navlie

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  • navlie.lib
    • navlie.lib.camera
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    • navlie.lib.states
      • navlie.lib.states.MatrixLieGroupState
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  • navlie.bspline
    • navlie.bspline.SE3Bspline
On this page
  • InvariantPointRelativePosition
    • InvariantPointRelativePosition.evaluate()
    • InvariantPointRelativePosition.jacobian()
    • InvariantPointRelativePosition.covariance()
    • InvariantPointRelativePosition.evaluate_with_jacobian()
    • InvariantPointRelativePosition.jacobian_fd()
    • InvariantPointRelativePosition.sqrt_information()

navlie.lib.models.InvariantPointRelativePosition¶

class navlie.lib.models.InvariantPointRelativePosition(y: ndarray, model: PointRelativePosition)¶

Bases: MeasurementModel

evaluate(x: MatrixLieGroupState) → ndarray¶

Computes the right-invariant innovation.

Parameters:

x (MatrixLieGroupState) – Evaluation point of the innovation.

Returns:

Residual.

Return type:

np.ndarray

jacobian(x: MatrixLieGroupState) → ndarray¶

Compute the Jacobian of the innovation directly.

Parameters:

x (MatrixLieGroupState) – Matrix Lie group state containing attitude and position

Returns:

Jacobian of the innovation w.r.t the state

Return type:

np.ndarray

covariance(x: MatrixLieGroupState) → ndarray¶

Returns the covariance \(\mathbf{R}\) associated with additive Gaussian noise.

evaluate_with_jacobian(x: State) → Tuple[ndarray, ndarray]¶

Evaluates the measurement model and simultaneously returns the Jacobian as its second output argument. This is useful to override for performance reasons when the model evaluation and Jacobian have a lot of common calculations, and it is more efficient to calculate them in the same function call.

jacobian_fd(x: State, step_size=1e-06)¶

Calculates the model jacobian with finite difference.

sqrt_information(x: State)¶

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