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Karami, Afsaneh 
ORCID: https://orcid.org/0009-0003-4156-2827 and Finlayson, Graham D.
(2025)
Gauss-Seidel Retinex.
In: UNSPECIFIED.
Abstract
Retinex has many algorithmic variants, differing in the method used to decouple illumination from reflectance, including path-based methods, center-surround operators, and lightness processing. The center-surround approach is putatively the most compatible with the human visual mechanism, as it mimics the operation in receptive fields to detect lightness ratios between a central region and its annular surround. In our previous work [8], we reformulated the path-based McCann99 Retinex into an iterative convolutional center-surround framework, introducing the Jacobi Retinex algorithm. In this paper, we propose a modified version of the Jacobi approach by replacing the Jacobi iteration with Gauss-Seidel, resulting in faster convergence. The Gauss-Seidel method can also be considered a convolutional center-surround algorithm, but it uses an immediate as opposed to a delayed replacement strategy in Jacobi convolution. This immediate replacement strategy allows Retinex to use the most recently computed values within the current iteration—unlike Jacobi, which relies on values from the previous iteration—thereby accelerating convergence. Both the Jacobi and Gauss-Seidel variants, compared to McCann99, return images of equal or better quality with fewer artefacts such as halos.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Faculty \ School: | Faculty of Science Faculty of Science > School of Computing Sciences |
| UEA Research Groups: | Faculty of Science > Research Groups > Colour and Imaging Lab |
| Depositing User: | LivePure Connector |
| Date Deposited: | 26 Jun 2026 11:03 |
| Last Modified: | 26 Jun 2026 11:03 |
| URI: | https://ueaeprints.uea.ac.uk/id/eprint/103507 |
| DOI: |
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