Visualization of K-Convexity.

  • #1

Main Question or Discussion Point

Hey!

Can anyone help me with visualizing this concept or explaining it in more intuitive terms?
attachment.php?attachmentid=50151&stc=1&d=1345814941.png
:

thanks!
 

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Answers and Replies

  • #2
chiro
Science Advisor
4,790
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Hey Constantinos.

This PDF describes the visual intuition for K-Convex polygons with the following:

Clearly, a polygon P is k-convex if every line segment with endpoints in P crosses at most 2(k − 1) edges of P.
I'm going to make a guess and say that this holds for a general continuous object in n-dimensions if the following holds where the edges just translate into n-dimensional surface itself.

Hopefully the PDF might help you out.
 

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