Constrained and Regularized Quantitative Ultrasound Parameter Estimation using ADMM

TL;DR

This paper enhances the estimation of quantitative ultrasound parameters by integrating physical constraints into the ADMM algorithm, leading to more realistic and accurate parameter estimates validated with experimental data.

Contribution

It introduces a constrained ADMM approach that incorporates minimum physical bounds for QUS parameters, improving estimation accuracy over existing methods.

Findings

Improved parameter estimates within physically feasible ranges

Validated approach with experimental phantom data

Enhanced robustness of QUS parameter estimation

Abstract

Regularized estimation of quantitative ultrasound (QUS) parameters, such as attenuation and backscatter coefficients, has gained research interest. Recently, the alternating direction method of multipliers (ADMM) has been applied successfully to estimate these parameters, by utilizing L2 and L1 norms for attenuation and backscatter coefficient regularization, respectively. While this method improves upon previous approaches, it does not fully leverage the prior knowledge of minimum physically feasible parameter values, sometimes yielding values outside the realistic range. This work addresses this limitation by incorporating minimum QUS parameter values as constraints to enhance ADMM estimation. The proposed method is validated using experimental phantom data.