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. 2019 Sep 19;14(9):e0222212. doi: 10.1371/journal.pone.0222212

Fig 5. Invariance of the path signature under time reparameterisation.

Fig 5

Top left: a path generated by drawing the letter ‘b’ from the top down. Top right: original time series generated by regular sampling of the X- and Y- coordinates of the path. Bottom left: speed increased at start of drawing. Bottom right: speed increased at the end of drawing. In contrast to features derived from the time series, the signature uniquely characterizes the original path. The path signature of degree 2 is {1, −0.0013, −0.0464, 0.0000, 0.0007, −0.0006, 0.0011}.