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Huang B, Li W. Numerical subspace algorithms for solving the tensor equations involving Einstein product [J]. Numerical Linear Algebra with Applications, 2021, 28(2): e2351.

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Article

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

1School of Mathematics and Computating Science, Center for Applied Mathematics of Guangxi (GUET), Guilin University of Electronics Technology, Guilin 541004, China


American Journal of Numerical Analysis. 2023, Vol. 7 No. 1, 1-8
DOI: 10.12691/ajna-7-1-1
Copyright © 2023 Science and Education Publishing

Cite this paper:
Ziqi Yan, Chenliang Li, Yuhan Chen. Cascadic Tensor Multigrid Method and Economic Cascadic Tensor Multigrid Method for Image Restoration Problems. American Journal of Numerical Analysis. 2023; 7(1):1-8. doi: 10.12691/ajna-7-1-1.

Correspondence to: Chenliang  Li, School of Mathematics and Computating Science, Center for Applied Mathematics of Guangxi (GUET), Guilin University of Electronics Technology, Guilin 541004, China. Email: chenli@guet.edu.cn

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.

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