DelayRecon:

Prerequisite:

Need to install bart: https://mrirecon.github.io/bart/

Instruction:

Data: center-out radial dataset and projection reconstruction dataset are prepared in cfl format.

•	radial_data.cfl, radial_data.hdr, radial_traj.cfl, radial_traj.hdr,
•	PR_data.cfl, PR_data.hdr, PR_traj.cfl, PR_traj.hdr

Code:

1. Main files for projection reconstruction trajectory corrections, and radial trajectory correction (center-out spiral trajectory can use radial code directly ); they are only different in the way of how to get the central part:

•	delay_PR.m
•	delay_radial.m 

2. Auxiliairy files:

•	ksp_interp.m  (kspace interpolation)
•	partial_derivative.m  (take partial derivative)
•	lowrank_thresh.m (low-rank threshold)

Simulation: simulation for radial/spiral trajectory, manually create delays (and add noise) and use the algorithm to solve data:

•	im1.mat (image)
•	smaps.mat (sensitivity maps)
•	spiral.mat (spiral trajectory)

script:

delay_SNR.m