Re: computing the area inside a contour plot

*To*: mathgroup at smc.vnet.net*Subject*: [mg57615] Re: [mg57580] computing the area inside a contour plot*From*: "Caffa Vittorio Dr." <Caffa at iabg.de>*Date*: Thu, 2 Jun 2005 05:16:51 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

The following function can be used to compute the area of a polygon: PolygonArea::usage = "PolygonArea[{pt1, pt2, ...}] gives the area of a polygon. The area is defined to be positive if the points are arranged in a counterclockwise order."; PolygonArea[pnts : {{_, _} ..}] := Module[{x, y}, {x, y} = Transpose[pnts]; 1/2Total[x RotateLeft[y] - RotateLeft[x]y]] PolygonArea[{{0, 0}, {4, 0}, {3, 2}}] 4 See also: http://mathworld.wolfram.com/Polygon.html Cheers, Vittorio >-----Original Message----- >From: I. I. [mailto:ibrahiim at email.uc.edu] To: mathgroup at smc.vnet.net >Sent: Wednesday, June 01, 2005 12:03 PM >Subject: [mg57615] [mg57580] computing the area inside a contour plot > >hi, > >I have a plot of data points on a set of x and y coordinate axes. These >data points form a contour (it sort of looks like a "blob" of points). I >would like to compute the area inside this contour using Mathematica. Any >help would be really appreciated. > > >Thank you, > >I. I.