initialize_3D_annular_shells

initialize_3D_annular_shells#

mrinufft.trajectories.trajectory3D.initialize_3D_annular_shells(Nc, Ns, nb_shells, shell_tilt=3.141592653589793, ring_tilt=1.5707963267948966)[source]#

Initialize 3D trajectories with annular shells.

An exclusive trajectory inspired from the work proposed in [HM11].

Parameters:

  • Nc (int) – Number of shots

  • Ns (int) – Number of samples per shot

  • nb_shells (int) – Number of concentric shells/spheres

  • shell_tilt (str, float, optional) – Angle between consecutive shells along z-axis, by default pi

  • ring_tilt (str, float, optional) – Angle controlling approximately the ring halves rotation, by default pi / 2

Returns:

3D annular shell trajectory

Return type:

array_like

References

[HM11]

Gerlach, Henryk, and Heiko von der Mosel. “On sphere-filling ropes.” The American Mathematical Monthly 118, no. 10 (2011): 863-876