R440, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 440室)
Augmented Lagrange Method, Dual Methods and Split Bregman Iteration for ROF Model
Yi-Su Lo (National Central University)
In recent years, the Rudin-Osher-Fatemi (ROF) model has been shown to be very successful in the edge-preserving image restoration. It forms a total variation minimization problem with simple form and computational difficulties. To this end, several dual methods and the split Bregman method are applied. In this talk, we review these methods and introduce a framework proposed by Tai and Wu for interpreting the relationship among them and the traditional Lagrangian and penalty approach for optimization. Moreover, a concrete numerical example which demonstrates the implementation of the algorithm is presented as well.
Reference
C. Wu and X.-C. Tai, Augmented Lagrangian method, dual methods, and split Bregman iteration for ROF, vectorial TV, and high order models, SIAM J. Imaging Sci., 3 (2010), pp. 300–339.
