Problem with derivation of equation
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George
le 23 Sep 2015
Commenté : Walter Roberson
le 2 Oct 2015
This problem is somewhat getting a method to automatically produce a function from basically three variables, so far I couldn't get my head around it. I have 2 vectors and a quantity of MxN with, which is dependent on the x,y vectors
x=[0:1:18];
y=[0:1:2];
quantity=[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0;
0,0,0,0,49,73,85,86,83,78,82,67,63,59,0,0,0,0,0;
0,0,0,54,136,193,205,196,182,187,153,142,132,123,0,0,0,0,0];
I am trying to find a way to link all of them into an equation of some sorts, so when a new set of values x,y (which have values within the original x,y lengths), so I can get the same result for quantity as in the original matrix. Basically trying to figure out a way in matlab to link the x,y with the quantity as a final result.
Any idea would help
thanks in advance
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John D'Errico
le 23 Sep 2015
help interp2
But no, you cannot have some simple equation that will interpolate the entire array, and be simple to write down. There is none.
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Walter Roberson
le 2 Oct 2015
interp2 is not going to produce an equation which is what you had requested. The multivariate Lagrange interpolation I linked to would be for producing an equation .
Most of the time you do not really want an equation: most of the time you want a function and interp2() can be an important component of the function.
But if you do want a function then you should look at triscatteredinterp and similar routines such as scatteredInterpolant which will produce a function that can then be evaluated at arbitrary points, or you can look at griddata() if you are wanting to interpolate a grid of values over a different grid.
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