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arXiv · 2506.08793

A PDE-Based Image Dehazing Method via Atmospheric Scattering Theory

Liubing Hu·Pu Wang·Guangwei Gao·Chunyan Wang·Zhuoran Zheng
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Abstract

This paper introduces a novel partial differential equation (PDE) framework for single-image dehazing. We embed the atmospheric scattering model into a PDE featuring edge-preserving diffusion and a nonlocal operator to maintain both local details and global structures. A key innovation is an adaptive regularization mechanism guided by the dark channel prior, which adjusts smoothing strength based on haze density. The framework's mathematical well-posedness is rigorously established by proving the existence and uniqueness of its weak solution in $H_0^1(\Omega)$. An efficient, GPU-accelerated fixed-point solver is used for implementation. Experiments confirm our method achieves effective haze removal while preserving high image fidelity, offering a principled alternative to purely data-driven techniques.

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Liubing Hu, Pu Wang, Guangwei Gao, Chunyan Wang, Zhuoran Zheng. 2025-06-10. A PDE-Based Image Dehazing Method via Atmospheric Scattering Theory. https://arxiv.org/abs/2506.08793

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