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  • navlie.bspline
    • navlie.bspline.SE3Bspline
On this page
  • SE3Bspline
    • SE3Bspline.get_pose()
    • SE3Bspline.get_velocity()
    • SE3Bspline.get_acceleration()

navlie.bspline.SE3Bspline¶

class navlie.bspline.SE3Bspline(traj_points: List[SE3State], verbose: bool = False, max_dt: float = 0.1)¶

Bases: object

Creates a B-Spline on SE(3) from a list of SE3State poses.

Will interopolate the poses at uniform intervals to create the control points.

Parameters:
  • traj_points (List[SE3State]) – List of SE3State poses to use to generate the B-Spline

  • verbose (bool, optional) – Whether to print out debug information, by default False

  • max_dt (float, optional) – Maximum time interval between control points, by default 0.1

get_pose(stamp: float) → SE3State¶

Query the B-Spline to get the pose at a given timestamp.

Parameters:

stamp (float) – Query timestamp

Returns:

The pose at the given timestamp

Return type:

SE3State

get_velocity(stamp: float) → Tuple[ndarray, ndarray]¶

Gets the angular and translational velocity at a given timestamp.

The the angular velocity is resolved in the body frame, \(\mathbf{\omega}_b^{ba}\), whereas the translational velocity resolved in the inertial frame \(\mathbf{v}_a^{ba}\).

Parameters:

stamp (float) – Query timestamp

Returns:

Angular and translational velocity.

Return type:

Tuple[np.ndarray, np.ndarray]

get_acceleration(stamp: float) → Tuple[ndarray, ndarray]¶

Computes the angular and translational acceleration at a given timestamp.

Returns the angular acceleration resolved in the body frame, \(\mathbf{\alpha}_b^{ba}\), and the translational acceleration resolved in the global frame, \(\mathbf{a}_a^{ba}\).

Parameters:

stamp (float) – Query timestamp

Returns:

Angular and translational acceleration.

Return type:

Tuple[np.ndarray, np.ndarray]

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