mrpro.data.traj_calculators.KTrajectoryRpe

class mrpro.data.traj_calculators.KTrajectoryRpe(angle: float, shift_between_rpe_lines: tuple | Tensor = (0, 0.5, 0.25, 0.75))[source]

Bases: KTrajectoryCalculator

Radial phase encoding trajectory.

Frequency encoding along kx is carried out in a standard Cartesian way. The phase encoding points along ky and kz are positioned along radial lines [BOU2009] [KOL2014].

References

[BOU2009]

Boubertakh R, Schaeffter T (2009) Whole-heart imaging using undersampled radial phase encoding (RPE) and iterative sensitivity encoding (SENSE) reconstruction. MRM 62(5) https://doi.org/10.1002/mrm.22102

[KOL2014]

Kolbitsch C, Schaeffter T (2014) A 3D MR-acquisition scheme for nonrigid bulk motion correction in simultaneous PET-MR. Medical Physics 41(8) https://doi.org/10.1118/1.4890095

__init__(angle: float, shift_between_rpe_lines: tuple | Tensor = (0, 0.5, 0.25, 0.75)) None[source]

Initialize KTrajectoryRpe.

Parameters:
  • angle – angle in rad between two radial phase encoding lines

  • shift_between_rpe_lines – shift between radial phase encoding lines along the radial direction. See _apply_shifts_between_rpe_lines() for more details