Hi all,(adsbygoogle = window.adsbygoogle || []).push({});

I have a smooth [itex]f(x,y)[/itex] in some region of ℝ2 that I know to be [itex]0\le f(x,y)\le 1[/itex]. The region has holes. I also know that inside the holes, f(x,y)=0, and outside of the region, f(x,y)=0. I'm looking for a good choice of polynomials or other functions I can expand f on in order to fit my data to. Is there a standard choice for something like this? (see attachment)

Thanks

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Kernel/basis function for multiply connected region

**Physics Forums | Science Articles, Homework Help, Discussion**