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Double integration in Matlab on given data set

  1. Aug 21, 2012 #1
    1. The problem statement, all variables and given/known data

    Hello,

    I have a problem

    I have a strand (pathway) defined in Matlab as X and Y and s where X and Y are the coordinates and s is an indexing (1, 2, 3, .....), and I can have this X and Y in high resultion, namely very small distance between them

    I need to achieve this double integral

    0 L0 L < ( r (s1) - r (s2) )2 > ds1 ds2


    where L is known (the length of the strand) and r is the representation of the curve, namely a contour function of the strand !

    I have no idea how to achieve such an integral !

    hope you can help me

    Alyazan

    2. Relevant equations



    3. The attempt at a solution

    1- I thought about turning this integral into a sum ! but I am not sure how to do that

    2- I thought also about extrapolating a contour function r (s) from my X and Y data set but still I have very different shapes of strands everynow and then which look just like worms !
     
    Last edited: Aug 21, 2012
  2. jcsd
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