A Fast Splitting Method for efficient Split Bregman Iterations

TL;DR

This paper introduces a new fast splitting algorithm for the Split Bregman method, improving efficiency and accuracy in imaging applications, with proven convergence and demonstrated computational benefits.

Contribution

The paper presents a novel splitting algorithm that accelerates Split Bregman iterations and proves its convergence, enhancing performance in imaging tasks.

Findings

Proposed algorithm converges reliably.

Numerical tests show improved efficiency.

Enhanced accuracy in imaging applications.

Abstract

In this paper we propose a new fast splitting algorithm to solve the Weighted Split Bregman minimization problem in the backward step of an accelerated Forward-Backward algorithm. Beside proving the convergence of the method, numerical tests, carried out on different imaging applications, prove the accuracy and computational efficiency of the proposed algorithm.