We implement the column-by-column way to the model with structural changes by
collocation method.
We additionally implement the global interpolations afterwards as yesterdayfs.
we smooth out the points on the grid by one of the following ways:
0:linear interpolation
1:polynomial
2:LOESS
3:LOWESS
4:Kernel regression
5:Smoothing natural spline
6:NURBS
7:Bezier Curve
by some parameters. We also implement local interpolations.