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中文摘要：
在过去的十几年中，偏微分方程在图像增强中得到了越来越多的研究和应用。论文提出了一个带有局部耦合项的双向扩散框架。这个框架沿着等照度线（边缘）的梯度方向实施反向扩散以锐化边缘；而相反地沿切线方向实施正向扩散以去除噪声和锯齿伪像。为了进一步控制扩散过程，使其逼近于一个稳定的过程，并消除数值“爆炸”和过冲，笔者在双向扩散方程中增加一个局部耦合项；而且为了保持图像特征，利用图像的方向导数局部地调整非线性扩散系数。实验结果显示，该文算法可以显著地提高被增强图像的视觉质量。
英文摘要：
In the past decade there has been a growing amount of research concerning partial differential equations in image enhancement.In this paper,a bidirectional flow equation with local coupling term is presented,where an inverse diffusion is performed to sharpen edges along the normal directions to the isophote lines （edges）,while a normal diffusion is done to remove noise and artifacts （“jaggies”） along the tangent directions on the contrary.For further controlling it to approach a steady process and therefore avoiding explosion and overshoots,authors add a local coupling term to the bidirectional flow equation to preserve results close to the initial image.To preserve image features,the nonlinear diffusion coefficients are locally adjusted according to the directional derivatives of the image.Experimental results demonstrate that the algorithm substantially improves the subjective quality of the enhanced images。
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