aspcol.kernelinterpolation.kernel_directional_3d_combined

aspcol.kernelinterpolation.kernel_directional_3d_combined(points1, points2, wave_num, dirs, beta, kernel_weights)

Computes the summed directional kernel for a number of directions and weights.

The kernel is exemplified in (19) in [1]

Parameters:

  • points1 (ndarray of shape (num_pos1, 3)) – The first set of positions where the kernel is evaluated

  • points2 (ndarray of shape (num_pos2, 3)) – The second set of positions where the kernel is evaluated

  • dirs (ndarray of shape (num_dir, 3)) – The directions for which the kernel is calculated

  • beta (ndarray of shape (num_beta,)) – The strength of the directional weighting for each kernel

  • kernel_weights (ndarray of shape (num_dir, num_beta)) – The positive factor determining the relative weight of the particular kernel represented by gamma in [1]

Returns:

The directional kernel for each direction and beta value

Return type:

ndarray of shape (num_pos1, num_pos2)

References

[1] R. Horiuchi, S. Koyama, J. G. C. Ribeiro, N. Ueno, and H. Saruwatari, “Kernel learning for sound field estimation with l1 and l2 regularizations,” in 2021 IEEE Workshop on Applications of Signal Processing to Audio and Acoustics (WASPAA), Oct. 2021, pp. 261–265. doi: 10.1109/WASPAA52581.2021.9632731.