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 |