Accelerated Regularized Estimation of MR Coil Sensitivities Using Augmented Lagrangian Methods: Supplementary Material

This document contains additional information related to the algorithms presented in [1]. In particular, Section S-I presents a second ADMM algorithm for sensitivity profile estimation. Section S-II presents an alternate formulation that leads to additional AL estimation algorithms with similar performance. Section S-III illustrates the improved SENSE reconstruction quality resulting from using regularized sensitivity estimates over traditional ratio based estimates. Section S-IV demonstrates why, when performing masked sensitivity estimation on breast data, a convex hull of the object voxels should be used for the estimation mask. Section S-V illustrates the importance of using a finite differencing matrix for the case of non-periodic boundary conditions in our cost function (1).