Calculate the L2-norm also known as texture index of a SO3Fun, by using
\[ t = \sqrt{\frac1{8\pi^2}\int_{SO(3)} |f( R ) |^2 dR},\]
where \(vol(SO(3)) = \int_{SO(3)} 1 dR = 8\pi^2\).
Syntax
t = norm(SO3F)Input
| SO3F | SO3Fun |
Output
| t | double |
Options
| resolution | choose mesh width by calculation of mean |