FindCurvePath

FindCurvePath[{{x1,y1},{x2,y2},…}] gives an ordering of the {xi,yi} that corresponds to one or more smooth curves.

Examples

Find a curve path through scattered points:

pts = {{0, 0}, {1, 1}, {0.5, 0.5}, {2, 2}, {1.5, 1.5}};
FindCurvePath[pts]
(* {{1, 3, 2, 5, 4}} *)

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