How comparing vectors defined in different ranges?

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Hi! I'm writing a script to extract a laser profile from an image and make some measures. I have two different vectors: first one with my model and a second one with the laser relief.

The two vectors have different lenghts and their x-values are different, but defined in the same range [0,200] (measures are in mm).

There is a way to compare the two vectors and compute the offset error from each others, or there is a better way to do that? Functions as intersect and ismember doesn't work for me, because x-values are double and the two vectors have null intersection.

Thanks