An Iterative PDE Based Illumination Restoration Scheme for Image Enhancement
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866911006551179264 |
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| author | Covei, Dragos-Patru |
| author_facet | Covei, Dragos-Patru |
| contents | We present a novel iterative scheme for restoring uneven illumination in grayscale images. Our approach solves, at each global iteration, a nonlinear elliptic equation for an auxiliary field $u$ and then updates the illumination via an explicit time-marching step driven by the logarithmic potential of $u$. We establish existence and uniqueness of the discrete subproblems, analyze convergence of the fixed point iteration, and demonstrate performance on standard test images, reporting PSNR and SSIM gains over classical methods. Future work will address color coupling and GPU acceleration. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_12560 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An Iterative PDE Based Illumination Restoration Scheme for Image Enhancement Covei, Dragos-Patru Analysis of PDEs Optimization and Control We present a novel iterative scheme for restoring uneven illumination in grayscale images. Our approach solves, at each global iteration, a nonlinear elliptic equation for an auxiliary field $u$ and then updates the illumination via an explicit time-marching step driven by the logarithmic potential of $u$. We establish existence and uniqueness of the discrete subproblems, analyze convergence of the fixed point iteration, and demonstrate performance on standard test images, reporting PSNR and SSIM gains over classical methods. Future work will address color coupling and GPU acceleration. |
| title | An Iterative PDE Based Illumination Restoration Scheme for Image Enhancement |
| topic | Analysis of PDEs Optimization and Control |
| url | https://arxiv.org/abs/2506.12560 |