A Simple but Universal Fully Linearized ADMM Algorithm for Optimization Based Image Reconstruction.

ABSTRACT:

Background and objective

Optimization based image reconstruction algorithm is an advanced algorithm in medical imaging. However, the corresponding solving algorithm is challenging because the optimization model is usually large-scale and non-smooth. This work aims to devise a simple but universal solver for optimization models.

Methods

The alternating direction method of multipliers (ADMM) algorithm is a simple and effective solver of the optimization models. However, there always exists a sub-problem that has not closed-form solution. One may use gradient descent algorithm to solve this sub-problem, but the step-size selection via line search is time-consuming. Or, one may use fast Fourier transform (FFT) to get a closed-form solution if the system matrix and the sparse tra

SUBMITTER: Qiao Z 

PROVIDER: S-EPMC10168464 | biostudies-literature | 2023 Apr

REPOSITORIES: biostudies-literature