation as prolongation operator to provide more accurate initial values for the next fine grid level, and constructs a preserving-edge-denoising operator to obtain better edges and remove noise. The experimental results show that the new methods not only improves computational efficiency but also achieve better restoration quality.
Subjects: Numerical Analysis (math.NA)
MSC classes: 15A69, 65F22, 68U10, 65M55
Cite as: arXiv:2311.01924 [math.NA]
  (or arXiv:2311.01924v1 [math.NA] for this version)
  https://doi.org/10.48550/arXiv.2311.01924
Journal reference: American Journal of Numerical Analysis. 2023; 7(1):1-8
Related DOI: https://doi.org/10.12691/ajna-7-1-1

Submission history

From: Chenliang Li [view email]
[v1] Fri, 3 Nov 2023 14:02:25 UTC (864 KB)
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