Explanations# The NUFFT Operator The Non-Uniform Discrete Fourier Transform Application in MRI Extension of the Acquisition model Parallel Imaging Model Off-resonance correction model Subspace Projection Model Stacked NUFFT The Non Uniform Fast Fourier Transform in practice 1. Spreading 2. FFT 3. Deapodization Density Compensation Toeplitz NUFFT Computing the Toeplitz Kernel Autodifferentiation Autodifferentiation Gradient with respect to data Gradient with respect to the trajectory Gradient with respect to the field map Other Application References MRI-NUFFT Interfaces Convention The NUFFT Operator Extensions Adding a NUFFT Backend K-Space Trajectories The trajectory binary file specification