Vision gaussian formula

I’m not sure this is the right place

def compute_gaussian_weight(pixel_coord, point_mean, inverse_covariance):
    diff = point_mean - pixel_coord
    exponent = -0.5 * diff @ inverse_covariance @ diff.T
    return torch.exp(exponent).item()

gausssian splatting uses gaussian formula. gaussain formula use inverse_covaraince. It means it does not use euclidean distance?(except for diff)