=== Piecewise linear area function ===
position_cm  area_cm2  perimeter_cm  articulator
0  2.29712  5.4334  N
0.140098  1.98871  5.08059  N
0.291949  1.77179  4.79924  N
0.443972  1.62107  4.60229  N
0.596256  1.43356  4.34575  N
0.748885  1.25367  4.06911  N
0.901946  1.13102  3.87914  N
1.05543  0.977515  3.63351  N
1.20682  0.832846  3.34676  N
1.35502  0.746515  3.20662  N
1.50034  0.631175  2.93898  N
1.64326  0.556063  2.78785  N
1.78466  0.450156  2.52047  N
1.92514  0.354472  2.24315  N
2.06474  0.365766  2.4041  N
2.20351  0.813863  4.57716  N
2.34149  1.57703  6.42991  N
2.47862  2.3476  7.22432  N
2.61474  3.02848  7.53425  N
2.74993  3.49194  7.69505  N
2.88427  3.34159  7.61696  N
3.01976  3.10904  7.5051  N
3.15863  3.12751  7.91336  N
3.30218  3.81586  9.3454  N
3.45157  3.76672  9.33903  N
3.60481  3.5758  9.21836  N
3.75771  3.27702  8.96009  N
3.90963  3.03756  8.83728  N
4.0569  2.9223  8.82052  N
4.20087  2.79783  8.83868  N
4.34502  2.63592  8.70456  N
4.48944  2.49322  8.64397  N
4.63419  2.429  8.52738  N
4.77928  2.43644  8.25612  N
4.92469  2.57968  8.31273  N
5.07033  3.17042  7.39173  T
5.21599  3.20194  7.39081  T
5.3616  3.28034  7.40521  T
5.50681  3.37894  7.50624  T
5.65148  3.45477  7.43587  T
5.79614  3.53636  7.4819  T
5.94447  3.50129  7.46178  T
6.09674  3.39092  7.4264  T
6.24941  3.20196  7.23964  T
6.40227  2.98671  7.04209  T
6.55532  2.7596  6.82676  T
6.70849  2.53818  6.62315  T
6.86167  2.31328  6.33298  T
7.01473  2.14598  6.2376  T
7.16761  2.00879  6.00762  T
7.32034  1.88335  5.85912  T
7.47294  1.82582  5.83399  T
7.6253  1.7942  5.82457  T
7.77598  1.78142  5.89637  T
7.92067  1.83451  6.10151  T
8.06036  1.8481  7.15732  T
8.19729  1.73546  7.44601  T
8.33489  1.78185  7.99135  T
8.47324  1.77685  7.84681  T
8.61217  1.36872  7.00289  T
8.75178  0.947341  5.25818  T
8.89217  0.680537  3.96891  T
9.03364  0.636477  3.90761  T
9.17669  0.656179  3.91675  T
9.32178  0.683866  4.04322  T
9.46912  0.612466  4.00381  T
9.61802  0.522133  3.63059  T
9.76699  0.483323  3.63664  T
9.91568  0.38134  2.96933  T
10.0642  0.345552  2.93116  T
10.2138  0.330259  2.92072  T
10.3642  0.299724  2.79965  T
10.5151  0.305902  2.80584  T
10.6663  0.315844  2.81886  T
10.8177  0.359608  3.04915  T
10.9694  0.456368  3.61832  T
11.1214  0.503639  3.73781  T
11.2737  0.595451  3.99014  T
11.4263  0.685598  4.14419  T
11.5791  0.829346  4.61457  T
11.7322  1.0056  4.92443  T
11.8854  1.32137  5.5273  T
12.0387  1.67826  6.07858  T
12.192  2.06236  6.63832  T
12.3454  2.46378  7.11142  T
12.4986  2.85167  7.3883  T
12.6518  3.19534  7.72442  T
12.8046  3.46628  8.02845  T
12.9569  3.70611  8.15109  T
13.1088  3.94984  8.28219  T
13.2604  4.18924  8.428  T
13.4118  4.39957  8.55228  T
13.5628  4.54137  8.78124  T
13.7132  4.645  8.83951  T
13.8629  4.72155  8.73307  T
14.0115  4.74504  8.72736  T
14.1579  4.63605  8.51292  T
14.3021  4.57011  8.47756  T
14.4452  4.53412  8.45967  T
14.5881  4.46023  8.28724  T
14.7294  4.40364  8.27606  T
14.8678  4.7455  11.5853  T
15.0047  4.70854  11.2607  T
15.1404  4.65753  11.1035  T
15.2736  4.77029  10.7913  T
15.403  4.84289  10.2444  T
15.5304  4.833  10.1514  T
15.6568  4.84488  9.99141  T
15.7774  5.50323  10.0701  N
15.8858  7.0144  10.4552  N
15.9869  5.3889  9.03154  I
16.0909  5.13006  9.38114  I
16.2027  4.52802  8.81434  I
16.3181  3.65321  8.21396  I
16.4271  2.95273  7.35011  I
16.5307  2.63945  7.05161  I
16.6332  2.4919  7.90193  I
16.7358  2.14948  7.24446  L
16.8389  1.66407  6.92678  L
16.9438  1.70391  5.45124  L
17.0545  1.11324  4.64398  L
17.1722  0.79951  4.12263  L
17.2985  0.60585  3.64793  L
17.4339  0.550932  3.36313  L
17.573  0.503612  3.17959  L
17.7136  0.445994  2.98914  L
17.855  0.450937  3.33287  L
18.001  0.491159  3.58283  L
18.1525  0.507123  3.57276  L

=== Piecewise constant (stepwise changing) area function ===
position_cm  area_cm2  perimeter_cm  articulator
0  1.51643  4.45913  N
0.528955  1.51643  4.45913  N
0.528955  0.975147  3.62882  N
1.05791  0.975147  3.62882  N
1.05791  0.585702  2.84748  N
1.58686  0.585702  2.84748  N
1.58686  0.354472  2.24315  N
2.11582  0.354472  2.24315  N
2.11582  0.530697  3.20393  N
2.64477  0.530697  3.20393  N
2.64477  3.10904  7.5051  N
3.17373  3.10904  7.5051  N
3.17373  3.19989  8.06396  N
3.70268  3.19989  8.06396  N
3.70268  2.76327  8.81005  N
4.23164  2.76327  8.81005  N
4.23164  2.429  8.29106  N
4.76059  2.429  8.29106  N
4.76059  2.43549  7.39081  N
5.28955  2.43549  7.39081  N
5.28955  3.24155  7.39809  T
5.8185  3.24155  7.39809  T
5.8185  3.0639  7.11293  T
6.34746  3.0639  7.11293  T
6.34746  2.29717  6.3238  T
6.87641  2.29717  6.3238  T
6.87641  1.8513  5.84512  T
7.40537  1.8513  5.84512  T
7.40537  1.78142  5.82457  T
7.93432  1.78142  5.82457  T
7.93432  1.73546  6.20467  T
8.46327  1.73546  6.20467  T
8.46327  0.636477  3.90761  T
9.05641  0.636477  3.90761  T
9.05641  0.520219  3.63059  T
9.62537  0.520219  3.63059  T
9.62537  0.334612  2.92369  T
10.1712  0.334612  2.92369  T
10.1712  0.299724  2.79965  T
10.6949  0.299724  2.79965  T
10.6949  0.324123  2.86242  T
11.1977  0.324123  2.86242  T
11.1977  0.549592  3.86411  T
11.6804  0.549592  3.86411  T
11.6804  0.945988  4.81962  T
12.1442  0.945988  4.81962  T
12.1442  1.94263  6.46384  T
12.5902  1.94263  6.46384  T
12.5902  3.05707  7.58918  T
13.0193  3.05707  7.58918  T
13.0193  3.80622  8.20493  T
13.4327  3.80622  8.20493  T
13.4327  4.41912  8.58385  T
13.8313  4.41912  8.58385  T
13.8313  4.60935  8.4986  T
14.2163  4.60935  8.4986  T
14.2163  4.46003  8.2872  T
14.5886  4.46003  8.2872  T
14.5886  4.40364  8.27606  T
14.9494  4.40364  8.27606  T
14.9494  4.65753  10.6811  T
15.2997  4.65753  10.6811  T
15.2997  4.78491  10.012  T
15.6405  4.78491  10.012  T
15.6405  4.84334  9.22861  T
15.9729  4.84334  9.22861  T
15.9729  3.80619  8.31895  I
16.2979  3.80619  8.31895  I
16.2979  2.51573  7.05161  I
16.6167  2.51573  7.05161  I
16.6167  1.66407  5.64325  L
16.9301  1.66407  5.64325  L
16.9301  0.696379  3.86983  L
17.2394  0.696379  3.86983  L
17.2394  0.512962  3.21586  L
17.5455  0.512962  3.21586  L
17.5455  0.445994  2.98914  L
17.8495  0.445994  2.98914  L
17.8495  0.450746  3.31963  L
18.1525  0.450746  3.31963  L

