Several decades after the fundamental discoveries which opened the fields of nuclear magnetic resonance (NMR) spectroscopy and magnetic resonance imaging (MRI), both the underlying instrumentation and respective applications advanced to a fairly mature state, rendering NMR spectroscopy a key method for structural analysis of biomolecules and MRI one of the most important modalities for diagnostic imaging. For MRI, recent developments indicate that further progress can rather be expected from novel mathematical reconstruction techniques than from further advances in technology. At the same time, the application of new mathematical approaches facilitates the recording of NMR spectra with higher spectral resolution and at less measurement time, especially for multi-dimensional NMR spectroscopy. As NMR and MRI share the same physical principles, there are many similarities between the mathematical tools used for their analysis.
The aim of this workshop is to foster interaction of researchers working in NMR, MRI, and regularization of ill-posed problems, starting with tutorials in each of these fields.
Topics include parallel imaging, undersampling strategies, compressed sensing, non-quadratic regularization, nonlinear inversion methods, diffusion-weighted imaging and fiber tractography, parametric as well as nonparametric reconstruction of spectra, and non-uniform sampling in the indirect time domain.