On Sat, Jul 7, 2012 at 5:45 AM, Tom Browder <tom.brow...@gmail.com> wrote: > On Fri, Jul 6, 2012 at 10:06 PM, Matt Shepit <mshe...@gmail.com> wrote: >> Hi Chris, >> >> I think what you have described would only work if the sketch described a >> region that was strictly convex, which is a rather large restriction... > > I believe that if you think of positive and negative areas it may > work. Each "triangle" is formed by either clockwise or > counterclockwise movement to the next vertex. If we consider > counterclockwise movement as positive then the sum of all the fans, in > the limit, should be the area.
In fact, I think that's essentially the principle behind the planimeter such as used by surveyors and real estate offices to measure land areas (see blurb on Green's Theorem: <http://en.wikipedia.org/wiki/Green's_theorem>). Cheers! -Tom ------------------------------------------------------------------------------ Live Security Virtual Conference Exclusive live event will cover all the ways today's security and threat landscape has changed and how IT managers can respond. Discussions will include endpoint security, mobile security and the latest in malware threats. http://www.accelacomm.com/jaw/sfrnl04242012/114/50122263/ _______________________________________________ BRL-CAD Developer mailing list brlcad-devel@lists.sourceforge.net https://lists.sourceforge.net/lists/listinfo/brlcad-devel
