=== Piecewise linear area function ===
position_cm  area_cm2  perimeter_cm  articulator
0  2.29712  5.4334  N
0.130834  2.00259  5.09905  N
0.272946  1.79284  4.82482  N
0.415194  1.6534  4.64612  N
0.557647  1.46909  4.38986  N
0.700372  1.34075  4.20736  N
0.843436  1.17981  3.96674  N
0.986906  1.02508  3.69667  N
1.13026  0.923925  3.53311  N
1.27042  0.795644  3.28298  N
1.40711  0.714256  3.13299  N
1.5412  0.608387  2.89905  N
1.67389  0.507183  2.6441  N
1.80563  0.44046  2.49978  N
1.93651  0.348376  2.22364  N
2.0666  0.367838  2.40697  N
2.19591  0.813641  4.57307  N
2.3245  1.54011  6.40076  N
2.45257  2.25524  7.15203  N
2.58062  2.89023  7.48868  N
2.70859  3.396  7.69811  N
2.83644  3.63366  7.76201  N
2.96447  3.41452  7.65751  N
3.09507  4.06916  9.68935  N
3.22921  4.02181  9.49278  N
3.36669  3.73406  9.41164  N
3.50743  3.37415  9.21253  N
3.64787  2.92832  8.87852  N
3.78248  2.56246  8.6255  N
3.91458  2.26218  8.48337  N
4.04668  1.89036  8.09486  N
4.1788  1.64817  7.86756  N
4.3111  1.46952  7.52904  N
4.44403  1.40163  7.28975  N
4.57758  1.33612  7.19816  N
4.71178  1.63366  6.09989  T
4.8467  1.59082  6.06078  T
4.98234  1.53685  5.91674  T
5.11858  1.50507  5.88329  T
5.25482  1.51042  5.87049  T
5.39098  1.51633  5.85601  T
5.52859  1.50192  5.82372  T
5.67037  1.44174  5.61947  T
5.81391  1.39994  5.58563  T
5.95744  1.29752  5.44888  T
6.10095  1.19612  5.30655  T
6.24443  1.09936  5.1827  T
6.38785  1.01249  5.14363  T
6.53118  0.926408  5.00167  T
6.67438  0.884638  4.9797  T
6.81746  0.843671  4.96163  T
6.96039  0.839105  4.95334  T
7.10327  0.859654  4.96512  T
7.24557  0.881868  4.97167  T
7.3839  0.9751  5.20515  T
7.51798  1.0666  5.24284  T
7.64856  1.16787  5.29743  T
7.7772  1.21232  6.7472  T
7.90585  1.25996  7.24187  T
8.03523  1.38478  7.69427  T
8.16523  1.30551  7.46474  T
8.29573  1.01226  6.55909  T
8.4271  0.805189  5.67458  T
8.55964  0.616575  4.0418  T
8.69376  0.642312  4.10721  T
8.82985  0.76953  4.49844  T
8.96841  0.834865  4.53124  T
9.1095  0.841783  4.41586  T
9.25068  0.855358  4.4228  T
9.39148  0.902778  4.64473  T
9.53191  0.942613  4.67169  T
9.672  0.99036  4.7788  T
9.81226  1.09276  5.0127  T
9.95332  1.2007  5.17526  T
10.0946  1.29904  5.30537  T
10.2359  1.489  5.75859  T
10.3773  1.744  6.44798  T
10.519  2.00603  6.95932  T
10.661  2.28183  7.252  T
10.8033  2.57433  7.75832  T
10.946  2.86457  8.05167  T
11.0888  3.24398  8.57897  T
11.2319  3.63483  9.01271  T
11.3752  4.12597  9.46279  T
11.5186  4.65007  9.51259  T
11.6622  5.18437  9.74807  T
11.8058  5.64261  9.79409  T
11.9494  6.13374  10.0128  T
12.093  6.52964  10.0745  T
12.2366  7.09709  12.5035  T
12.3802  7.51583  13.0523  T
12.5237  7.78297  13.201  T
12.6671  8.00713  13.4183  T
12.8105  8.29083  13.5283  T
12.9538  8.50574  13.7278  T
13.0968  8.62928  13.7552  T
13.2392  8.6657  13.7007  T
13.381  8.86089  13.6249  T
13.5224  8.71307  13.683  T
13.663  8.46939  13.543  T
13.8018  8.23563  13.4592  T
13.938  7.98112  13.1219  T
14.0723  7.8946  12.9897  T
14.2066  7.79156  12.8072  T
14.3412  7.238  12.4292  T
14.4755  6.80439  12.0617  T
14.6083  6.40278  11.4951  T
14.7389  6.16922  10.9611  T
14.8682  5.8401  10.7182  T
14.9962  5.28276  10.1717  T
15.1193  4.85369  9.66821  T
15.2307  4.81171  9.23595  T
15.331  5.57854  9.28628  N
15.4268  4.30523  8.04758  I
15.524  4.02898  8.75404  I
15.623  3.45238  7.86917  I
15.7235  2.7842  7.26012  I
15.8238  2.39467  6.90867  I
15.9238  2.23745  7.77436  I
16.0238  2.05318  6.92375  L
16.124  1.65208  7.10245  L
16.2263  1.98813  5.67021  L
16.3336  1.47172  5.05064  L
16.4457  1.20818  4.96185  L
16.5602  1.06139  4.8659  L
16.6816  1.04427  5.05193  L
16.8107  1.03623  5.08712  L
16.9432  1.1027  5.27882  L
17.0769  1.09618  5.26804  L

=== Piecewise constant (stepwise changing) area function ===
position_cm  area_cm2  perimeter_cm  articulator
0  1.53524  4.48182  N
0.506525  1.53524  4.48182  N
0.506525  1.00663  3.66684  N
1.01305  1.00663  3.66684  N
1.01305  0.625462  2.93678  N
1.51958  0.625462  2.93678  N
1.51958  0.348376  2.22364  N
2.0261  0.348376  2.22364  N
2.0261  0.36178  2.3499  N
2.53263  0.36178  2.3499  N
2.53263  2.65224  7.36251  N
3.03915  2.65224  7.36251  N
3.03915  3.25275  8.81932  N
3.54568  3.25275  8.81932  N
3.54568  1.88024  8.08536  N
4.0522  1.88024  8.08536  N
4.0522  1.34537  7.21109  N
4.55873  1.34537  7.21109  N
4.55873  1.33612  5.89638  N
5.06525  1.33612  5.89638  N
5.06525  1.48359  5.7615  T
5.57178  1.48359  5.7615  T
5.57178  1.21212  5.32901  T
6.0783  1.21212  5.32901  T
6.0783  0.910759  4.99344  T
6.58483  0.910759  4.99344  T
6.58483  0.839105  4.95334  T
7.09135  0.839105  4.95334  T
7.09135  0.85794  4.96414  T
7.59788  0.85794  4.96414  T
7.59788  1.12856  5.27624  T
8.1044  1.12856  5.27624  T
8.1044  0.616575  4.0418  T
8.65366  0.616575  4.0418  T
8.65366  0.634617  4.08765  T
9.18053  0.634617  4.08765  T
9.18053  0.848612  4.41935  T
9.68598  0.848612  4.41935  T
9.68598  1.00056  4.8021  T
10.171  1.00056  4.8021  T
10.171  1.4017  5.55032  T
10.6365  1.4017  5.55032  T
10.6365  2.23429  7.20155  T
11.0836  2.23429  7.20155  T
11.0836  3.22996  8.55949  T
11.5131  3.22996  8.55949  T
11.5131  4.62981  9.51066  T
11.926  4.62981  9.51066  T
11.926  6.05394  9.97722  T
12.3234  6.05394  9.97722  T
12.3234  7.3503  12.8354  T
12.7062  7.3503  12.8354  T
12.7062  8.08448  13.4483  T
13.0753  8.08448  13.4483  T
13.0753  8.61073  13.6249  T
13.4318  8.61073  13.6249  T
13.4318  8.27802  13.4744  T
13.7766  8.27802  13.4744  T
13.7766  7.86512  12.9375  T
14.1107  7.86512  12.9375  T
14.1107  6.93484  12.1723  T
14.4351  6.93484  12.1723  T
14.4351  6.13914  10.9389  T
14.7507  6.13914  10.9389  T
14.7507  5.06556  9.91683  T
15.0585  5.06556  9.91683  T
15.0585  4.81171  8.91721  T
15.3595  4.81171  8.91721  T
15.3595  3.2419  7.67732  I
15.6547  3.2419  7.67732  I
15.6547  2.19844  6.90867  I
15.945  2.19844  6.90867  I
15.945  1.65208  5.64085  L
16.2313  1.65208  5.64085  L
16.2313  1.11955  4.90392  L
16.5148  1.11955  4.90392  L
16.5148  1.03713  4.8659  L
16.7963  1.03713  4.8659  L
16.7963  1.03623  5.08319  L
17.0769  1.03623  5.08319  L

