Non-convex TV denoising corrupted by impulse noise
Yoon Mo Jung, Taeuk Jeong, Sangwoon Yun · Inverse Problems and Imaging · 2017
We propose a non-convex type total variation model for impulse noise removal by incorporating TV and the quasi-norm $\ell_q $, $0 < q < 1 $. Since the proposed model is non-convex and non-smooth, an iteratively reweighted algorithm is adapted and combined with a linearized ADMM. The convergence of the proposed algorithm is established and numerical results are given to illustrate the validity and efficiency of the proposed model.