===== Transformation: Cubic space mapping =====
**Definition**: Space mapping (deformation) controlled by moving arbitrary points in space.
Inverse Mapping:\\
<m>x{prime} = x - sum{}{}{{delta x_i}*(1-v_i)^3/(1+v_i)}</m>\\
<m>y{prime} = y - sum{}{}{{delta y_i}*(1-v_i)^3/(1+v_i)}</m>\\
<m>z{prime} = z - sum{}{}{{delta z_i}*(1-v_i)^3/(1+v_i)}</m>\\
<m>v_i - ((x-x_{ai})^2+(y-y_{ai})^2+(z-z_{ai})^2)/b^2</m>\\
<m>(x,y,z)_{ai}</m> - x,y,z coordinnates of the ith moved point

**Call**: hfSpaceMapCubic(xt,original_points,delta_points,b);

**Parameters**:

xt - point coordinates array to be changed

original_points - Array of moved control points

delta_points - Array of values for the displacements of the moved points

b - parameter determining the incluence of the mapping 

**Test file**: [[http://hyperfun.org/spacemap.hf|spacemap.hf]]