tfg.math.spherical_harmonics.evaluate_legendre_polynomial

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Evaluates the Legendre polynomial of degree l and order m at x.

Note:

This function is implementing the algorithm described in p. 10 of Spherical Harmonic Lighting: The Gritty Details.

Note:

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

degree_l An integer tensor of shape [A1, ..., An] corresponding to the degree of the associated Legendre polynomial. Note that degree_l must be non-negative.
order_m An integer tensor of shape [A1, ..., An] corresponding to the order of the associated Legendre polynomial. Note that order_m must satisfy 0 <= order_m <= l.
x A tensor of shape [A1, ..., An] with values in [-1,1].

A tensor of shape [A1, ..., An] containing the evaluation of the legendre polynomial.