Hi Larry,

I don't know if this ratio is often used in geomatics, but I implemented it in a plugin available on the site :
https://sourceforge.net/projects/jump-pilot/files/p_%20More%20Plugins/OJ%20graph%20toolbox/

I called it circularity and defined it as an integer (where 100 means perfect circle) When I did it, my need was to recognize roundabout on a linear network, so that it does't work only on a polygon layer, but also on a linear network (where cycles are detected by the JGraphT functions, and transformed into polygons)
The plugin creates also a few other indicators.

Let me know if it's useful or if it has to be improved for your use-case.

Michaël

Le 27/04/2011 23:00, Larry Becker a écrit :
I had a need to classify polygon shapes into general categories such as roads and buildings, and I though it might be possible to use a "thinness" factor calculated using the area and perimeter. After fooling around with it for a while and not getting the answer, I goggled and found the following solution:

lCircularity ratio: the ratio of the area of the shape to the area of a circle (the most compact shape) having the same perimeter. (area-perimeter ratio)

M = ( 4 * Pi * Area of Polygon) / (Perimeter of Polygon)^2

For a circle, the ratio is one; for a square, it is π / 4; for an infinitely long and narrow shape, it is zero.

I found it at: http://ce.sharif.edu/~alamgir/ <http://ce.sharif.edu/%7Ealamgir/>

Further searches indicate that this method of classification may be relatively unknown. Does anyone have knowledge in this area?

regards,

Larry Becker


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