Shearlet shrinkage de-noising based total variation regularization
全变差正则化的Shearlet收缩去噪

Shearlet is a new-style multi-scale geometry analysis tool. It creates Shearlet functions which have different characteristics through zooming, shearing, translating and other affine transforming methods, and enables its capable of optimally sparse representation. Firstly, a digital Shearlet transform implementation method is proposed in this paper. And then, a new de-noising method that combines Shearlet transform and variation is presented, which mainly been established using a total variation regularization model to constraint condition on Shearlet transform domain. The proposed model aims at reducing Pseudo-Gibbs artifacts after simple threshold methods. Numerical examples demonstrate that the method can remove noises and keep edges effectively, leading to improved visual effect and PSNR.