# Mapping and Interpolation

Does Mathematica have a mapping function like scipy or any of the multidimensional ones?

By this I mean something like mapping $[1,100]$ onto $[7,20]$ for example.

Looking at Interpolate I only see interpolation with regards to estimating a line given points.

To make it more clear I mean a simple example using a linear mapping would be $[0,512]$ onto $[0,10]$ would give 5 for a value of 256.

1. What would make the question more clear? An example would be reading in a sensor that gives values on $[0,256]$ and using those to operate say a servo which accepts values on $[0,10]$

2. in this scale that is exactly what I'm looking for! thanks. Is it possible to use mappings of other orders, ex. a normal distribution or a quadratic mapping? This being a linear mapping. –

• I don't understand what your asking for. – rcollyer Apr 10 '12 at 1:13
• Do you mean splines? reference.wolfram.com/mathematica/guide/Splines.html – Vitaliy Kaurov Apr 10 '12 at 1:55
• Are you looking for Rescale[256, {0,512}, {0,10}] (==> 5)? – Brett Champion Apr 10 '12 at 2:22
• @BrettChampion in this scale that is exactly what I'm looking for! thanks. Is it possible to use mappings of other orders, ex. a normal distribution or a quadratic mapping? This being a linear mapping. – Eiyrioü von Kauyf Apr 10 '12 at 2:25
• The reason why your question was unclear is that you mention interpolation when you need a linear transformation (they're unrelated) and that originally you didn't say at all that you need a linear transformation. There are of course infinitely many (non-linear) mappings from interval $[a,b]$ to interval $[c,d]$. – Szabolcs Apr 10 '12 at 6:57