quasi
Posts:
10,403
Registered:
7/15/05


Re: Question: Centroid given a distance metric
Posted:
Feb 12, 2013 2:45 AM


Andrey Savov wrote: >quasi wrote: >> Andrey Savov wrote: >> > >> >Was wondering if you guys can point me in the right >> >direction. Are there any known/studied methods to calculate >> >a centroid >> >(geometric center) of finite set of points in ndimensional >> >real Euclidean space by only knowing a distance metric >> >f(x,y): R^n x R^n > R ? >> >> If all you know are the pairwise distances, how are the >> points specified? And in what form do you want the centroid >> specified? > >Points are specified by their ndimensional coordinates. >Centroid should be specified the same way.
Can you give a concrete example, specifying
n a norm on R^n a finite set of points in R^n
??
quasi

