Past Talks・Fall 2016
201610/17Mon Talk

Augmented Lagrangian method for Rudin-Osher-Fatemi image model

邵培強先生國立中央大學數學系 上午 10:00–12:00 Hongjing Hall 107 室
Abstract: In this talk we will introduce the augmented Lagrangian method (ALM) [1, 2] for solving the Rudin-Osher-Fatemi total variation model [3]. The relation between ALM and split Bregman iteration will also be discussed. References: [1] X. C. Tai and C. Wu, Augmented Lagrangian method, dual methods and split Bregman iteration for ROF model, in Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision, 2009, Springer. [2] C. Wu and X. C. Tai, Augmented Lagrangian method, dual methods and split Bregman iteration for ROF, vectorial TV, and high order models, SIAM Journal on Imaging Sciences, 1, (2008), pp. 248-272. [3] L. I. Rudin, S. Osher, and E. Fatemi, Nonlinear total variation based noise removal algorithms, Physica D, 60 (1992), pp. 259-268.