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It has been a while that I am trying to understand the dtw (dynamic time warping) algorithm but I steel can't figure out the loginc behind this algorithm..

In many references it's explained that to compute the path between to time series I need to implement this recursivity:

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I have many questions here and I hope some one can give me an answer:

  1. What we mean exactly by the path between two time series ?
  2. What is the (cost path matrix described here:

enter image description here

  1. Why not just compute the distances between a given point of t and other points of r and select the closest one an repeat this until matching all points from t to points from r ??

Thanks in advance for any helpfull answer / comment.

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