On Jul 7, 2012, at 8:34 AM, Tom Browder wrote: > 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>).
The first link I referenced earlier [1] based on tessellation into trapezoidal regions is effectively built on the same principle where you use Seidel's algorithm to systematically chop up into bounded plane regions (Green's theorem, simple area D in the article). The idea was to basically do the chop up, retaining cuves on the sides of the trapezoid if needed, then sum up those regions calculating the area under the curves. [1] http://www.cs.unc.edu/~dm/CODE/GEM/chapter.html That should be a robust and exact approach. The difficulty will probably be chopping up a bezier into differentiable segments without approximating. Cheers! Sean ------------------------------------------------------------------------------ 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
