RE: mathematical area of closed vector path
RE: mathematical area of closed vector path
- Subject: RE: mathematical area of closed vector path
- From: Jeff Laing <email@hidden>
- Date: Tue, 25 Jan 2005 13:55:06 +1100
> 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).
We do it by brute force.
First, imagine that its all straight line segments. Calculate the area using
the algorithm here:
http://astronomy.swin.edu.au/~pbourke/geometry/polyarea/
Next iterate through each segment that is an arc, compute the area of the
subtended sector, then subtract or add that (depending on whether its
concave or convex)
http://mathforum.org/dr.math/faq/formulas/faq.circle.html
Jeff Laing <email@hidden>
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