[postgis-devel] More Cascade Union Adventures
Martin Davis
mbdavis at refractions.net
Wed Aug 13 15:40:57 PDT 2008
I'm pretty sure that OJ is *not* calling CascadeUnion, but is using a
special-purpose, similar algorithm developed by Michael Michaud. I
just looked at the OJ src code to confirm, and this looks to be the
situation. I think he tested his code against the JTS CascadedUnion and
decided that the JTS algorithm is still faster.
I just tried the OJ Union as well as the JTS CascadedUnion on the
32278-feature dataset. Results were:
OJ Union: 27 sec
JTS CascUnion: 17.7 sec
So JTS still wins, but they're not too far apart.
Just for grins, can you send me your Mass towns dataset to try?
Obe, Regina wrote:
>
> Martin,
>
> Just loaded that plugin - unless I put it in the wrong folder. - it
> just seemed to create an option called aggregation-options under
> plugins which seems to require two layers and does union, count
> between the 2 layers. So nope doesn't sound like Cascaded union and
> didn't seem to change anything with the union function.
>
> If OpenJump union function isn't doing cascaded union, then what is
> that count down thing for. Doing the 30,000 it displays something
> like this
>
> Computing Union
> 1/8 (32,278)
> 2/8 (8070)
> 3/8 ... /2018
> 86/505
> 1/127
> 6/8 (2/32)
> 8/8 (2/3)
> 3/3 (8/8)
>
> I also thought its speed of unioning of Mass towns was pretty impressive.
>
> Thanks,
> Regina
> -----Original Message-----
> From: postgis-devel-bounces at postgis.refractions.net on behalf of Obe,
> Regina
> Sent: Wed 8/13/2008 5:40 PM
> To: PostGIS Development Discussion
> Subject: RE: [postgis-devel] More Cascade Union Adventures
>
> I assumed it was since it was counting down like in some sort of
> upside down pyramid
>
> 500
> 255
> 10
> :
> :
>
> So it seemed like it was doing some sort of division of the
> geometries. I'll give the below
> a try. Maybe I misunderstood what that counting was for.
>
>
>
> -----Original Message-----
> From: postgis-devel-bounces at postgis.refractions.net on behalf of
> Martin Davis
> Sent: Wed 8/13/2008 4:49 PM
> To: PostGIS Development Discussion
> Subject: Re: [postgis-devel] More Cascade Union Adventures
>
> Yep, I don't Hausdorff distance is available in very many places. Pity,
> because it is a very useful metric for comparing geometry. The full
> Hausdorff distance is quite challenging to implement, but I have made a
> VertexHausdorffDistance approximation which is just as useful in most
> situations, and is a lot simpler to implement (and faster to run).
>
> By the way, are you sure that OpenJUMP is using CascadedUnion? AFAIK it
> didn't in the past... Michael Michaud has just released (today!) an
> extension which I think does use CascadedUnion - so you might want to
> try that.
>
> http://geo.michaelm.free.fr/OpenJUMP/resources/aggregation-0.1.jar
>
> When I did the original testing with the 30K polygon dataset that you're
> using, I was getting times of around 20 sec using CascadedUnion...
>
>
>
> Obe, Regina wrote:
> >
> > Martin,
> > Pardon my ignorance.
> >
> > I don't see a Hausdorff distance in OpenJump or maybe it goes by a
> > more verbose name and the descriptions I read about Hausdorff
> > distances are greek to me.
> >
> > Well the Mass town test seems to pass my trivial test exercises. It
> > looks like massachusetts with no visually apparent gaps, has the same
> > number points in all cases, similar area
> >
> > both num points - 476026
> > both num geometries - 694
> > area (ST_CascadeUnion - 2.094208570266725E10)
> > area (JTS - 2.0942085702666965E10)
> >
> >
> > -----Original Message-----
> > From: postgis-devel-bounces at postgis.refractions.net on behalf of
> > Martin Davis
> > Sent: Wed 8/13/2008 11:51 AM
> > To: PostGIS Development Discussion
> > Subject: Re: [postgis-devel] More Cascade Union Adventures
> >
> > I wouldn't expect to have the results be exactly equal - the union code
> > is likely to be input-order dependent.
> >
> > And the difference in areas doesn't seem surprising either - it's way
> > down in the small decimal places, which would occur even with slight
> > differences in the geometry.
> >
> > A more revealing test would be to compute the Hausdorff distance between
> > the union boundaries - that would show if they differed by very much,
> > and where. PostGIS doesn't have this - I can't remember whether
> > OpenJUMP does or not. JEQL has this operation, too.
> >
> > Obe, Regina wrote:
> > > Now testing all including JTS 1.9.0 (OpenJump) on a Win XP runing
> > > PostgreSQL 8.3.1, PostGIS 1.3.3, Geos 3.0.0. It appears using array
> > > trumps all, Cascade aggregate union is a vast improvement over
> ST_Union
> > > (ST_Union I didn't bother testing of course because it owuld never
> > > finish on this test), but evidentally the array accum calls give a
> major
> > > penalty.
> > >
> > > I found some things I found a bit possibly disturbing. Maybe its just
> > > the nature of unioning in different orders. I compared all 3 outputs
> > > and none of them are binary equal or even ST_Equals for that matter.
> > >
> > > However all 3 give same basic stats using OpenJump - e.g
> > > All result in = 32972 pts
> > > components = 10
> > > lengths and areas are off by a bit
> > > length = agg cascade union = 17.262684721407624, k nested union =
> > > 17.262684721407688,
> > > jts = 17.262684721406348
> > >
> > > Should I be bothered by any of these or are they just rounding errors?
> > >
> > > --Other odd thing is that the array approach is not as good as it
> was on
> > > my other machine bu the aggregate union performs better. I'll just
> > > chuck this off to different postgresql version, and memory settings.
> > >
> > > Thanks,
> > > Regina
> > >
> > >
> > > -- 209,563 | 198,391 ms - SELECT 198391/1000.00/60 = 3.31 minutes
> > >
> > > SELECT ST_CascadeUnion(the_geom)
> > > FROM (SELECT the_geom FROM sample_poly) As foo;
> > >
> > > -- 48,594 ms | 47,688 ms = 48 secs
> > > SELECT st_unitecascade_garray_sort(ARRAY(SELECT the_geom FROM
> > > sample_poly));
> > >
> > > -- 74,515 ms | 74,922 ms = SELECT 74515/1000.00/60 = 1.24 minutes
> > > SELECT ST_Union(the_geom) AS the_geom, 'nested union'
> > > FROM (
> > > SELECT min(id) AS id, ST_Union(the_geom) AS the_geom
> > > FROM (
> > > SELECT min(id) AS id, ST_Union(the_geom) AS the_geom
> > > FROM (
> > > SELECT min(id) AS id, ST_Union(the_geom) AS the_geom
> > > FROM (
> > > SELECT min(id) AS id, ST_Union(the_geom) AS the_geom
> > > FROM (SELECT the_geom, id FROM sample_poly) As foo
> > > GROUP BY round(id/10)
> > > ORDER BY id) AS tmp1
> > > GROUP BY round(id/100)
> > > ORDER BY id) AS tmp2
> > > GROUP BY round(id/1000)
> > > ORDER BY id) AS tmp3
> > > GROUP BY round(id/10000)
> > > ORDER BY id) AS tmp4
> > > GROUP BY round(id/100000);
> > >
> > >
> > > -- Open Jump JTS 1.9.0 Win XP
> > > --After loading running union across the whole set
> > > --1.14 minutes
> > > --Loading database query
> > > SELECT ST_AsBinary(the_geom)
> > > FROM sample_poly;
> > >
> > > -----------------------------------------
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> > >
> >
> > --
> > Martin Davis
> > Senior Technical Architect
> > Refractions Research, Inc.
> > (250) 383-3022
> >
> > _______________________________________________
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> > postgis-devel at postgis.refractions.net
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> >
> >
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>
> --
> Martin Davis
> Senior Technical Architect
> Refractions Research, Inc.
> (250) 383-3022
>
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--
Martin Davis
Senior Technical Architect
Refractions Research, Inc.
(250) 383-3022
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