norm edit page

Calculate the L2-norm also known as texture index of a SO3FunHarmonic, by using Parsevalls equality for the integral

\[ t = \sqrt{\frac1{8\pi^2}\int_{SO(3)} ^2 dR}\],

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