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Interpolating vector data in Matlab

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AndrewSpotlight

AndrewSpotlight

Mechanical
Jul 5, 2011
8
Hi,

Suppose there are three parameters x,y,z, where z is a function of x,y such as z=f(x,y). If I know the value of z at a specific (x,y), for instance f(1,2)=11, f(2,3)=12, f(3,4)=13, f(4,5)=14, is there a way to get z value wrt different (x,y) via interpolation?

(in my case x,y,z are one-column vectors in the same form of n*1)

Thanks!!!
 
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Why wouldn't there be?

It's only a question of how much complexity you want. In your specific numerical example, everything is on a line in xy space, so linear, bilinear, cubic, bicubic, sinc, spline, etc. are all possible interpolation approaches.

A more general 2-D fit would require a surface of some sort, which might be constructed from splines along diagonals.



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