An image smoothing method of two-dimensional wavelet interpolation
图像平滑的2维小波插值方法

In image smoothing with diffusion equation, general methods are to construct difference equation of diffusion, then solve it with initialization and edge condition. These methods have low precision and diffuse error quickly. So a wavelet interpolation method is structured in this paper and is applied to solve the diffusion equation. We get a method to Alvarez model by two-dimensional wavelet interpolation method. Wavelet function possess better partial character, compared with finite difference method, wavelet method has higher precision, slower speed of error diffusion, and not is sensitive to time interval. The experiment shows the advantages of this method compared with difference method.