tfg.math.spherical_harmonics.integration_product

Computes the integral of harmonics1.harmonics2 over the sphere.

tfg.math.spherical_harmonics.integration_product(
    harmonics1: TensorLike,
    harmonics2: TensorLike,
    keepdims: bool = True,
    name: str = 'spherical_harmonics_convolution'
) -> TensorLike

Note
In the following, A1 to An are optional batch dimensions.

Args
harmonics1	A tensor of shape [A1, ..., An, C], where the last dimension represents spherical harmonics coefficients.
harmonics2	A tensor of shape [A1, ..., An, C], where the last dimension represents spherical harmonics coefficients.
keepdims	If True, retains reduced dimensions with length 1.
name	A name for this op. Defaults to "spherical_harmonics_convolution".

Returns
A tensor of shape [A1, ..., An] containing scalar values resulting from integrating the product of the spherical harmonics harmonics1 and harmonics2.

Raises
ValueError	if the last dimension of harmonics1 is different from the last dimension of harmonics2.