Your skill will accomplishwhat the force of many cannot PerlMonks

### Re^2: Polygon Creation -- Request for Algorithm Suggestions

by golux (Chaplain)
 on Nov 23, 2017 at 00:43 UTC ( #1204095=note: print w/replies, xml ) Need Help??

Thanks, LanX,

I agree with you that what I want is a "smallest convex hull". I'll see if I can get my head around the math involved.

say  substr+lc crypt(qw \$i3 SI\$),4,5
• Comment on Re^2: Polygon Creation -- Request for Algorithm Suggestions

Replies are listed 'Best First'.
Re^3: Polygon Creation -- Request for Algorithm Suggestions (updated)
by LanX (Cardinal) on Nov 23, 2017 at 14:43 UTC
> I agree with you that what I want is a "smallest convex hull".

Looking at the other answers I'm not sure anymore. A convex hull means a banana shape would be represented as a semicircle.

You seem to want a tight (not necessarily convex) vector graphic enclosing a sprite.

I think you could achieve this by improving the convex hull (by replacing long edges with concave triangles until all edges are sufficiently "short" or "tight")

Another problem I see are non-connected segments/territories . The shape of the USA would look very different if Alaska and Hawaii were included into just one hull ...

##### update

Pointing to the next problem There is no unique solution for a concave polygon

So starting from a convex hull and improving it till criteria are met is sensible.

Cheers Rolf
(addicted to the Perl Programming Language and ☆☆☆☆ :)
Wikisyntax for the Monastery

One more idea

> could achieve this by improving the convex hull

take this "banana", the asterisks * are corners of the convex hull but the dots are not approached.

```

* a

*
.  .
.  *
.
.  *
.
. *

* b

Now starting from the edge a-b you could construct a "convex" streak from a to b which keeps all other points "outside", just using the same algorithm like before and inverting the orientation.

Saying so I'm pretty sure there are already ready to use algorithms which do this in a time efficient way...

Cheers Rolf
(addicted to the Perl Programming Language and ☆☆☆☆ :)
Wikisyntax for the Monastery

Re^3: Polygon Creation -- Request for Algorithm Suggestions
by LanX (Cardinal) on Nov 23, 2017 at 09:33 UTC
I can't post images here but I came around this wikipedia article which should be of help understanding how the do product helps identifying distance and orientation of a point in respect to an edge Scalar_projection

Cheers Rolf
(addicted to the Perl Programming Language and ☆☆☆☆ :)
Wikisyntax for the Monastery

##### update

Create A New User
Node Status?
node history
Node Type: note [id://1204095]
help
Chatterbox?
and the web crawler heard nothing...

How do I use this? | Other CB clients
Other Users?
Others romping around the Monastery: (3)
As of 2020-11-26 01:38 GMT
Sections?
Information?
Find Nodes?
Leftovers?
Voting Booth?

No recent polls found

Notices?