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On the Characterization and Reduction of Ill-Conditioning in Jointly Estimating Proton Density, T2* Decay and the Field Map 

Hu, Chenxi; Reeves, Stanley (2014-02-13)
We employ principal angles as a tool to demonstrate that the complex frequency is the main cause for ill-conditioning of model-based MRI reconstruction. We show that kernels of EPI and spiral trajectories have different ...

Trust region methods for estimation of a complex exponential decay model in MRI with a single-shot or multi-shot trajectory (in review) 

Hu, Chenxi; Reeves, Stanley (2015-05-05)
Joint estimation of spin density, R2* decay and off-resonance frequency maps is very useful in many magnetic resonance imaging (MRI) applications. The standard multi-echo approach can achieve high accuracy but requires a ...