Haze removal using a hybrid convolutional sparse representation model

Ye Cai, Lan Luo, Hongxia Gao, Shicheng Niu, Weipeng Yang, Tian Qi, Guoheng Liang
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Abstract

Haze removal is a challenging task in image recovery, because hazy images are always degraded by turbid media in atmosphere, showing limited visibility and low contrast. Analysis Sparse Representation (ASR) and Synthesis Sparse Representation (SSR) has been widely used to recover degraded images. But there are always unexpected noise and details loss in the recovered images, as they take relatively less account of the images’ inherent coherence between image patches. Thus, in this paper, we propose a new haze removal method based on hybrid convolutional sparse representation, with consideration of the adjacent relationship by convolution and superposition. To integrate optical model into a convolutional sparse framework, we separate transmission map by transforming it into logarithm domain. And then a structure-based constraint on transmission map is proposed to maintain piece-wise smoothness and reduce the influence brought by pseudo depth abrupt edges. Experiment results demonstrate that the proposed method can restore fine structure of hazy images and suppress boosted noise.
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基于混合卷积稀疏表示模型的雾霾去除
雾霾去除是图像恢复中的一项具有挑战性的任务,因为雾霾图像通常会被大气中浑浊的介质降解,能见度有限,对比度较低。分析稀疏表示(ASR)和合成稀疏表示(SSR)被广泛用于退化图像的恢复。但由于相对较少考虑图像块间固有的相干性,恢复后的图像中总会出现意想不到的噪声和细节损失。因此,在本文中,我们提出了一种基于混合卷积稀疏表示的雾霾去除新方法,通过卷积和叠加来考虑相邻关系。为了将光学模型整合到卷积稀疏框架中,我们将传输映射转换为对数域进行分离。然后提出了一种基于结构的传输图约束,以保持传输图的分段平滑性,降低伪深度突变边带来的影响。实验结果表明,该方法能较好地恢复模糊图像的精细结构,抑制增强噪声。
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