Fourth-order nonlinear degenerate problem for image decomposition

The aim of this work is to study a new coupled fourth-order reaction-diffusion system, applied to image decomposition into cartoons and textures. The existence and uniqueness of an entropy solution to the system with initial data BH are established using Galerkin’s method. Then, numerical experiment...

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Bibliographic Details
Published in:SN partial differential equations and applications 2023-08, Vol.4 (4), Article 31
Main Authors: Nokrane, Ahmed, Alaa, Nour Eddine, Aqel, Fatima
Format: Article
Language:English
Subjects:
1. Theory of PDEs
Analysis
Mathematical and Computational Biology
Mathematical and Computational Engineering
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Numerical Analysis
Original Paper
Partial Differential Equations
Theoretical
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Summary:The aim of this work is to study a new coupled fourth-order reaction-diffusion system, applied to image decomposition into cartoons and textures. The existence and uniqueness of an entropy solution to the system with initial data BH are established using Galerkin’s method. Then, numerical experiments and comparisons with other models have been performed to show the efficiency of the proposed model in image decomposition.
ISSN:2662-2963
2662-2971
DOI:10.1007/s42985-023-00251-1