Automation: How To Get A Threshold Value Between Curves For Any Dataset?

https://imgur.com/a/ja0URmC

I have (X,Y) values for the curves in a graph as shown in the figure.I want to separate these curves into Curve1: 1-2-3-4, Curve2: 5-6-7-8-9-10-11 and Curve3: 12-13-14-15-16. I intend to use the distances between the adjacent points for this. For example, `d4` and `d11` in the graph are considerably large compared to other distance values. So I would split Curve1 and Curve2, knowing that the distance `d4` is large between points 4 and 5. Same for Curve2 and Curve3 with `d11` between points 11 and 12.
Is there a method that determines the minimum threshold value for distance to separate all the curves? New approaches are also welcome.
Thank you.

submitted by /u/PsynapseAural
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