Compute nodes and weights for quadrature on SO(3).
Description
The following quadrature rules are implemented:
'ClenshawCurtis'combines the Gauss quadrature in 1st and 3rd Euler angle (alpha, gamma) with Clenshaw Curtis quadrature in 2nd Euler angle (beta)
'GaussLegendre'combines the Gauss quadrature in 1st and 3rd Euler angle (alpha, gamma) with Gauss Legendre quadrature in 2nd Euler angle (beta)
Syntax
SO3G = quadratureSO3rid(N, 'ClenshawCurtis')
[SO3G, W] = quadratureSO3rid(N,CS,SS,'ClenshawCurtis') % quadrature grid of type Clenshaw CurtisInput
| N | bandwidth |
| CS,SS | @symmetries |
Output
| SO3G | orientation grid |
| W | quadrature weights |
Options
| ClenshawCurtis | use Clenshaw Curtis quadrature nodes and weights (default) |
| GaussLegendre | use Gauss Legendre quadrature nodes and weights |