Fig. 9
From: Time-warping analysis for biological signals: methodology and application
Comparison of four distance metrics applied to aligning a pair of signals in three different ways. (A) Two non-aligned signals (same as in Fig. 8). (B) Teal-to-black alignment, with its warping function on the right. C: Black-to-teal alignment, with its warping function on the right. (D) Simultaneous alignment of the two signals, and its warping function. The four distance metrics are the Euclidean distance (L2-norm) between the signals dEucl, the absolute distance (L1-norm) between the signals dAbs, the L2-norm on the time-derivatives of the signals dDeriv, and the Fisher-Rao metric dFR. The smallest distance per column is marked with green shading. Only the Fisher-Rao metric is invariant across all three alignments.
