arXiv:2502.15986cs.CV2025-02

改进PDE模型与快速近似算法,提升雾霾/水下/沙尘图像增强效果。

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

  • 结合对数图像处理与线性滤波器优化PDE模型,提升去雾精度。
  • 有效避免图像发暗、边缘过增强及天空区域过度增强问题。
  • 适用于水下和沙尘场景,适合图像增强与视觉质量提升研究者。

本文提出一种改进的基于偏微分方程(PDE)的去雾算法。该方法将对数图像处理模型融入PDE框架,并通过空间或频域的线性滤波器进行优化。同时,开发了一种针对雾霾图像形成模型的快速简化近似函数,结合模糊同态优化策略。所提算法有效解决了以往方法中存在的图像发暗、边缘过增强以及暗区增强不足等问题,同时避免了天空区域过度增强和伪影(halo)效应。此外,算法进一步拓展至水下与沙尘场景,引入改进的全局对比度增强机制。实验结果表明,该方法在多个量化图像质量指标上优于文献中多数现有算法。

原文摘要 · Abstract (English)

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.

图像增强PDE模型去雾算法水下成像

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