how to extrapolate information from two columns?

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NotGood
NotGood 2021-6-18
评论： NotGood 2021-6-18
So I'm trying to extrapolate some informations from two columns at a certain time to find a postion.
A = [time ; x ; y]
hit = 4
example
[A] = [ 1, 1.5, 2, 2.75, 3.5, 6;
55, 39, 32, 28,16,10 ;
12, 19, 25, 32, 22, 14]
I know you need to sort the first row, time, to figure out which columns to use.
[~,col1] = find(A(1,:)<hit,1) %to find the column before hit
[~,col2] = find(A(1,:)>hit,1) %to find the column after hit
not sure if I'm using this, right currently stuck here. I forgot what the error was and can only access matlab at school.
but col1 should = 5 and col2 = 6
but after that, I want use a extrapolation formula to find a new x and y
using
newpostion = postion1 + ((postion2-postion1)/(time2-time1))(hit-time1)
so I get,
xnew = A(2,col1) + ((A(2,col2)-A(2,col1))/(A(1,col2)-A(1,col1)))(hit-A(1,col1))
ynew = A(3,col1) + ((A(3,col2)-A(3,col1))/(A(1,col2)-A(1,col1)))(hit-A(1,col1))
doing it by hand, I got xnew = 14.8 and ynew = 20.4

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采纳的回答

Jonas
Jonas 2021-6-18
i suggest to use the interp1() function twice, once with time and x and once with time and y. you can give the query point to each call of the interp1() function
  1 个评论
NotGood
NotGood 2021-6-18
This is a good idea, I will try it as soon as I can. I would of never know about that function.

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