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An efficient auxiliary variable method for quantification of spin density, R2* decay and field inhomogeneity maps in magnetic resonance imaging
Quantification of spin density, $R_2^*$ decay and off-resonance frequency maps is very important in some applications of magnetic resonance imaging (MRI). To reconstruct these parameter maps, a time-varying model such as ...
Trust region methods for estimation of a complex exponential decay model in MRI with a single-shot or multi-shot trajectory (in review)
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 ...
On the Characterization and Reduction of Ill-Conditioning in Jointly Estimating Proton Density, T2* Decay and the Field Map
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 ...