An Improve Variational Model for Removal of Combined Additive and Multiplicative Noise

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Published: Oct 29, 2024
Keywords:
Image restoration Image denoising Variational method

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Siriwan Chankan
Division of Mathematics and Statistics, Faculty of Science and Technology, Kanchanaburi Rajabhat University, Kanchanaburi 71190
Sopida Sukyankij
Division of Applied Mathematics, Faculty of Science and Technology, Phranakhon Si Ayutthaya Rajabhat University, Phranakhon Si Ayutthaya 13000

Abstract

Image denoising isoneof the most important tasks inimagerestoration.Thegoal is toremove noise from a given corrupted digital image to improve its quality before use. In general, there are two types of noise models: additive noise models and multiplicative noise models. In this paper, we present threevariational models,KKWV-TV,KKWV-TL, and KKWV-TVL models, for therestoration of images with combined additive and multiplicative noise in a single step, together with numerical methods for solving the associated differential equations. Numerical tests with synthetic, realistic and medical images confirm that our three models deliver accurate and reliable results. Moreover, the proposed numericalalgorithm can workefficiently withtheKKWV-TVL modeland provideshigher quality results than the KKWV-TV model and the KKWV-TL models.

Article Details

Issue
Vol.32 No.5 (September-October 2024)
Section
Physical Sciences

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