Spherical Harmonics: Difference between revisions

 
(One intermediate revision by the same user not shown)
Line 1: Line 1:
Spherical Harmonics are a set of orthonormal basis functions defined over a sphere.<br>
Spherical Harmonics are a set of orthonormal basis functions defined over a sphere.<br>
<math>f: (\phi, \theta) \rightarrow f(\phi, \theta) \in \mathbb{R}</math>
<math>f: (\phi, \theta) \mapsto f(\phi, \theta) \in \mathbb{R}</math>


==Background==
==Background==
Line 74: Line 74:
</math>
</math>
}}
}}
==Operations==
===Addition===
Just add the coefficients
===Multiplication===
===Rotation===


==Visualizations==
==Visualizations==