@Article{NMTMA-5-260, author = {Chunxiao Liu, Dexing Kong and Shengfeng Zhu}, title = {A Primal-Dual Hybrid Gradient Algorithm to Solve the LLT Model for Image Denoising}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2012}, volume = {5}, number = {2}, pages = {260--277}, abstract = {

We propose an efficient gradient-type algorithm to solve the fourth-order LLT denoising model for both gray-scale and vector-valued images. Based on the primal-dual formulation of the original nondifferentiable model, the new algorithm updates the primal and dual variables alternately using the gradient descent/ascent flows. Numerical examples are provided to demonstrate the superiority of our algorithm.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2012.m1047}, url = {http://global-sci.org/intro/article_detail/nmtma/5938.html} }