A quasi-solution on a lattice graph for an initial state reconstruction

被引：0

作者：

Khoa, Vo Anh ^{[1
]}

My, Nguyen Bach Ngoc ^{[2
]}

机构：

[1] Florida A&M Univ, Dept Math, Tallahassee, FL 32307 USA

[2] Vietnam Natl Univ, Univ Sci, Fac Math & Comp Sci, Ho Chi Minh City, Vietnam

来源：

APPLIED MATHEMATICS LETTERS | 2023年 / 142卷

关键词：

Initial state reconstruction; Convergence estimates; Lattice graph; Quasi-solution; BOUNDARY VALUE METHOD;

D O I：

10.1016/j.aml.2023.108648

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This note considers a graph-based initial state reconstruction in image denoising. Our particular focus is on developing a quasi-model by a combination of boundary perturbation methods. The corresponding spectral quasi-solution enables one to stably approximate the original pixelated image after the standard forward- backward denoising process. Convergence estimates are derived with respect to the deterministic noise level. Some numerical examples are provided to verify the performance of the method.(c) 2023 Elsevier Ltd. All rights reserved.

引用

页数：7

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