MRI_FFT.TwoD module¶

For use when a 2D output array is required.

It includes two classes:

“Direct2d”, for when all of the k-space data is available immediately, and
“OneDDecomp”, or one-dimensional decomposition, for when one dimensional k-space data can be processed during the scan.

class MRI_FFT.TwoD.Direct2d(shape)[source]¶

Calculates the inverse Fourier’s transform of a 3D numpy array directly

Parameters:	shape (1D array) – The shape of the 2D array that contains the k-space data to be transformed

ifft2D(array2D)[source]¶

Calculates the 2D inverse Fourier’s Transform of array2D

Parameters:	array2D (A complex or real 3D numpy array) – An array of k-space data
Returns:	The transformed array
Return type:	A complex64 2D numpy array

class MRI_FFT.TwoD.OneDDecomp(shape, inputAxis)[source]¶

Calculates the inverse Fourier’s transform of a 2D numpy array using 1D decomposition

This class should be used when 2D data becomes available during the 3D scan.

Parameters:	shape (2D array) – The shape of the 2D array that contains the k-space data to be transformed inputAxis (Integer: 0 or 1) – The direction in which to append the 1D arrays. For example, for inputAxis == 0, the arrays will be entered as follows [0, :], [1, :], etc

append1D(array1D)[source]¶

Calculates the 1D iFFT, then appends it to the 2D array.

When the last 2D array is entered, the 3D iFFT is calculated and returned.

Parameters:	array1D (A complex or real 1D numpy array) – An array of k-space data
Returns:	The transformed complete array
Return type:	A complex64 2D numpy array

Note

1D arrays must be entered in order