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Re: Cocoa-dev Digest, Vol 2, Issue 117

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Re: Cocoa-dev Digest, Vol 2, Issue 117

Subject: Re: Cocoa-dev Digest, Vol 2, Issue 117
From: Ken Turkowski <email@hidden>
Date: Mon, 24 Jan 2005 21:15:36 -0800

How would one go about figuring out the mathematical area (xxx units
squared) of a closed vector path?

Note: These paths will not be simple little boxes or circles.  Think
complex paths--composed of mulitple line segments and arc segments
(both convex and concave).


n-1
sum ( ( x[i+1] - x[i] ) * ( y[i+1] + y[i] ) * 0.5 )
i = 0

where the indices are taken modulo n.

--
Ken Turkowski                    email@hidden
Engineer/Scientist   http://www.worldserver.com/turk/
Independent Consultant      Industrial Grade Software
Computer Graphics     2D     3D     Immersive Imagery
Photo-mosaicing       Panoramas       Computer Vision
Applied Mathematics  Numerical Analysis  Optimization

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