Calculate the L2-norm also known as texture index of a SO3FunHarmonic, by using Parsevalls equality for the integral
\[ t = \sqrt{\frac1{8\pi^2}\int_{SO(3)} f®^2 dR}\],
with \(vol(SO(3)) = \int_{SO(3)} 1 dR = 8\pi^2\). The Wigner-D functions (one Wigner-coefficient is 1 and all others are 0) are L2-normalized.
Syntax
t = norm(SO3F)Input
| SO3F | SO3FunHarmonic |
Output
| t | double |
Options
| resolution | choose mesh width by calculation of mean |