[Draft] Calculate first order derivatives of SH using recurrence relations #194
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added 2 commits
May 30, 2024 17:27
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This is the drafted implementation of calculating d f / d varphi and d f / d theta for spherical harmonics.
Some mathematical details:
https://www.ppsloan.org/publications/StupidSH36.pdf
https://jcgt.org/published/0002/02/06/
https://en.wikipedia.org/wiki/Associated_Legendre_polynomials#Reparameterization_in_terms_of_angles
I use recurrence relations below to compute derivatives of Associated Legendre polynomials.