[SciPy-user] Carateristic distance in a cloud of points

Gael Varoquaux gael.varoquaux@normalesup....
Sat Feb 24 13:42:00 CST 2007

I have a cloud of points (for instance given as a (n,3) shaped array,
with columns formed by the x, y and z column vectors).

I would like to find the mean distance in this cloud of points. I do not
need an exact value, I am just interested in a typical distance.

I could do it in a brute force way:

from scipy import *
x = arange(1, 5)

points = c_[x, x, x]
diffs = abs(points[newaxis, :] - points[:, newaxis])
dists = sqrt(diffs[..., 0]**2 + diffs[..., 1]**2 + diffs[..., 2]**2).ravel()
dists = dists[dists>0]

This is actually not as ugly and slow as I originaly thought.

Are there any better ways of doing this ?



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