CVFeb 21, 2025

Improved Partial Differential Equation and Fast Approximation Algorithm for Hazy/Underwater/Dust Storm Image Enhancement

arXiv:2502.15986v1h-index: 11Advances In Image and Video Processing
Originality Incremental advance
AI Analysis

This addresses image quality issues in challenging environments like haze, underwater, and dust storms, but appears incremental as it builds on existing PDE-based methods.

The paper tackles image enhancement for hazy, underwater, and dust storm images by proposing an improved PDE-based de-hazing algorithm that combines logarithmic models with linear filters and a fast approximation method. The result shows it surpasses most existing algorithms on quantitative quality metrics.

This paper presents an improved and modified partial differential equation (PDE)-based de-hazing algorithm. The proposed method combines logarithmic image processing models in a PDE formulation refined with linear filter-based operators in either spatial or frequency domain. Additionally, a fast, simplified de-hazing function approximation of the hazy image formation model is developed in combination with fuzzy homomorphic refinement. The proposed algorithm solves the problem of image darkening and over-enhancement of edges in addition to enhancement of dark image regions encountered in previous formulations. This is in addition to avoiding enhancement of sky regions in de-hazed images while avoiding halo effect. Furthermore, the proposed algorithm is utilized for underwater and dust storm image enhancement with the incorporation of a modified global contrast enhancement algorithm. Experimental comparisons indicate that the proposed approach surpasses a majority of the algorithms from the literature based on quantitative image quality metrics.

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