scipy: Interpolating trajectory

Question

I have a trajectory formed by a sequence of (x,y) pairs. I would like to interpolate points on this trajectory using splines.

How do I do this? Using scip

Answer 1

Using splprep you can interpolate over curves of any geometry.

from scipy import interpolate
tck,u=interpolate.splprep([x,y],s=0.0)
x_i,y_i= interpolate.splev(np.linspace(0,1,100),tck)

Which produces a plot like the one given, but only using the x and y points and not the alpha and r paramters.

Sorry about my original answer, I misread the question.