Compute nodes and weights for quadrature on SO(3). Therefore the following quadrature rules are implemented yet:
'ClenshawCurtis' - combinate the Gauss quadrature in 1st and 3rd Euler angle
(alpha, gamma) with Clenshaw Curtis quadrature in 2nd
Euler angle (beta)
'GaussLegendre' - combinate 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 |