Shouldn't step 3 in your algorithm description:
|S(e)| <= |S(f)|
read
|S(e)| > |S(f)|
? (Not having been a Math major, of course, could lead me to misinterpret "|S(t)|", which here I'm interpreting as "the size of set t".)
Anyway, I had intended to suggest an algorithm dealing with sorting based on the lengths of line segments, but I now realize that's probably not much use in this case (since vroom wants to find the clumps, not necessarily a point). And reading further down the page, I like Ntromda's idea, but I, like him/her, wouldn't know how to begin coding it (without thinking about it for a long while...).

In reply to Re: Re: Sorting by geographical proximity / clumping groups of items based on X and Y by t'mo
in thread Sorting by geographical proximity / clumping groups of items based on X and Y by vroom

Title:
Use:  <p> text here (a paragraph) </p>
and:  <code> code here </code>
to format your post, it's "PerlMonks-approved HTML":


  • Posts are HTML formatted. Put <p> </p> tags around your paragraphs. Put <code> </code> tags around your code and data!
  • Titles consisting of a single word are discouraged, and in most cases are disallowed outright.
  • Read Where should I post X? if you're not absolutely sure you're posting in the right place.
  • Please read these before you post! —
  • Posts may use any of the Perl Monks Approved HTML tags:
    a, abbr, b, big, blockquote, br, caption, center, col, colgroup, dd, del, details, div, dl, dt, em, font, h1, h2, h3, h4, h5, h6, hr, i, ins, li, ol, p, pre, readmore, small, span, spoiler, strike, strong, sub, summary, sup, table, tbody, td, tfoot, th, thead, tr, tt, u, ul, wbr
  • You may need to use entities for some characters, as follows. (Exception: Within code tags, you can put the characters literally.)
            For:     Use:
    & &amp;
    < &lt;
    > &gt;
    [ &#91;
    ] &#93;
  • Link using PerlMonks shortcuts! What shortcuts can I use for linking?
  • See Writeup Formatting Tips and other pages linked from there for more info.