中文摘要：

针对经典的暗原色理论算法在处理雾天图像时色调和亮度失真的问题,该文提出一种基于四阶偏微分方程（PDE）模型的暗原色理论雾天图像增强算法。该方法通过容差机制对图像区域进行分割,根据阈值判断明亮和非明亮区;并引入四阶PDE模型对透射率图像进行平滑处理;再通过容差机制,实现对透射率图像的精确修正;最后采用暗原色理论数学模型求取增强后的图像。主观观察和客观评价证明,在整体和细节方面该算法比经典的暗原色算法有更好的处理效果。

英文摘要：

To deal with the image hue and brightness distortion problems in the classic dark channel theory algorithm,the enhancement dark channel algorithm of fog image based on the fourth-order partial differential equations（ PDE） model is proposed here. According to the threshold,the image is segmented by the tolerance mechanism and distinguishes between bright areas and dark channel areas,the transmission image is smoothed by the introduced fourth-order PDE model,and the image is pre-cisly corrected by the tolerance mechanism. An defogging enhancement image is obtained through the dark channel theory. The subjective observation and objective evaluation show that the algorithm is better than the classic dark channel algorithm in the overall and details.