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deepmr.rosette

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deepmr.rosette#

deepmr.rosette(shape, nviews=None, bending_factor=1.0)[source]#

Design a rosette trajectory.

The rosette petals are rotated by a pseudo golden angle with period 377 interelaves. Rotations are performed both along view and contrast dimensions. Acquisition is assumed to traverse the contrast dimension first and then the view, i.e., all the contrasts are acquired before moving to the second view. If multiple echoes are specified, final contrast dimensions will have length ncontrasts * nechoes.

Parameters:

  • shape (Iterable[int]) – Matrix shape (in-plane, contrasts=1, echoes=1).

  • nviews (int, optional) – Number of spokes. The default is $\pi$ * shape[0] if shape[1] == 1, otherwise it is 1.

  • bending_factor (float, optional) – This is 0.0 for radial-like trajectory; increase for maximum coverage per shot. In real world, must account for hardware and safety limitations. The default is 1.0.

Returns:

head – Acquisition header corresponding to the generated sampling pattern.

Return type:

Header

Example

>>> import deepmr

We can create a Nyquist-sampled rosette trajectory for an in-plane matrix of (128, 128) pixels by:

>>> head = deepmr.rosette(128)

An undersampled trajectory can be generated by specifying the nviews argument:

>>> head = deepmr.rosette(128, nviews=64)

Petals bending can be modified via bending_factor:

>>> head = deepmr.rosette(128, bending_factor=1.0) # radial-like trajectory

Multiple contrasts with different sampling (e.g., for MR Fingerprinting) can be achieved by providing a tuple of ints as the shape argument:

>>> head = deepmr.rosette((128, 420))
>>> head.traj.shape
torch.Size([420, 1, 128, 2])

corresponding to 420 different contrasts, each sampled with a different single radial spoke of 128 points. Similarly, multiple echoes (with fixed sampling) can be specified as:

>>> head = deepmr.rosette((128, 1, 8)) # 8 echoes
>>> head.traj.shape
torch.Size([8, 402, 128, 2])

corresponding to a 8-echoes fully sampled k-spaces, e.g., for QSM and T2* mapping.

Notes

The returned head (deepmr.Header()) is a structure with the following fields:

  • shape (torch.Tensor):

    This is the expected image size of shape (nz, ny, nx).

  • t (torch.Tensor):

    This is the readout sampling time (0, t_read) in ms. with shape (nsamples,).

  • traj (torch.Tensor):

    This is the k-space trajectory normalized as (-0.5 * shape, 0.5 * shape) with shape (ncontrasts, nviews, nsamples, 2).

  • dcf (torch.Tensor):

    This is the k-space sampling density compensation factor with shape (ncontrasts, nviews, nsamples).

  • TE (torch.Tensor):

    This is the Echo Times array.

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