initialize_3D_golden_means_radial

initialize_3D_golden_means_radial#

mrinufft.trajectories.trajectory3D.initialize_3D_golden_means_radial(Nc, Ns, in_out=False)[source]#

Initialize 3D radial trajectories with golden means-based structure.

The radial shots are oriented using multidimensional golden means, which are derived from modified Fibonacci sequences by an eigenvalue approach, to provide a temporally stable acquisition with widely spread shots at all time.

This function reproduces the proposition from [Cha+09], with in addition the option to switch between center-out and in-out radial shots.

Parameters:

  • Nc (int) – Number of shots

  • Ns (int) – Number of samples per shot

  • in_out (bool, optional) – Whether the curves are going in-and-out or start from the center, by default False

Returns:

3D golden means radial trajectory

Return type:

array_like

References

[Cha+09]

Chan, Rachel W., Elizabeth A. Ramsay, Charles H. Cunningham, and Donald B. Plewes. “Temporal stability of adaptive 3D radial MRI using multidimensional golden means.” Magnetic Resonance in Medicine 61, no. 2 (2009): 354-363.