5 papers · 1 filter
An Overlapping Domain Decomposition Framework without Dual Formulation for Variational Imaging Problems
Jongho Park
In this paper, we propose a novel overlapping domain decomposition method that can be applied to various problems in variational imaging such as total variation minimization. Most…
Additive Schwarz Methods for Convex Optimization as Gradient Methods
Jongho Park
This paper gives a unified convergence analysis of additive Schwarz methods for general convex optimization problems. Resembling to the fact that additive Schwarz methods for linea…
Pseudo-linear Convergence of an Additive Schwarz Method for Dual Total Variation Minimization
Jongho Park
In this paper, we propose an overlapping additive Schwarz method for total variation minimization based on a dual formulation. The -energy convergence of the proposed metho…
Fast Nonoverlapping Block Jacobi Method for the Dual Rudin--Osher--Fatemi Model
Chang-Ock Lee, Jongho Park
We consider nonoverlapping domain decomposition methods for the Rudin--Osher--Fatemi~(ROF) model, which is one of the standard models in mathematical image processing. The image do…
A Finite Element Nonoverlapping Domain Decomposition Method with Lagrange Multipliers for the Dual Total Variation Minimizations
Chang-Ock Lee, Jongho Park
In this paper, we consider a primal-dual domain decomposition method for total variation regularized problems appearing in mathematical image processing. The model problem is trans…