Re: How can I find the closest distance between a specified point and an interpolation curve?

*To*: mathgroup at smc.vnet.net*Subject*: [mg27273] Re: How can I find the closest distance between a specified point and an interpolation curve?*From*: Erich Mueller <emuelle1 at uiuc.edu>*Date*: Sat, 17 Feb 2001 03:30:45 -0500 (EST)*Organization*: University of Illinois at Urbana-Champaign*References*: <96is0i$dg6@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

Here is a brute force way: First calculate the square of the distance from each point in "Pointset" to the given point distset = (# - pt).(# - pt) & /@ Pointset The result is {50, 52, 85, 101, 170, 293, 409, 1274} So the closest point is {0,0}. Erich On 16 Feb 2001, liwen liwen wrote: > Dear friends, > Here is a curve that is produced by > Interpolation[PointSet] function, > Pointset={{0,0},{1,1},{3,4},{4,5},{6,8},{7,12},{8,15},{12,30}}. > > Fc=Interpolation[PointSet]. > the specified point is: > pt={5,-5} > I want to find the closest distance between the point > of pt and Fc ? > > Please help! > > Best regards, > Liwen 2/15/2001 > > __________________________________________________ > Do You Yahoo!? > Get personalized email addresses from Yahoo! Mail - only $35 > a year! http://personal.mail.yahoo.com/ > >