=== Piecewise linear area function ===
position_cm  area_cm2  perimeter_cm  articulator
0  2.29712  5.4334  N
0.120771  2.02015  5.12053  N
0.252015  1.87308  4.93057  N
0.383359  1.69072  4.69985  N
0.514852  1.5105  4.44429  N
0.646543  1.39303  4.28244  N
0.778482  1.23463  4.04339  N
0.910718  1.12626  3.86868  N
1.04325  0.9879  3.64777  N
1.17426  0.853745  3.38022  N
1.30273  0.778172  3.25836  N
1.42855  0.667972  3.01142  N
1.55194  0.604102  2.89422  N
1.6737  0.507321  2.64234  N
1.7953  0.444234  2.50699  N
1.91618  0.356552  2.24709  N
2.0363  0.342677  2.25115  N
2.1557  0.649683  3.90219  N
2.27442  1.33956  5.96025  N
2.39266  2.03335  6.99205  N
2.51099  2.64983  7.37701  N
2.62947  3.19081  7.63099  N
2.74811  3.61767  7.80827  N
2.86693  3.85694  7.88443  N
2.98656  4.13375  9.50028  N
3.10748  4.09285  9.33874  N
3.23047  3.67171  9.03251  N
3.35655  3.1951  8.68979  N
3.4856  2.54065  8.03893  N
3.61484  1.82216  6.81252  N
3.74385  1.29449  5.8685  N
3.8726  0.916759  5.16963  N
4.00102  0.741195  4.8529  N
4.12887  0.610484  4.7171  N
4.25643  0.471898  4.47085  N
4.38464  0.507531  3.43031  T
4.51314  0.483602  3.33092  T
4.64213  0.500865  3.34308  T
4.77188  0.519451  3.34758  T
4.90266  0.540269  3.35578  T
5.03399  0.602085  3.48621  T
5.16552  0.679078  3.7522  T
5.29731  0.751072  3.88258  T
5.42933  0.825044  4.02937  T
5.56139  0.905417  4.16589  T
5.69358  0.981639  4.22208  T
5.82592  1.13411  4.93862  T
5.95842  1.26651  5.0724  T
6.09095  1.40858  5.2073  T
6.22349  1.57724  5.46576  T
6.35543  1.75067  5.70915  T
6.48405  1.94245  5.97632  T
6.60943  2.17784  6.45791  T
6.73231  2.42265  6.76312  T
6.85389  2.50174  8.10702  T
6.9755  2.66872  8.64072  T
7.09739  2.73069  8.63635  T
7.21917  2.53383  8.24514  T
7.34095  2.17834  7.21593  T
7.46302  1.90594  6.31683  T
7.58554  1.72526  5.89576  T
7.70879  1.79359  5.99524  T
7.83322  1.91369  6.13877  T
7.95926  1.93941  6.0721  T
8.08714  1.89226  6.05321  T
8.21653  1.89688  6.14213  T
8.34614  1.8736  6.13424  T
8.4756  1.8296  6.12174  T
8.60485  1.82923  6.13887  T
8.73371  1.85524  6.33189  T
8.86308  1.90344  6.53265  T
8.99345  1.9719  6.76165  T
9.12425  2.0621  7.09183  T
9.25519  2.22707  7.6597  T
9.38646  2.39522  7.91298  T
9.518  2.51979  8.15541  T
9.64972  2.61929  8.19135  T
9.78165  2.72975  8.23579  T
9.91375  2.85562  8.46933  T
10.0459  3.01133  8.52952  T
10.1782  3.16291  8.59028  T
10.3106  3.43113  8.87491  T
10.443  3.72858  8.99406  T
10.5754  4.02569  9.12381  T
10.7078  4.31311  9.23409  T
10.8403  4.56085  9.17741  T
10.9727  4.82602  9.28786  T
11.1051  5.04576  9.24669  T
11.2373  5.18218  9.31039  T
11.3692  5.31028  9.37532  T
11.5009  5.39007  9.28347  T
11.6324  5.5064  9.34942  T
11.7637  5.57424  9.26874  T
11.8949  5.68537  9.34333  T
12.0255  5.71559  9.35554  T
12.1556  5.64317  9.19451  T
12.2851  5.63342  9.20343  T
12.4143  5.73225  10.437  T
12.5434  5.49735  8.98907  T
12.6723  5.33329  8.88114  T
12.8014  5.07902  8.60912  T
12.9304  5.13929  12.2899  T
13.0593  5.02167  12.0372  T
13.1878  4.99503  11.5449  T
13.3158  4.93654  11.4095  T
13.4432  4.55727  11.06  T
13.5697  4.41503  10.7483  T
13.6959  4.32664  10.4371  T
13.822  4.26171  9.78207  T
13.9474  4.04473  9.43377  T
14.0714  3.74293  8.91548  T
14.1938  3.6097  8.62778  T
14.3082  3.43867  8.13696  T
14.4146  3.44986  8.04509  T
14.5133  3.41171  7.85526  T
14.602  3.25139  7.39699  I
14.6828  2.73491  7.35542  I
14.7638  2.23658  6.85694  I
14.8463  1.7729  6.43185  I
14.9313  1.70706  7.00458  I
15.0172  1.701  7.65308  I
15.1032  1.96439  7.11806  L
15.1891  1.88376  8.32017  L
15.2757  1.97109  8.54181  L
15.3663  2.97468  7.72333  L
15.4637  2.89721  7.76735  L
15.5683  2.88658  7.7595  L
15.6768  2.87037  7.74758  L
15.7876  2.84427  7.75305  L

=== Piecewise constant (stepwise changing) area function ===
position_cm  area_cm2  perimeter_cm  articulator
0  1.60496  4.57825  N
0.445928  1.60496  4.57825  N
0.445928  1.14172  3.8936  N
0.891855  1.14172  3.8936  N
0.891855  0.747469  3.18956  N
1.33778  0.747469  3.18956  N
1.33778  0.450248  2.51989  N
1.78371  0.450248  2.51989  N
1.78371  0.342677  2.24709  N
2.22964  0.342677  2.24709  N
2.22964  1.07934  5.18396  N
2.67557  1.07934  5.18396  N
2.67557  3.35666  7.69987  N
3.12149  3.35666  7.69987  N
3.12149  2.08578  7.26249  N
3.56742  2.08578  7.26249  N
3.56742  0.72859  4.8398  N
4.01335  0.72859  4.8398  N
4.01335  0.471898  3.37258  N
4.45928  0.471898  3.37258  N
4.45928  0.483602  3.33092  T
4.9052  0.483602  3.33092  T
4.9052  0.541467  3.35831  T
5.35113  0.541467  3.35831  T
5.35113  0.781228  3.94242  T
5.79706  0.781228  3.94242  T
5.79706  1.10085  4.78233  T
6.24299  1.10085  4.78233  T
6.24299  1.60287  5.50172  T
6.68891  1.60287  5.50172  T
6.68891  2.3362  6.65534  T
7.13484  2.3362  6.65534  T
7.13484  1.72526  5.89576  T
7.66453  1.72526  5.89576  T
7.66453  1.76905  5.95951  T
8.17262  1.76905  5.95951  T
8.17262  1.82923  6.11195  T
8.66005  1.82923  6.11195  T
8.66005  1.84038  6.22155  T
9.12777  1.84038  6.22155  T
9.12777  2.06654  7.10711  T
9.57671  2.06654  7.10711  T
9.57671  2.56414  8.17143  T
10.0078  2.56414  8.17143  T
10.0078  2.96642  8.51216  T
10.422  2.96642  8.51216  T
10.422  3.68154  8.97521  T
10.8203  3.68154  8.97521  T
10.8203  4.52342  9.17741  T
11.2035  4.52342  9.17741  T
11.2035  5.14727  9.28347  T
11.5726  5.14727  9.28347  T
11.5726  5.45353  9.26874  T
11.9286  5.45353  9.26874  T
11.9286  5.63437  9.19451  T
12.2724  5.63437  9.19451  T
12.2724  5.41905  8.93756  T
12.6049  5.41905  8.93756  T
12.6049  5.07902  8.60912  T
12.9271  5.07902  8.60912  T
12.9271  4.97122  11.4898  T
13.2399  4.97122  11.4898  T
13.2399  4.44366  10.811  T
13.5443  4.44366  10.811  T
13.5443  4.22873  9.72913  T
13.8411  4.22873  9.72913  T
13.8411  3.67769  8.77459  T
14.1314  3.67769  8.77459  T
14.1314  3.43867  8.04239  T
14.416  3.43867  8.04239  T
14.416  2.65418  7.27467  I
14.696  2.65418  7.27467  I
14.696  1.70418  6.43185  I
14.9721  1.70418  6.43185  I
14.9721  1.701  7.11806  I
15.2455  1.701  7.11806  I
15.2455  1.94061  7.72333  L
15.517  1.94061  7.72333  L
15.517  2.84427  7.74758  L
15.7876  2.84427  7.74758  L

