3D Density

This plugin will compute the density of objects in a image based on distance analysis.

The NbNeighbors parameter will determine the number of closest neighbours to compute from each pixel. The distances are sum weighted using this formula :

\(\sum_{\forall i}{e^{-{dist_i}^2*C}}\)

where \(dist_i\) is the distance to the \(i_{th}\) closest point, and \(C={{1} \over{2*\sigma^2}}\) .

The parameter radius is assimilated to σ and determines roughly the radius of expansion from the spot centre.

Density computation for the spots in top left, with increasing radius 5, 10 and 15.