Actually,  I think that the survey on "alpha shapes" available from:

        http://www.cs.duke.edu/~edels/Surveys/

would be more closely aligned with what Michael was interested in...


url:    www.econ.uiuc.edu/~roger                Roger Koenker
email   rkoen...@uiuc.edu                       Department of Economics
vox:    217-333-4558                            University of Illinois
fax:    217-244-6678                            Champaign, IL 61820


On Jan 20, 2009, at 6:06 PM, David Winsemius wrote:

The OP was asking whether concave hulls have been implemented. He wasn't very helpful with his link giving the example, since it was to the "outside" of a frame-based website. Perhaps this link (see the bottom of that page) will be more helpful:

http://get.dsi.uminho.pt/local/results.html

It has been discussed (briefly) in r-help:
http://finzi.psych.upenn.edu/R/Rhelp02a/archive/75574.html

Some of the material in Loader's "Local Regression and Likelihood" regarding classification looks potentially applicable.

When first I saw this question I expected that one of the r-sig-Geo folks would have a ready answer. Perhaps a follow-up there would be a reasonable next step?

--
David Winsemius

On Jan 20, 2009, at 6:37 PM, Charles Geyer wrote:

Message: 64
Date: Mon, 19 Jan 2009 15:14:34 -0700
From: Greg Snow <greg.s...@imail.org>
Subject: Re: [R] Concave Hull
To: Michael Kubovy <kub...@virginia.edu>, r-help
        <r-help@r-project.org>
Message-ID:
        <b37c0a15b8fb3c468b5bc7ebc7da14cc61c8360...@lp-exmbvs10.co.ihc.com>
Content-Type: text/plain; charset="us-ascii"

I don't know if it is the same algorithm or not, but there is the function "chull" that finds the convex hull.

Also the R function "redundant" in the contributed package "rcdd" efficiently finds convex hulls in d-dimensional space for arbitrary d (chull only does
d = 2).  See Sections 4.2 and 5.2 of the rcdd package vignette.

Hope this helps,

--
Gregory (Greg) L. Snow Ph.D.
Statistical Data Center
Intermountain Healthcare
greg.s...@imail.org
801.408.8111


-----Original Message-----
From: r-help-boun...@r-project.org [mailto:r-help-boun...@r-
project.org] On Behalf Of Michael Kubovy
Sent: Saturday, January 17, 2009 9:49 AM
To: r-help
Subject: [R] Concave Hull

Dear Friends,

Here is an algorithm for finding concave hulls:
http://get.dsi.uminho.pt/local/

Has anyone implemented such an algorithm in R?

RSiteSearch('concave hull') didn't reveal one (I think).

_____________________________
Professor Michael Kubovy
University of Virginia
Department of Psychology
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        P.O.Box 400400, Charlottesville, VA 22904-4400
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        Gilmer Hall, Room 102, McCormick Road, Charlottesville, VA 22903
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