Wavelet Inpainting Based on p-Laplace Operator

填失踪或损坏的小浪系数的问题在这篇论文被考虑。禅宗，沈，和周建议了二个全部的变化(电视) 小浪 inpainting 模型解决这个问题。电视模型的主要利益是它能保留边很好，但是这个方法受不了楼梯效果。克服这个缺点，我们在本地坐标分析电视模型和 p-Laplace 操作员的物理特征，并且解释 p-Laplace 的那散开表演实质上比电视模型的优异。以后，一个 inpainting 模型基于为损坏小浪系数的 p-Laplace 操作员被介绍。而它能仍然使边以及电视模型锋利，这个新模型能有效地在电视模型减少楼梯效果。实验结果证明更好的 inpaingting 质量能与与我们的模型一起计算时间的少得多被完成。

The problem of filling in missing or damaged wavelet coefficients is considered in this paper.Chan,Shen,and Zhou have proposed two total variation（TV）wavelet inpainting models to solve this problem.The main benefit of TV model is that it can keep the edges very well,but this method suffers from the staircase effect.To overcome this defect,we analyze the physical characteristics of TV model and p-Laplace operator in local coordinates,and explain that diffusion performance of p-Laplace is superior to that of TV model in essence.Afterwards,an inpainting model based on p-Laplace operator for damaged wavelet coefficients is presented.This new model can effectively reduce the staircase effect in TV model whereas it can still keep sharp edges as well as TV model.Experiment results show that better inpaingting quality can be achieved with much less computing time with our model.