An Improved Method For Image Regularization Based On Partial Differential Equation

We present a new method based on Partial Di?erential Equation to regularizethe noise images.Image processing base on PDE is a classical method, many scholarssuch as Perona, Malik, Alvarez have studied in this research field,from the paraboliclinear heat equation to the nonlinear di?usion equation and the Alvarez model, Nowmore and more models based on PDE have applied on image processing, In this paperwe improve the model before , combine the smoothing model and enhancing model,and get the result by AOS algorithm.At last we generalize it to vector-valued image.