A Majorize-Minimize Framework for Rician and Non-Central Chi MR Images

. Author manuscript; available in PMC: 2016 Oct 1.

Published in final edited form as: IEEE Trans Med Imaging. 2015 Apr 28;34(10):2191–2202. doi: 10.1109/TMI.2015.2427157

Algorithm 2 MM Algorithm for NCC Data

1) Initialize

{\hat{x}}_{0}

2) for i = 0, 1, 2, … until convergence

Set

{\hat{x}}_{i + 1} = arg min_{x \in Ω} \frac{1}{2 σ^{2}} {‖ K (x) - {\tilde{y}}_{i} ‖}_{2}^{2} + R (x)