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