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Re: Decision whether point lies within closed contour

  • To: mathgroup at smc.vnet.net
  • Subject: [mg131842] Re: Decision whether point lies within closed contour
  • From: Narasimham <mathma18 at gmail.com>
  • Date: Wed, 16 Oct 2013 05:00:16 -0400 (EDT)
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> On Oct 9, 2013, at 2:10 AM, "Dr. Robert Kragler"
> Does an algorithm or even a Mathematica procedure
> exist to decide whether a points is located inside or
> outside a closed contour resp. closed polygonal line?

In the particular case of a continuous contour curve having equation f(x,y)= 0, the point is (outside, on, inside) of contour depending on whether:
f(x,y) is ( > 0, = 0 or  < 0 ).

Narasimham



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