[pgrouting-users] an implementation of beta skeletons, relative neighborhood graph and gabriel graphs

Rémi Cura remi.cura at gmail.com
Thu Mar 24 08:14:58 PDT 2016


+1 for using pgRouting as a graph tools rather than traffic tool
Cheers,
Rémi-C

2016-03-24 16:07 GMT+01:00 Stephen Woodbridge <woodbri at swoodbridge.com>:

> Hi Dave,
>
> I just looked at the wikipedia pages and these analysis look very
> interesting. My primary focus is on vehicle routing so I'm not sure I'm a
> good judge of their usefulness, but pgRouting has been used for Max Flow
> Analysis and other not vehicle routing problems.
>
> I've cc'd this to the user list to get a wider audience and see if there
> is interest from other users in this kind of analysis.
>
> Also if you put these in a github repository, I believe we have a page in
> our wiki that points to other projects that might be useful to pgRouting
> users. See Friends of pgRouting:
> https://github.com/pgRouting/pgrouting/wiki#friends-of-pgrouting
>
> -Steve
>
> On 3/24/2016 10:51 AM, Stephen Woodbridge wrote:
>
>>
>>
>>
>> -------- Forwarded Message --------
>> Subject:     Fwd: [pgrouting-dev] an implementation of beta skeletons,
>> relative neighborhood graph and gabriel graphs
>> Date:     Tue, 22 Mar 2016 09:21:44 +0000
>> From:     dave.potts at pinan.co.uk
>> To:     woodbri at swoodbridge.com
>>
>>
>>
>> Hi Steve,
>>
>> Sorry to trouble you.
>>
>> I email this to the development email list and did not get a response.
>>
>> I know that Beta skelton graphs are not a standard routing style
>> function but its the sort otf thing I use in my research which is all
>> about network anaylsis.  I just wondered if anybody else did.
>>
>> Dave.
>>
>> -------- Forwarded message -------
>> From: dave.potts at pinan.co.uk <mailto:dave.potts at pinan.co.uk>
>> To: pgrouting-dev at lists.osgeo.org <mailto:pgrouting-dev at lists.osgeo.org>
>> Sent: 19 March 2016 17:28
>> Subject: [pgrouting-dev] an implementation of beta skeletons, relative
>> neighborhood graph and gabriel graphs
>> Is there any interest in any off the above graph forms in the routing
>> library?
>>
>> See
>> https://en.wikipedia.org/wiki/Beta_skeleton
>> https://en.wikipedia.org/wiki/Relative_neighborhood_graph
>> https://en.wikipedia.org/wiki/Gabriel_graph
>>
>> I have implementation with the following method signatures
>>
>> CREATE OR REPLACE FUNCTION pgr_beta_skelton(sql text, beta float,OUT id
>> integer ,OUT id1 integer , OUT id2 integer)
>>     RETURNS SETOF RECORD AS
>>       '$libdir/librouting-2.1', 'dir_graph_beta_skelton'
>>       LANGUAGE c STABLE STRICT;
>>
>> CREATE OR REPLACE FUNCTION pgr_relative_neigborhood_graph(sql text ,OUT
>> id integer ,OUT id1 integer , OUT id2 integer)
>>     RETURNS SETOF RECORD AS
>>       '$libdir/librouting-2.1', 'dir_graph_relative_neigborhood_graph'
>>       LANGUAGE c STABLE STRICT;
>>
>> CREATE OR REPLACE FUNCTION pgr_gabriel_graph(sql text ,OUT id integer
>> ,OUT id1 integer , OUT id2 integer)
>>     RETURNS SETOF RECORD AS
>>       '$libdir/librouting-2.1', 'dir_graph_gabriel_graph'
>>       LANGUAGE c STABLE STRICT;
>>
>> They all take an sql statement of the form
>>
>> select  st_makeline(v1.the_geom,v2.the_geom) as the_geom  from
>>    pgr_gabriel_graph('select id,st_x(the_geom) as x ,st_y(the_geom) as y
>> from tmp_table2'), tmp_table2 v1, tmp_table2 v2 where id1=v1.id and
>>    id2=v2.id;
>>
>> Ie the expect an set of objects with an id and a x and y coordinate
>>
>> In this example tmp_table functions as resource of data, and the above
>> statement returns a serries of id statements id refers to id of 1st x/y
>> node and the 2nd id refers to 2md x/y pair
>> eg
>> id  | id1 | id2
>> -----+-----+-----
>>      1 | 607 | 558
>>      2 | 606 | 542
>>      3 | 605 | 594
>>      4 | 605 | 520
>>      5 | 604 | 579
>>      6 | 604 | 525
>>      7 | 603 | 605
>>      8 | 603 | 594
>>      9 | 603 | 530
>>     10 | 602 | 580
>>     11 | 602 | 563
>>     12 | 601 | 537
>>     13 | 601 | 534
>>     14 | 600 | 523
>>     15 | 599 | 601
>>     16 | 599 | 522
>>     17 | 598 | 590
>>
>>
>> regards
>>
>> Dave.
>>
>>
>>
>>
>>
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