Applications

Standalone examples beyond the Course. Each names the lessons it assumes.

Parameter mapping

T1, T2 and M0 estimation, compared on one BrainWeb slice.

Application	Contents
Dictionary matching	MRF dictionary matching, low-rank and clustered
MP2RAGE lookup table	MP2RAGE T1 lookup table
T2 mapping by nonlinear least squares	Multi-echo spin echo T2 fit by nonlinear least squares
PERK: kernel ridge regression	PERK estimation of T1, T2 and M0, with uncertainty

Sequence design

Sequence parameters optimized by gradient descent through the simulation.

Application	Contents
Echo train design for sharpness	Fast spin echo refocusing flip angles for sharpness
Joint relaxometry protocol design	DESPOT flip angles by Cramér-Rao bound
RF pulse design by optimal control	B1-robust slice-selective RF pulse by optimal control

Model-based reconstruction

Parameter maps reconstructed from k-space with the signal model in the forward operator.

Application	Contents
Subspace reconstruction	Linear subspace reconstruction of radial multi-echo spin echo
Nonlinear inversion from k-space	T2 mapping by nonlinear model-based inversion

Synthetic data

Training data for a learned reconstruction.

Application	Contents
Synthetic fingerprint	Synthetic MRF training data