Fitting a closed curve to a set of points

Question

I have a set of points pts which form a loop and it looks like this:

Answer 1

Using the ROOT Framework and the pyroot interface I was able to generate the following image

With the following code(I converted your data to a CSV called data.csv so reading it into ROOT would be easier and gave the columns titles of xp,yp)

from ROOT import TTree, TGraph, TCanvas, TH2F

c1 = TCanvas( 'c1', 'Drawing Example', 200, 10, 700, 500 )
t=TTree('TP','Data Points')
t.ReadFile('./data.csv')
t.SetMarkerStyle(8)
t.Draw("yp:xp","","ACP")
c1.Print('pydraw.png')