一种基于四阶偏微分方程的图像去噪方法

本文在You-Kaveh模型的基础上,提出了一个新的拉普拉斯算子,使其能够包括更多的图像信息,同时改进了拉普拉斯算子的离散形式,得到了一个新的四阶偏微分方程。实验结果表明,新模型和You-Kaveh模型相比,不仅能够更好地去除高斯噪声,而且视觉效果更加理想。

A Noise Removal Method Based on Fourth-Order Partial Differential Equations

In this paper, a new Laplace operator is proposed. The new operator can contain more image information. Meanwhile, the discretiza- tion form of Laplace operator is improved. And a new partial differential equation denoising model is obtained. Compared to Y-K model, the new model can not only remove the gaussian noise better,but also the vision effect are superior to the image processed by Y-K model.