A novel weighted anisotropic total variational model for image applications

Meng Meng Li; Bing Zhao Li

doi:10.1007/s11760-021-01977-4

A novel weighted anisotropic total variational model for image applications

Meng Meng Li, Bing Zhao Li^*

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

In this paper, a novel weighted anisotropic total variational (WATV) model is proposed for image restoration. In this model, a weight function is defined to process degraded images, which is introduced into the ℓ₁ norm-based regularization. In order to efficiently compute the restored images, the alternating direction method of multipliers (ADMM) is explored and the according convergence is analyzed briefly. The proposed model is applied to recover images with blurring and noise. Compared experiments of deblurring, denoising as well as restoration are conducted to show the effectiveness and efficiency of the proposed WATV model.

Original language	English
Pages (from-to)	211-218
Number of pages	8
Journal	Signal, Image and Video Processing
Volume	16
Issue number	1
DOIs	https://doi.org/10.1007/s11760-021-01977-4
Publication status	Published - Feb 2022

Keywords

ADMM
Image restoration
Total variational
Weight function

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10.1007/s11760-021-01977-4

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title = "A novel weighted anisotropic total variational model for image applications",

abstract = "In this paper, a novel weighted anisotropic total variational (WATV) model is proposed for image restoration. In this model, a weight function is defined to process degraded images, which is introduced into the ℓ1 norm-based regularization. In order to efficiently compute the restored images, the alternating direction method of multipliers (ADMM) is explored and the according convergence is analyzed briefly. The proposed model is applied to recover images with blurring and noise. Compared experiments of deblurring, denoising as well as restoration are conducted to show the effectiveness and efficiency of the proposed WATV model.",

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AB - In this paper, a novel weighted anisotropic total variational (WATV) model is proposed for image restoration. In this model, a weight function is defined to process degraded images, which is introduced into the ℓ1 norm-based regularization. In order to efficiently compute the restored images, the alternating direction method of multipliers (ADMM) is explored and the according convergence is analyzed briefly. The proposed model is applied to recover images with blurring and noise. Compared experiments of deblurring, denoising as well as restoration are conducted to show the effectiveness and efficiency of the proposed WATV model.

KW - ADMM

KW - Image restoration

KW - Total variational

KW - Weight function

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A novel weighted anisotropic total variational model for image applications

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Keywords

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