=== Piecewise linear area function ===
position_cm  area_cm2  perimeter_cm  articulator
0  2.29712  5.4334  N
0.124232  2.03176  5.13222  N
0.256849  1.88166  4.93877  N
0.389547  1.69684  4.70508  N
0.522366  1.5139  4.4461  N
0.655348  1.39384  4.28094  N
0.788533  1.23277  4.03692  N
0.92196  1.12204  3.85967  N
1.05542  0.982353  3.64203  N
1.18754  0.847906  3.36872  N
1.31649  0.771558  3.24787  N
1.44236  0.662132  2.99709  N
1.56606  0.598132  2.88295  N
1.6884  0.498689  2.61783  N
1.80969  0.435789  2.48845  N
1.92998  0.347415  2.2204  N
2.0493  0.413809  2.59829  N
2.16772  0.894865  4.62308  N
2.28527  1.67098  6.43596  N
2.4021  2.44687  7.19902  N
2.51852  3.18037  7.62918  N
2.63463  3.80848  7.91106  N
2.75042  4.22476  8.05173  N
2.86604  4.12466  7.99814  N
2.98249  3.94386  7.90548  N
3.10224  4.67569  10.1661  N
3.22624  4.78017  10.1244  N
3.35447  4.66297  10.0465  N
3.48665  4.45457  9.87883  N
3.61975  4.07546  9.48709  N
3.7522  3.81496  9.31639  N
3.88131  3.56263  9.15426  N
4.00908  3.31507  8.92192  N
4.13684  3.06717  8.61774  N
4.26463  2.83284  8.40012  N
4.39255  2.65877  8.14742  N
4.52068  2.59451  7.92912  N
4.64904  2.59243  7.87086  N
4.77767  2.61607  7.90217  N
4.90662  3.04422  7.16186  T
5.03591  3.05816  7.15855  T
5.16561  3.09411  7.17292  T
5.2957  3.11917  7.08821  T
5.42585  3.18436  7.2049  T
5.55599  3.21542  7.22739  T
5.68644  3.25202  7.33543  T
5.81883  3.29189  7.33649  T
5.95191  3.33466  7.36756  T
6.08492  3.39231  7.4799  T
6.21791  3.5303  7.62028  T
6.35091  3.68939  7.86703  T
6.48398  3.8489  8.02521  T
6.61699  4.0875  8.22919  T
6.74918  4.33073  8.35803  T
6.87918  4.63397  8.68154  T
7.00575  4.94928  8.84558  T
7.12991  5.10072  10.1955  T
7.25387  5.22018  10.41  T
7.37825  5.29024  10.6182  T
7.50285  4.81858  9.88078  T
7.62758  4.47712  9.06062  T
7.75267  4.28924  8.68861  T
7.8781  4.3166  8.66364  T
8.00411  4.38419  8.69727  T
8.13099  4.33159  8.6703  T
8.25903  4.25401  8.78951  T
8.38852  4.1721  8.74356  T
8.51954  4.03528  8.69049  T
8.65095  3.89416  8.62914  T
8.78271  3.78473  8.76712  T
8.91481  3.65365  8.71814  T
9.04713  3.50268  8.68025  T
9.17941  3.37183  8.83255  T
9.3121  3.2427  8.79352  T
9.44514  3.04665  8.22739  T
9.57824  2.85103  7.86177  T
9.71145  2.62623  7.18865  T
9.84471  2.45755  6.8293  T
9.97803  2.31029  6.4925  T
10.1114  2.16668  6.17569  T
10.2448  2.1097  6.06461  T
10.3782  2.08029  6.05557  T
10.5115  2.12627  6.0812  T
10.6448  2.1956  6.11794  T
10.778  2.27511  6.23076  T
10.9112  2.36685  6.35232  T
11.0443  2.46449  6.48341  T
11.1773  2.55506  6.53567  T
11.3099  2.6242  6.50437  T
11.4419  2.63274  6.50218  T
11.5733  2.6447  6.50792  T
11.7042  2.67925  6.53128  T
11.8348  2.71285  6.55739  T
11.9651  2.73808  6.51553  T
12.0947  2.80684  6.57256  T
12.2236  2.78631  6.49358  T
12.3518  2.74493  6.46934  T
12.4796  2.72168  6.45702  T
12.6074  2.73604  6.46953  T
12.7353  2.70808  6.44386  T
12.8637  2.58443  6.35741  T
12.9927  2.45953  6.28883  T
13.1226  2.3445  6.22019  T
13.2533  2.25402  6.25658  T
13.3845  2.17414  6.12467  T
13.5162  2.11887  6.08451  T
13.6483  2.08013  6.2416  T
13.7809  2.04431  6.26614  T
13.9139  2.02604  6.30663  T
14.0469  2.00662  6.13666  T
14.1793  1.96501  6.03553  T
14.3112  1.8701  5.91453  T
14.4408  1.78745  5.86693  T
14.5621  1.71271  5.83416  T
14.6754  1.76748  7.06768  T
14.7809  1.80463  6.87622  T
14.874  1.81163  6.79245  T
14.9568  1.90894  6.70386  T
15.0371  1.89331  6.36567  T
15.1166  2.15016  6.4961  N
15.1961  2.11119  7.4853  I
15.2764  2.04607  7.77972  I
15.3582  2.31121  8.10897  L
15.4425  2.01649  7.81728  L
15.5307  2.07727  9.17928  L
15.6249  2.62314  9.07911  L
15.7262  3.13662  8.18648  L
15.8331  2.97481  8.12566  L
15.9412  2.92285  7.98681  L

=== Piecewise constant (stepwise changing) area function ===
position_cm  area_cm2  perimeter_cm  articulator
0  1.59978  4.56768  N
0.460013  1.59978  4.56768  N
0.460013  1.12365  3.86223  N
0.920027  1.12365  3.86223  N
0.920027  0.716307  3.12124  N
1.38004  0.716307  3.12124  N
1.38004  0.413483  2.42079  N
1.84005  0.413483  2.42079  N
1.84005  0.347415  2.2204  N
2.30007  0.347415  2.2204  N
2.30007  1.76927  6.53263  N
2.76008  1.76927  6.53263  N
2.76008  3.94386  7.90548  N
3.22009  3.94386  7.90548  N
3.22009  3.95675  9.4093  N
3.68011  3.95675  9.4093  N
3.68011  3.06116  8.61216  N
4.14012  3.06116  8.61216  N
4.14012  2.59322  7.89306  N
4.60013  2.59322  7.89306  N
4.60013  2.59243  7.15855  N
5.06015  2.59243  7.15855  N
5.06015  3.06487  7.08821  T
5.52016  3.06487  7.08821  T
5.52016  3.20687  7.2212  T
5.98017  3.20687  7.2212  T
5.98017  3.34691  7.39143  T
6.44019  3.34691  7.39143  T
6.44019  3.7964  7.97315  T
6.9002  3.7964  7.97315  T
6.9002  4.68634  8.70879  T
7.36021  4.68634  8.70879  T
7.36021  4.28924  8.66364  T
7.88551  4.28924  8.66364  T
7.88551  4.17119  8.66562  T
8.38939  4.17119  8.66562  T
8.38939  3.69534  8.62914  T
8.87279  3.69534  8.62914  T
8.87279  3.20655  8.68025  T
9.33663  3.20655  8.68025  T
9.33663  2.53711  6.9988  T
9.78185  2.53711  6.9988  T
9.78185  2.12483  6.0941  T
10.2094  2.12483  6.0941  T
10.2094  2.08029  6.05557  T
10.6202  2.08029  6.05557  T
10.6202  2.1828  6.11115  T
11.0151  2.1828  6.11115  T
11.0151  2.44307  6.45465  T
11.3951  2.44307  6.45465  T
11.3951  2.62971  6.50218  T
11.7612  2.62971  6.50218  T
11.7612  2.69392  6.51553  T
12.1143  2.69392  6.51553  T
12.1143  2.72612  6.45938  T
12.4552  2.72612  6.45938  T
12.4552  2.66022  6.4104  T
12.785  2.66022  6.4104  T
12.785  2.36053  6.22975  T
13.1045  2.36053  6.22975  T
13.1045  2.16147  6.11547  T
13.4147  2.16147  6.11547  T
13.4147  2.06171  6.08451  T
13.7165  2.06171  6.08451  T
13.7165  2.01188  6.18266  T
14.0109  2.01188  6.18266  T
14.0109  1.87902  5.92591  T
14.2988  1.87902  5.92591  T
14.2988  1.71271  5.83416  T
14.5811  1.71271  5.83416  T
14.5811  1.72186  6.04016  T
14.8587  1.72186  6.04016  T
14.8587  1.81047  6.36567  T
15.1326  1.81047  6.36567  T
15.1326  2.04607  6.69534  I
15.4037  2.04607  6.69534  I
15.4037  2.01649  7.81728  L
15.6729  2.01649  7.81728  L
15.6729  2.86645  7.98681  L
15.9412  2.86645  7.98681  L

