=== Piecewise linear area function ===
position_cm  area_cm2  perimeter_cm  articulator
0  2.29712  5.4334  N
0.124625  2.0121  5.11182  N
0.260223  1.86061  4.91628  N
0.395936  1.67492  4.67727  N
0.531822  1.49318  4.4214  N
0.667938  1.37135  4.25116  N
0.80434  1.21236  4.01116  N
0.941085  1.10062  3.82969  N
1.07792  0.963246  3.61102  N
1.21354  0.829473  3.33986  N
1.34602  0.752494  3.21879  N
1.47561  0.643924  2.96253  N
1.60348  0.576887  2.83673  N
1.7305  0.477263  2.57261  N
1.85673  0.413785  2.43626  N
1.98219  0.339428  2.2032  N
2.10691  0.453478  3.00123  N
2.23093  1.03575  5.2543  N
2.35433  1.74954  6.67637  N
2.47751  2.43455  7.26984  N
2.60074  3.02916  7.55364  N
2.72393  3.49648  7.73848  N
2.84707  3.68789  7.79047  N
2.97026  3.48007  7.68855  N
3.09502  4.20712  9.63193  N
3.22287  4.04908  9.51941  N
3.35396  3.75852  9.41788  N
3.48786  3.36181  9.18036  N
3.62303  2.91971  8.86341  N
3.75311  2.58597  8.64558  N
3.87855  2.2385  8.44428  N
4.00354  1.89613  8.06765  N
4.12849  1.6164  7.79452  N
4.25347  1.42029  7.35884  N
4.379  1.33159  7.20424  N
4.50519  1.27914  6.98564  N
4.63204  1.66348  5.94669  T
4.75968  1.61513  5.82233  T
4.88824  1.57823  5.7799  T
5.01783  1.56097  5.7466  T
5.14795  1.57307  5.65045  T
5.27829  1.5949  5.6457  T
5.40885  1.63623  5.75292  T
5.54064  1.67127  5.77685  T
5.6757  1.70859  5.79277  T
5.81261  1.78602  6.02083  T
5.94958  1.86732  6.25933  T
6.08658  1.94609  6.39421  T
6.2236  2.03154  6.45414  T
6.36064  2.14143  6.69398  T
6.49768  2.2378  6.74235  T
6.63474  2.3603  6.972  T
6.77178  2.46578  7.01934  T
6.90882  2.58576  7.16223  T
7.04491  2.71279  7.29612  T
7.17843  2.84419  7.36575  T
7.30794  3.01749  7.61299  T
7.43403  3.18689  7.69635  T
7.55861  3.32789  8.99873  T
7.6834  3.34641  9.1753  T
7.80846  3.44423  9.34968  T
7.93355  3.30885  9.06716  T
8.0589  2.81284  7.98691  T
8.18466  2.49244  7.19971  T
8.31118  2.27596  6.61668  T
8.43893  2.28745  6.50799  T
8.56829  2.38951  6.55416  T
8.69955  2.39614  6.54681  T
8.8331  2.32398  6.42751  T
8.96718  2.26801  6.31709  T
9.10119  2.2349  6.29194  T
9.23513  2.18087  6.26614  T
9.36884  2.15443  6.25416  T
9.5027  2.16917  6.26463  T
9.6373  2.16246  6.26288  T
9.77243  2.1659  6.27648  T
9.90765  2.25763  6.49249  T
10.0431  2.3734  6.80601  T
10.1788  2.44939  6.84357  T
10.3147  2.54047  6.78899  T
10.4508  2.63376  6.91367  T
10.5871  2.73862  7.05  T
10.7236  2.86908  7.20291  T
10.8602  3.00493  7.3352  T
10.9969  3.21784  7.62278  T
11.1336  3.5147  7.94651  T
11.2705  3.81117  8.236  T
11.4074  4.11537  8.55259  T
11.5443  4.40245  8.68759  T
11.6811  4.68146  8.81811  T
11.818  4.93728  8.93835  T
11.9546  5.07606  9.00834  T
12.091  5.20504  9.07747  T
12.2271  5.32782  9.14884  T
12.3631  5.44442  9.22172  T
12.499  5.53316  9.14576  T
12.6347  5.63737  9.22058  T
12.7698  5.63153  9.21928  T
12.9043  5.56836  9.048  T
13.0383  5.54709  9.05119  T
13.1721  5.48837  8.89072  T
13.3058  5.35935  8.81236  T
13.4394  5.10879  8.52983  T
13.573  4.90364  8.42008  T
13.7067  4.66359  8.16554  T
13.8404  4.52027  8.086  T
13.9737  4.52724  9.8861  T
14.1068  4.16704  7.7908  T
14.239  3.92576  7.5837  T
14.3709  3.81222  8.73896  T
14.5028  3.83119  9.50561  T
14.6337  3.72845  9.11625  T
14.7636  3.42335  8.76724  T
14.89  3.1972  8.25488  T
15.0084  3.039  7.95884  T
15.12  2.97763  7.5614  T
15.2245  3.06155  7.59843  T
15.3181  3.23524  7.39176  N
15.4034  2.46726  6.58919  I
15.4873  2.37453  7.38171  I
15.5725  2.02368  7.36337  I
15.6606  2.01839  8.65735  I
15.7515  2.14173  7.76263  L
15.8425  2.05021  7.85434  L
15.934  2.24064  9.44111  L
16.0296  3.41886  8.69028  L
16.1324  3.28118  8.2767  L
16.2423  3.13692  8.21875  L
16.3542  3.12048  8.22613  L

=== Piecewise constant (stepwise changing) area function ===
position_cm  area_cm2  perimeter_cm  articulator
0  1.54415  4.49317  N
0.49371  1.54415  4.49317  N
0.49371  1.05411  3.75565  N
0.98742  1.05411  3.75565  N
0.98742  0.641032  2.9571  N
1.48113  0.641032  2.9571  N
1.48113  0.343787  2.21687  N
1.97484  0.343787  2.21687  N
1.97484  0.339428  2.2032  N
2.46855  0.339428  2.2032  N
2.46855  2.38471  7.22666  N
2.96226  2.38471  7.22666  N
2.96226  3.4563  7.68855  N
3.45597  3.4563  7.68855  N
3.45597  2.04366  8.22994  N
3.94968  2.04366  8.22994  N
3.94968  1.30483  7.0927  N
4.44339  1.30483  7.0927  N
4.44339  1.27914  5.76735  N
4.9371  1.27914  5.76735  N
4.9371  1.56097  5.6457  T
5.43081  1.56097  5.6457  T
5.43081  1.64207  5.75691  T
5.92452  1.64207  5.75691  T
5.92452  1.85244  6.21568  T
6.41823  1.85244  6.21568  T
6.41823  2.18193  6.71431  T
6.91194  2.18193  6.71431  T
6.91194  2.58867  7.16531  T
7.40565  2.58867  7.16531  T
7.40565  3.14875  7.67758  T
7.89936  3.14875  7.67758  T
7.89936  2.27596  6.5267  T
8.41693  2.27596  6.5267  T
8.41693  2.28547  6.36138  T
8.9134  2.28547  6.36138  T
8.9134  2.15443  6.25416  T
9.38969  2.15443  6.25416  T
9.38969  2.15673  6.25579  T
9.84672  2.15673  6.25579  T
9.84672  2.2163  6.39516  T
10.2854  2.2163  6.39516  T
10.2854  2.52084  6.78899  T
10.7066  2.52084  6.78899  T
10.7066  2.8529  7.18394  T
11.1114  2.8529  7.18394  T
11.1114  3.46639  7.89382  T
11.5005  3.46639  7.89382  T
11.5005  4.31063  8.64441  T
11.875  4.31063  8.64441  T
11.875  4.99514  8.96753  T
12.2357  4.99514  8.96753  T
12.2357  5.33514  9.14576  T
12.5835  5.33514  9.14576  T
12.5835  5.56595  9.048  T
12.9194  5.56595  9.048  T
12.9194  5.41862  8.84836  T
13.2444  5.41862  8.84836  T
13.2444  4.92484  8.43142  T
13.5592  4.92484  8.43142  T
13.5592  4.52027  8.086  T
13.8648  4.52027  8.086  T
13.8648  4.06582  7.70392  T
14.1622  4.06582  7.70392  T
14.1622  3.81222  7.5837  T
14.4523  3.81222  7.5837  T
14.4523  3.48828  8.84151  T
14.7359  3.48828  8.84151  T
14.7359  3.03592  7.9389  T
15.014  3.03592  7.9389  T
15.014  2.97763  7.4592  T
15.2876  2.97763  7.4592  T
15.2876  2.08558  6.58919  I
15.5575  2.08558  6.58919  I
15.5575  2.01839  7.36337  I
15.8246  2.01839  7.36337  I
15.8246  2.05021  7.83631  L
16.0899  2.05021  7.83631  L
16.0899  3.12048  8.21875  L
16.3542  3.12048  8.21875  L

