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Making curves going through given points

  1. Sep 21, 2011 #1
    Hi!
    I am having points set say P = { [x1,y1] , [x2,y2],[x3,y3],......,[xn,yn]}

    Now, i wanna fit curves going through these points. Is it possible.
    I googled and went through something called beziers.. is that helpful here ? Or is there any direct mathematical approach to achieve.

    Thanks in advance for answers

    :)
     
  2. jcsd
  3. Sep 22, 2011 #2
    Assume that x1,x2,.. are all distinct ( if not, we could re-position the axes). We can always find a polynomial curve of degree n passing through the points using Lagrange interpolation.
     
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