关键词: 图像复原, 偏微分方程, 全变分

Abstract: The paper illustrates a function of describing image restoration based on Partial Differential Equation(PDE),and deduces new PDE image restoration model.It can eliminate noise perfectly and keep the characteristic of the image nicely.Compared with other classical restorational methods,the new model has advantage in theory.Moreover,it effectively sovles the contradiction between keeping edge and smoothing excessively.The simulation shows that the new model can perfectly restore image and keep the edge characteristic of the image nicely.

Key words: image restoration, Partial Differential Equation(PDE), total variation