Wouldn't it be easier and more accurate to use the convex hull of the polygon instead of the minimum enclosing ball? The CH will have smaller area (i.e. be a tighter bound on the area covered by the polygon), so it seems like it would give a more accurate basis for comparison.

Lee Meilleur wrote:
Has anyone calculated the Roeck test using PostGIS?  This is an area based 
measure that computes the ratio of the area of a polygon to the area of the 
minimum enclosing circle for the polygon.  It's used to measure compactness of 
districts for redistricting applications, basically a way to test for 
gerrymandering.  Thanks.

Lee Meilleur
LCC-GIS Office
Minnesota Legislature
100 Rev. Dr. MLK Jr Blvd.
55 State Office Building
St. Paul, MN 55155
651.296.0098  Fax: 651.297.3697
[EMAIL PROTECTED]
http://www.gis.leg.mn


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Martin Davis
Senior Technical Architect
Refractions Research, Inc.
(250) 383-3022

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