most recent 30 from http://mathoverflow.net 2013-06-19T21:33:33Z http://mathoverflow.net/feeds/question/27838 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/27838/random-cities-scatter-cluster-parameters-ca-point-set-then-randomgenc denis 2010-06-11T17:09:04Z 2010-06-11T17:09:04Z

<p>An example: given the coordinates of say 1000 cities in the USA, are there a few parameters which describe how they scatter / cluster,</p> <pre><code>C = clusterparams( cities ) </code></pre> <p>which can then drive a random point generator</p> <pre><code>randomcities = randomgen( C ) </code></pre> <p>so that</p> <pre><code>clusterparams( randomcities ) ~ C </code></pre> <p>i.e. the random cities scatter/cluster "like" the real cities ?<br> In general, I have N points in (typically) R2 or R3, and want to generate synthetic data for kd* trees.</p>