Origin

Type:Vector<float>
Range:[v_1, …, v_3]
Default:-/-
Appearance:optional

The Origin parameter \pvec{x}_0 \in \mathrm{R}^3 together with the Rotation parameter \TField{R} \in \mathrm{SO}(3) is used to apply an affine coordinate transformation to the defined cartesian grid. The cartesian grid is set up as defined and subsequently transformed. The fields are exported on the transformed grid.

The affine coordinate transformation is given by a rotation matrix \TField{R} \in \mathrm{SO}(3) and a translation vector \pvec{x}_0 \in \mathrm{R}^3. It is applied to the cartesian coordinates \pvec{x_{cart}} as follows:

\begin{eqnarray*} \pvec{x} & = & \TField{R} \pvec{x_{cart}}+ \pvec{x_0} \end{eqnarray*}