On Semismooth Newton's Methods for Total Variation Minimization

In [2], Chambolle proposed an algorithm for minimizing the total variation of an image. In this short note, based on the theory on semismooth operators, we study semismooth Newton’s methods for total variation minimization. The convergence and numerical results are also presented to show the effectiveness of the proposed algorithms.

• Type: Journal
• Year: 2007
• Where: JMIV
• Authors: Michael K. Ng, Liqun Qi, Yu-Fei Yang, Yu-Mei Huang
• Keywords: JMIV 2007, Short Note, Total Variation, Total Variation Minimization