timeseries.SpaceCurve.arclength_param

SpaceCurve.arclength_param()

Change time parametrization to the universal speed=1 arclength parametrization.

Examples

>>> tn = np.arange(0, 5e9, 1e9)
>>> s = SpaceCurve(tn=tn, px=(tn/1e9)**2)
>>> s.data
            time  pos_x  pos_y  pos_z  quality
0            0.0    0.0    0.0    0.0       -1
1000000000   1.0    1.0    0.0    0.0       -1
2000000000   2.0    4.0    0.0    0.0       -1
3000000000   3.0    9.0    0.0    0.0       -1
4000000000   4.0   16.0    0.0    0.0       -1
>>> a = s.arclength_param()
>>> a.data
             time  pos_x  pos_y  pos_z  quality
0             0.0    0.0    0.0    0.0       -1
1000000000    1.0    1.0    0.0    0.0       -1
4000000000    4.0    4.0    0.0    0.0       -1
9000000000    9.0    9.0    0.0    0.0       -1
16000000000  16.0   16.0    0.0    0.0       -1