Table 1.

A POCS algorithm for SPIRiT from arbitrary sampling on a Cartesian grid.

	POCS SPIRiT CARTESIAN RECONSTRUCTION
INPUTS:
	y - k-space measurements from all coils
	D - operator selecting acquired k-space
	Dc - operator selecting non-acquired k-space
	G - SPIRiT operator matrix obtained from calibration
	errToll - stopping tolerance
OUTPUTS:
	xk - reconstructed k-space for all coils
ALGORITHM:
	x0 = DT y; k = 0
	do {
	k = k+1
	xk = Gxk–1 % Calibration consistency projection
	$x_k=D_c^T{D}_c{x}_k+D^{T}y\%$Dcxk + DT y % Data acquisition consistency projection
	e = ∥xk - xk–1∥ % Error stopping criteria
	xk–1=xk
	}while e > errToll