Fascinating stuff...

Here's a couple of the Galton papers Stefan refers to.

http://www.comp.leeds.ac.uk/ontology/FOGI-WS/statements/Antony-Galton.pdf
http://www.latingeo.net/datos_latingeo/noticias_doc/108Polyhulls-Galton.pdf

He appears to be taking a psycho-computational approach to the problem. Interesting, but hard to see how this will translate into a concrete algorithm. (Although I guess the Duckham et al paper might have ideas on this).


There was a thread on this on the PostGIS a while back, I think. There's definitely some non-patented approaches out there. See this for instance:
http://n2.nabble.com/Concave-hull-of-a-set-of-points-(alphashapes)-td1880426.html#a1880426




Stefan Steiniger wrote:
Hi,

anothe recent artile by Matt Duckham on Concave Hulls. The draft (not the final version) is here:
http://www.geosensor.net/papers/duckham08.PR.pdf

But I am not sure if these authors will chare their code. More articles on that have been published by one of the authors - Anthony Galton. Furthermore if you read the stuff you will see that there is no unique solution.

stefan

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