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Topic: smallest enclosing polygon
Replies: 1   Last Post: Apr 21, 2006 9:09 AM

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Mary Krimmel

Posts: 629
Registered: 12/3/04
Re: smallest enclosing polygon
Posted: Apr 21, 2006 9:09 AM
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Are the points to be contained in the perimeter of the polygon, or
are some of the points in the interior?
Is a half moon not a semi-circle, which is convex?

At 03:23 PM 4/20/06, you wrote:

>The problem now is - what do you mean by smallest?
>Is it smallest area (but perhaps longest perimeter?
>
>I think you might end up with a ragged 'star shaped' polygon which
>is 'smallest in area'.
>In fact, smallest in area might have area zero (just a path, covered twice).
>
>I am not sure the question is well posed yet!
>
>walter
>
>On 20-Apr-06, at 3:34 PM, Steffen Koehler wrote:
>
>Hello,
>
>I have a set of 2d points. I search an algorithm that creates an
>polygon which contains all points. The simplest way is the
>construction of an convex hull. But when I have an set looks like an
>half moon, I need an polygon which looks like the half moon contour.
>
>thanks in advance
>Steffen
>
>
>
>
>
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