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Timeline for Algebraic curve approximation

Current License: CC BY-SA 3.0

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Jan 7, 2013 at 11:54 vote accept David
Aug 15, 2012 at 17:50 comment added Robert Israel If by bifurcations you mean critical points (intersections of the circles), those are easy to get rid of by modifying the definition. With a bit more work, if $K$ is diffeomorphic to an interval we should be able to get a curve diffeomorphic to a circle.
Aug 14, 2012 at 21:05 comment added David thank you very much for your answer. This solution is very nice! But what is bed that solution contains a lot of bifurcation points. I am wonderig if the initial path is more or less - "normal" can we aproximate it with "normal" algebraic curve? Let say that "normal" is something that our intuition suggests. I don't know, let say "normal" curve is a curve that is diffeomorphic to interval. Or may be it should be some another definition that kills these biffurcation points.
Aug 14, 2012 at 1:03 history answered Robert Israel CC BY-SA 3.0