Denoising on Textured Image Using Total Generalized Variation With Overlapping Group Sparsity Based on Fast Split Bregman Method

The Total Generalized Variation (TGV) model proves effective in removing texture and background patterns in natural images while suppressing the staircase effect introduced by traditional Total Variation (TV) regularization. Nevertheless, TGV falls short in preserving structural features due to its...

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Main Authors: Cheng Zhang, Kin Sam Yen
Format: Article
Language:English
Published: IEEE 2024-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/10413467/
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author Cheng Zhang
Kin Sam Yen
author_facet Cheng Zhang
Kin Sam Yen
author_sort Cheng Zhang
collection DOAJ
description The Total Generalized Variation (TGV) model proves effective in removing texture and background patterns in natural images while suppressing the staircase effect introduced by traditional Total Variation (TV) regularization. Nevertheless, TGV falls short in preserving structural features due to its lack of consideration for such structural features. This paper introduces Overlapping Group Sparsity (OGS) regularization into the TGV model with the specific aim of enhancing denoising, particularly in textured images. By leveraging prior knowledge of sparse structures discernible from first-order and second-order gradients, this model surpasses the conventional TGV models in achieving superior denoising and staircase effect elimination. The model proposed employs a fast split Bregman iteration method to address the L1 regularization problem within the complex TGV model combined with OGS. The experimental results comparing various state-of-the-art denoising TV- and TGV-based models highlight a significant improvement in the denoising performance of the proposed model. Specifically, in comparison to the average values of peak signal-to-noise ratio (PSNR) and structural similarity index measure (SSIM) obtained from other state-of-the-art models, the proposed model demonstrated improvements of 3.5% in PSNR and 3.4% in SSIM.
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spelling doaj.art-7d008156f07e41bfb8f7288a9aeb4beb2024-02-09T00:02:46ZengIEEEIEEE Access2169-35362024-01-0112191451915710.1109/ACCESS.2024.335783510413467Denoising on Textured Image Using Total Generalized Variation With Overlapping Group Sparsity Based on Fast Split Bregman MethodCheng Zhang0https://orcid.org/0009-0006-3907-1852Kin Sam Yen1https://orcid.org/0000-0002-7263-2854School of Mechanical Engineering, Universiti Sains Malaysia, Engineering Campus, Nibong Tebal, Penang, MalaysiaSchool of Mechanical Engineering, Universiti Sains Malaysia, Engineering Campus, Nibong Tebal, Penang, MalaysiaThe Total Generalized Variation (TGV) model proves effective in removing texture and background patterns in natural images while suppressing the staircase effect introduced by traditional Total Variation (TV) regularization. Nevertheless, TGV falls short in preserving structural features due to its lack of consideration for such structural features. This paper introduces Overlapping Group Sparsity (OGS) regularization into the TGV model with the specific aim of enhancing denoising, particularly in textured images. By leveraging prior knowledge of sparse structures discernible from first-order and second-order gradients, this model surpasses the conventional TGV models in achieving superior denoising and staircase effect elimination. The model proposed employs a fast split Bregman iteration method to address the L1 regularization problem within the complex TGV model combined with OGS. The experimental results comparing various state-of-the-art denoising TV- and TGV-based models highlight a significant improvement in the denoising performance of the proposed model. Specifically, in comparison to the average values of peak signal-to-noise ratio (PSNR) and structural similarity index measure (SSIM) obtained from other state-of-the-art models, the proposed model demonstrated improvements of 3.5% in PSNR and 3.4% in SSIM.https://ieeexplore.ieee.org/document/10413467/Total generalized variationoverlapping group sparsitytexture denoisingsplit Bregman
spellingShingle Cheng Zhang
Kin Sam Yen
Denoising on Textured Image Using Total Generalized Variation With Overlapping Group Sparsity Based on Fast Split Bregman Method
IEEE Access
Total generalized variation
overlapping group sparsity
texture denoising
split Bregman
title Denoising on Textured Image Using Total Generalized Variation With Overlapping Group Sparsity Based on Fast Split Bregman Method
title_full Denoising on Textured Image Using Total Generalized Variation With Overlapping Group Sparsity Based on Fast Split Bregman Method
title_fullStr Denoising on Textured Image Using Total Generalized Variation With Overlapping Group Sparsity Based on Fast Split Bregman Method
title_full_unstemmed Denoising on Textured Image Using Total Generalized Variation With Overlapping Group Sparsity Based on Fast Split Bregman Method
title_short Denoising on Textured Image Using Total Generalized Variation With Overlapping Group Sparsity Based on Fast Split Bregman Method
title_sort denoising on textured image using total generalized variation with overlapping group sparsity based on fast split bregman method
topic Total generalized variation
overlapping group sparsity
texture denoising
split Bregman
url https://ieeexplore.ieee.org/document/10413467/
work_keys_str_mv AT chengzhang denoisingontexturedimageusingtotalgeneralizedvariationwithoverlappinggroupsparsitybasedonfastsplitbregmanmethod
AT kinsamyen denoisingontexturedimageusingtotalgeneralizedvariationwithoverlappinggroupsparsitybasedonfastsplitbregmanmethod