=== Piecewise linear area function ===
position_cm  area_cm2  perimeter_cm  articulator
0  2.29712  5.4334  N
0.125645  2.01926  5.11912  N
0.261144  1.8671  4.92291  N
0.396745  1.68077  4.68404  N
0.532499  1.49791  4.42634  N
0.668459  1.3754  4.2562  N
0.804674  1.21535  4.01375  N
0.941195  1.05963  3.74566  N
1.07766  0.965129  3.612  N
1.21243  0.831563  3.34252  N
1.34432  0.754389  3.22125  N
1.47325  0.645906  2.96544  N
1.60018  0.579103  2.83683  N
1.72655  0.477468  2.57017  N
1.85211  0.414497  2.43683  N
1.97679  0.341985  2.20783  N
2.10064  0.495286  3.21556  N
2.22369  1.09272  5.28637  N
2.34599  1.85239  6.71723  N
2.4676  2.60298  7.34634  N
2.58856  3.27516  7.65158  N
2.70892  3.78561  7.85101  N
2.82873  3.81135  7.84181  N
2.94869  3.61946  7.74727  N
3.07043  3.43915  7.65354  N
3.19612  4.16948  9.68924  N
3.32663  4.32478  9.75585  N
3.46108  4.20293  9.64991  N
3.59755  3.95532  9.42633  N
3.73379  3.6067  9.07415  N
3.86858  3.40367  8.93287  N
4.00046  3.21079  8.81704  N
4.13202  2.97383  8.54171  N
4.26364  2.78101  8.36447  N
4.39537  2.59729  8.14775  N
4.52725  2.51789  7.93166  N
4.65931  2.54286  7.87032  N
4.79159  2.56873  7.79368  N
4.92412  2.62735  7.79564  N
5.05693  3.07955  7.20115  T
5.19007  3.12495  7.19886  T
5.32358  3.22374  7.33061  T
5.45737  3.31623  7.36957  T
5.59117  3.41767  7.41584  T
5.72501  3.51802  7.56349  T
5.86023  3.61354  7.70179  T
5.99675  3.69548  7.71862  T
6.13328  3.79382  7.85244  T
6.2698  3.89287  7.97229  T
6.40632  4.06059  8.22783  T
6.54236  4.22105  8.31209  T
6.67655  4.41015  8.49441  T
6.80849  4.65094  8.69102  T
6.93742  4.587  9.76348  T
7.06432  4.64974  9.94225  T
7.19135  4.51207  9.7924  T
7.31867  3.99417  8.93128  T
7.4462  3.58636  8.07751  T
7.57384  3.32144  7.54413  T
7.70176  3.29024  7.50407  T
7.83027  3.2745  7.42261  T
7.95964  3.15734  7.27161  T
8.09013  2.99657  7.19764  T
8.22205  2.84385  7.11454  T
8.35571  2.62492  6.84416  T
8.49027  2.3908  6.56177  T
8.62478  2.17972  6.44415  T
8.75938  1.95745  6.15292  T
8.89407  1.72629  5.85198  T
9.029  1.50538  5.48023  T
9.1646  1.33402  5.40453  T
9.30058  1.1904  5.26431  T
9.43678  1.02733  4.88387  T
9.57312  0.913999  4.74958  T
9.70955  0.766345  4.17576  T
9.84605  0.649874  3.90993  T
9.98262  0.564384  3.68804  T
10.1192  0.464456  3.12173  T
10.2558  0.406959  2.97553  T
10.3924  0.400955  2.96938  T
10.5288  0.397859  2.96614  T
10.6652  0.396701  2.96527  T
10.8015  0.395608  2.9626  T
10.9376  0.398926  2.96505  T
11.0736  0.402382  2.96659  T
11.2094  0.410519  2.97845  T
11.3445  0.384683  2.95081  T
11.4789  0.347591  2.74009  T
11.6128  0.340747  2.83591  T
11.7463  0.318313  2.71124  T
11.8795  0.314547  2.72148  T
12.012  0.306721  2.60257  T
12.1433  0.31104  2.61656  T
12.2735  0.251868  2.17935  T
12.4028  0.204809  1.93846  T
12.5316  0.194166  1.91844  T
12.6604  0.185217  1.82471  T
12.7897  0.188812  1.83289  T
12.9197  0.209348  2.80277  T
13.051  0.15  1.73638  T
13.1834  0.15  1.50175  T
13.3165  0.15  1.37868  T
13.45  0.15  1.37294  T
13.5834  0.15  1.37294  T
13.7163  0.15  1.37294  T
13.849  0.15  1.37294  T
13.9814  0.15  1.37294  T
14.1132  0.15  1.37294  T
14.2425  0.15  1.37294  T
14.3644  0.15  1.49725  T
14.479  0.206842  2.7494  T
14.5896  0.305739  3.44091  T
14.6993  0.453082  4.17661  T
14.8083  0.649115  4.89324  N
14.9114  2.65071  8.2734  N
15.0034  3.18242  8.00262  N
15.0864  3.33646  8.05098  N
15.168  3.14673  7.49619  N
15.2517  1.95318  6.28352  I
15.3389  1.08894  5.44733  I
15.4306  0.623571  5.4732  I
15.5281  0.542091  6.51953  I
15.6321  1.00686  7.1293  L
15.739  0.854631  6.8074  L
15.8472  1.73255  6.40835  L
15.9563  1.66063  6.51732  L
16.0672  1.66312  6.51257  L
16.1834  1.67651  6.38761  L
16.3047  1.64235  6.36264  L

=== Piecewise constant (stepwise changing) area function ===
position_cm  area_cm2  perimeter_cm  articulator
0  1.61173  4.58674  N
0.448  1.61173  4.58674  N
0.448  1.11118  3.83441  N
0.896001  1.11118  3.83441  N
0.896001  0.754577  3.22154  N
1.344  0.754577  3.22154  N
1.344  0.444643  2.50066  N
1.792  0.444643  2.50066  N
1.792  0.341985  2.20783  N
2.24  0.341985  2.20783  N
2.24  1.19403  5.4772  N
2.688  1.19403  5.4772  N
2.688  3.43915  7.65354  N
3.136  3.43915  7.65354  N
3.136  3.82018  8.71562  N
3.584  3.82018  8.71562  N
3.584  3.15398  8.75103  N
4.032  3.15398  8.75103  N
4.032  2.54633  8.00907  N
4.48  2.54633  8.00907  N
4.48  2.51789  7.77823  N
4.928  2.51789  7.77823  N
4.928  2.6406  7.19886  T
5.37601  2.6406  7.19886  T
5.37601  3.25998  7.34588  T
5.82401  3.25998  7.34588  T
5.82401  3.58795  7.66474  T
6.27201  3.58795  7.66474  T
6.27201  3.89558  7.97642  T
6.72001  3.89558  7.97642  T
6.72001  4.48946  8.55917  T
7.16801  4.48946  8.55917  T
7.16801  3.28711  7.48787  T
7.72732  3.28711  7.48787  T
7.72732  2.77541  7.03002  T
8.26383  2.77541  7.03002  T
8.26383  1.92459  6.11014  T
8.77853  1.92459  6.11014  T
8.77853  1.22015  5.29335  T
9.27241  1.22015  5.29335  T
9.27241  0.734849  4.10387  T
9.74647  0.734849  4.10387  T
9.74647  0.429753  3.03349  T
10.2017  0.429753  3.03349  T
10.2017  0.396923  2.96543  T
10.6391  0.396923  2.96543  T
10.6391  0.395608  2.9626  T
11.0596  0.395608  2.9626  T
11.0596  0.351653  2.76316  T
11.4642  0.351653  2.76316  T
11.4642  0.315268  2.71124  T
11.854  0.315268  2.71124  T
11.854  0.271683  2.32575  T
12.2299  0.271683  2.32575  T
12.2299  0.189906  1.87382  T
12.5929  0.189906  1.87382  T
12.5929  0.185217  1.82471  T
12.9441  0.185217  1.82471  T
12.9441  0.15  1.40851  T
13.2843  0.15  1.40851  T
13.2843  0.15  1.37294  T
13.6146  0.15  1.37294  T
13.6146  0.15  1.37294  T
13.9359  0.15  1.37294  T
13.9359  0.15  1.37294  T
14.2494  0.15  1.37294  T
14.2494  0.15  1.37999  T
14.5559  0.15  1.37999  T
14.5559  0.275623  3.23033  T
14.8565  0.275623  3.23033  T
14.8565  1.58429  6.4725  N
15.1521  1.58429  6.4725  N
15.1521  0.612623  5.44733  I
15.4437  0.612623  5.44733  I
15.4437  0.542091  5.61378  I
15.7324  0.542091  5.61378  I
15.7324  0.854631  6.40835  L
16.019  0.854631  6.40835  L
16.019  1.64235  6.36264  L
16.3047  1.64235  6.36264  L

