Re: calculation of the distance between points (gold particles)

Posted by Kenneth Sloan on Mar 07, 2010; 1:27am
URL: http://imagej.273.s1.nabble.com/calculation-of-the-distance-between-points-gold-particles-tp3689065p3689070.html

On Mar 6, 2010, at 17:41 , Karsten Rodenacker wrote:

> Of course not. But if all distances should be calculated, what could be expected from such a measure?
>
> Karsten
>  

This is not often what most people want these days - but there are several long-established statistical
techniques which start with the measurement of ALL the distances between ALL pairs of points.  Delaunay triangulation
is a relatively new technique (gaining favor sometime in the 1980's or so - during the 1980's I can recall
using both Voronoi/Delaunay based measurements AND all-pairs methods to analyze the packing geometry of photoreceptors in human retina).

Given a histogram of all-pairs distances, it is possible to make inferences about the distances involved in the FIRST ring of neighbors - and also the second, and the third - depending on how regular the arrangement is.


--
Kenneth Sloan
[hidden email]