Fixed-point Method for a New TVL2 Image Segmentation Model
Kyoum Sun Kim · Liberal Arts Innovation Center · 2025
In this paper, we propose a new TVL2 regularization model for image segmentation, and then we propose a fixed-point method and a split Bregman method for solving the new proposed image segmentation model. We also provide convergence analysis for the fixed-point method. Lastly, we provide numerical experiments for several test problems in order to evaluate the effectiveness of two iterative methods. Numerical results show that the proposed fixed-point method is well suited for the new TVL2 model.