aspcol.distance.spatial_similarity

aspcol.distance.spatial_similarity(vec1, vec2)

Measures the spatial similarity between two vectors. Also known as the modal assurance criterion (MAC).

1 is identical, 0 is fully dissimilar

Implements |p^H q|^2 / (||p||^2 ||q||^2)

Parameters:

  • vec1 (np.ndarray of shape (..., N)) – First vector

  • vec2 (np.ndarray of shape (..., N)) – Second vector

Returns:

sim – The spatial similarity between the two vectors

Return type:

float or ndarray of shape (…)

References

  1. in M. Hahmann and E. Fernandez-Grande, “A convolutional plane wave model for sound field reconstruction.” Aug. 24, 2022.