Re: Distance from point to set
- To: mathgroup at smc.vnet.net
- Subject: [mg55307] Re: Distance from point to set
- From: "Jens-Peer Kuska" <kuska at informatik.uni-leipzig.de>
- Date: Sat, 19 Mar 2005 04:45:09 -0500 (EST)
- Organization: Uni Leipzig
- References: <d1eblq$ek7$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Hi,
distanceToSet[pnt_, pset_] := Min[Sqrt[#.#] &[# -
pnt] & /@ pset]
and
pointSet = Table[Random[], {10}, {2}];
pnt = {-2, 2};
distanceToSet[pnt, pointSet]
Regards
Jens
"Piotr Kowalski" <pkowalsk at ibspan.waw.pl> schrieb
im Newsbeitrag news:d1eblq$ek7$1 at smc.vnet.net...
> Hello,
>
> I would like to compute distance d(x,A) from a
> point 'x' to a set 'A',
> (all in R^n, where n=2 or n=3) that is:
>
> d(x,A) = min ||x - a|| (forall a in A)
> where: n=2 or n=3,
> x is point in R^n, A is subset of R^n
> || || is norm (euclidean, max, etc).
>
> Can I find Mathematica function or package for
> such problem ?
>
> Thank you in advance,
> P. Kowalski
>