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All Journal TELKOMNIKA (Telecommunication Computing Electronics and Control)
Fouzia Hamadache
University of Mohamed El Bachir El Ibrahimi
Computer Science & IT

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Edge-aware adaptive partial differential equation image inpainting for high-quality restoration Fouzia Hamadache; Zine-Eddine Baarir; Nacira Diffellah; Abdelmalik Ahmed-Taleb; Tewfik Bekkouche; Rabah Hamdini
TELKOMNIKA (Telecommunication Computing Electronics and Control) Vol 24, No 5: October 2026
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12928/telkomnika.v24i5.27914

Abstract

Image inpainting aims to reconstruct missing or damaged regions in digital images while preserving structural consistency and visual coherence. Among partial differential equation (PDE)-based approaches, the model introduced by Marcelo Bertalmio is a foundational technique for isophote-driven structure propagation. However, its performance often degrades in large damaged re gions. This limitation is mainly caused by insufficient transport strength and isotropic diffusion, which lead to structural blurring. In this paper, we propose an edge-aware adaptive PDE inpainting model that introduces a transport am plification factor and a spatially-adaptive diffusion term to improve edge prop agation and structural preservation. Experimental results on various test im ages demonstrate that the proposed approach improves structural reconstruction. Quantitative evaluation using peak signal-to-noise ratio (PSNR) and structural similarity index (SSIM) metrics confirms higher restoration accuracy and better edge preservation compared with baseline methods.
Co-Authors Abdelmalik Ahmed-Taleb Nacira Diffellah Rabah Hamdini Tewfik Bekkouche Zine-Eddine Baarir