L1 Based Local Adaptive Image Decomposition Variational Method
一种基于L1的图像自适应分解变分方法

Image can be decomposed into homogenous components u and oscillatory components v by using variational methods. However the solution of traditional variational methods has contrast loss and staircasing effect. Now we propose a local adaptive variational decomposition method based on L1. Using L1-norm as the fidelity term, we can get the solution which preserves the edges of original images and the contrast invariant. At the same time, the adaptive function which we induced here can reduce the staircasing effect on homogenous component u. Numerical results are presented, showing that the new method works better on several various types of images for image decomposition and denoising than traditional methods.