基于高阶偏微分方程的非线性去噪算法

A Nonlinear Noise Removal Algorithm Based on the High Order Partial Differential Equations

提出了一种将小波分析与高阶偏微分方程相结合的非线性方法。这种方法利用小波分析的时频局部性和高阶偏微分方程的平缓图像轮廓的特性对图像进行处理,不仅很好地抑制了噪声,而且使图像保留了尽可能多的细节,看起来更平滑自然。实验结果表明了该方法的有效性。

In this paper,a nonlinear method for combining wavelet transform with high order partial differential equation is proposed. By using the properties of time - frequency of wavelet transform and smoothing the outline of images of high order partial differential equation, the method can not only well restrain noise but also keep much more details of images. The test results show the effectiveness of the method.