pyriemann.utils.geodesic.geodesic_logeuclid¶
- pyriemann.utils.geodesic.geodesic_logeuclid(A, B, alpha=0.5)¶
Log-Euclidean geodesic between SPD/HPD matrices.
The matrix at the position alpha on the Log-Euclidean geodesic between two SPD/HPD matrices A and B is:
\[\mathbf{C} = \exp \left( (1-\alpha) \log(\mathbf{A}) + \alpha \log(\mathbf{B}) \right)\]C is equal to A if alpha = 0 and B if alpha = 1.
- Parameters
- Andarray, shape (…, n, n)
First SPD/HPD matrices.
- Bndarray, shape (…, n, n)
Second SPD/HPD matrices.
- alphafloat, default=0.5
The position on the geodesic.
- Returns
- Cndarray, shape (…, n, n)
SPD/HPD matrices on the Log-Euclidean geodesic.