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    $\begingroup$ because each segment in bsf takes 1/numberOfSegments instead of being rescaled by its length. $\endgroup$ Commented Oct 11, 2017 at 19:49
  • $\begingroup$ @Kuba So it is not your after? $\endgroup$ Commented Oct 11, 2017 at 19:49
  • $\begingroup$ nope, it is not. I need arc length parametrization $\endgroup$ Commented Oct 11, 2017 at 19:51