An Adaptive PDE Image Processing Method Based on Lp Norm
基于Lp范数的局部自适应偏微分方程图像恢复

A new Lp regulation based PDE image processing model is proposed to improve the TV model by Tony Chan and the p-Laplace method by Zhang. The new model adopts adaptive regulation at different pixels of the image, in contrast to the TV method using a global regulation, so that it keeps the detail information such as edges better while diffuses the flat regions. Numerical experiments on image denoising, deblurring and inpainting are given to show that the new model is superior to the existing models.