pyriemann.utils.geodesic.geodesic_euclid

pyriemann.utils.geodesic.geodesic_euclid(A, B, alpha=0.5)

Euclidean geodesic between matrices.

The matrix at position \(\alpha\) on the Euclidean geodesic between two matrices \(\mathbf{A}\) and \(\mathbf{B}\) is:

\[\mathbf{C} = (1-\alpha) \mathbf{A} + \alpha \mathbf{B}\]

\(\mathbf{C}\) is equal to \(\mathbf{A}\) if \(\alpha\) = 0, and \(\mathbf{B}\) if \(\alpha\) = 1.

Parameters:

Andarray, shape (…, n, m)

First matrices.

Bndarray, shape (…, n, m)

Second matrices.

alphafloat, default=0.5

The position on the geodesic.

Returns:

Cndarray, shape (…, n, m)

Matrices on the Euclidean geodesic.