A Defogging Algorithm for Dense Fog Images via Low-Rank and Dictionary Expression Decomposition

doi:10.7652/xjtuxb202004015

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A Defogging Algorithm for Dense Fog Images via Low-Rank and Dictionary Expression Decomposition

更新时间：2025-07-09

- A Defogging Algorithm for Dense Fog Images via Low-Rank and Dictionary Expression Decomposition
- Vol. 54, Issue 4, Pages: 118-125(2020)
- 作者机构：
  
  西安交通大学电子与信息学部,西安,710049
- 作者简介：
- 基金信息：
- DOI：10.7652/xjtuxb202004015
  CLC： TP391
- Online First：10 April 2020，
  
  Published：2020
- 稿件说明：
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A Defogging Algorithm for Dense Fog Images via Low-Rank and Dictionary Expression Decomposition[J]. 2020, 54(4): 118-125.
DOI：

A Defogging Algorithm for Dense Fog Images via Low-Rank and Dictionary Expression Decomposition[J]. 2020, 54(4): 118-125. DOI： 10.7652/xjtuxb202004015.

摘要

针对现有图像去雾算法对浓雾霾场景图像去雾效果不理想的问题

提出了一种低秩与字典表达分解的浓雾霾场景图像去雾算法。首先

根据大气散射物理模型与浓雾霾场景图像中“雾”的全局低秩特性

将退化图像看作低秩“雾”图与相对低秩无雾清晰图像的叠加; 其次

将“雾”图表示为字典矩阵与表达矩阵的乘积

从而通过低秩与字典表达分解模型分解出“雾”图; 再次

利用双三次插值将分解得到的局部“雾”图推广到全局; 最后通过减去“雾”图恢复出无雾的清晰图像。实验结果表明:与现有主流图像去雾算法相比

该算法对浓雾霾场景图像的去雾效果更优

对194幅真实浓雾霾场景图像去雾后

图像平均可见边缘比到达了21.315

平均可见边缘质量因子达到了4.540

图像细节信息得到了较好的恢复。

Abstract

A defogging algorithm for dense fog images based on low-rank and dictionary expression decomposition is proposed to improve the problem that the existing image defogging algorithm is not ideal for image defogging of ha-e scene. Based on the atmospheric scattering physical model and the global low-rank characteristics of -fog- in the ha-e scene image

the degraded image is assumed as a composition of a low-rank -fog- image and an original clear image. Then the -fog- image is expressed as a product of a dictionary matrix and a sparse matrix

so that the -fog- image can be decomposed through the low-rank and dictionary expression decomposition model. The decomposed local -fog- image is extended to a global level by combining the bicubic interpolation. The clear image is finally recovered by subtracting the -fog- image. Experimental results and comparisons with existing mainstream image defogging algorithms on 194 real dense fog images show that the proposed algorithm has bette

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references

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