tfg.math.spherical_harmonics.evaluate_spherical_harmonics

Evaluates a point sample of a Spherical Harmonic basis function.

tfg.math.spherical_harmonics.evaluate_spherical_harmonics(
    degree_l, order_m, theta, phi, name=None
)

This function is implementating the algorithm and variable names described p. 12 of 'Spherical Harmonic Lighting: The Gritty Details.

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

Args
`degree_l`	An integer tensor of shape `[A1, ..., An, C]`, where the last dimension represents the band of the spherical harmonics. Note that `degree_l` must be non-negative.
`order_m`	An integer tensor of shape `[A1, ..., An, C]`, where the last dimension represents the index of the spherical harmonics in the band `degree_l`. Note that `order_m` must satisfy `0 <= order_m <= l`.
`theta`	A tensor of shape `[A1, ..., An, 1]`. This variable stores the polar angle of the sameple. Values of theta must be in [0, pi].
`phi`	A tensor of shape `[A1, ..., An, 1]`. This variable stores the azimuthal angle of the sameple. Values of phi must be in [0, 2pi].
`name`	A name for this op. Defaults to 'spherical_harmonics_evaluate_spherical_harmonics'.

Returns
A tensor of shape `[A1, ..., An, C]` containing the evaluation of each basis of the spherical harmonics.

Raises
`ValueError`	if the shape of `theta` or `phi` is not supported.
`InvalidArgumentError`	if at least an element of `l`, `m`, `theta` or `phi` is outside the expected range.

Args