On May 31, 2012, at 2:26 PM, R. Michael Weylandt wrote:

On Thu, May 31, 2012 at 11:23 AM, AMFTom <the.quiet.r...@gmail.com> wrote:
I have photographs of plots that look like so:

http://r.789695.n4.nabble.com/file/n4631960/Untitled.jpg

I need to divide it up so each circle has an equal area surrounding it. So into 20 equal segments, each of which contains a circle. Quadratcount is not sufficient because if I divide it up into 36 equal quadrats, some quadrats
do not contain one of the circles.

I must admit I found this a little confusing -- are you trying to
divide into twenty segments or 36? Also, what package does
quadratcount come from?

I'm guessing this might work better in an image processing/computer
vision program than in R.


The solution[1] requires a higher level of intelligence than is typical in ordinary clustering mechanisms. Maybe some sort of "symbolic geometry" program exists somewhere? There are really two levels of symmetry that need to be processed to come up with an approach that satisfies both constraints (equi-area-partition and all- area-included) . Agree it's not a statistical problem ... not was it offered in a manner that lent itself to testing an algorithmic solution.

--
David.

[1] Which is too large to fit into the margins of this posting.

Best,
Michael


I'm not even sure how to do it mathematically, let alone using R.

Can anyone help?

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David Winsemius, MD
West Hartford, CT

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