On Fri, Nov 23, 2012 at 4:14 AM, Aren Cambre <a...@arencambre.com> wrote: > I'm able to reproduce reliably here. I'll email you details privately.
Thanks. I can confirm that v.kernel takes a long time in GRASS 6 with the settings provided by you. It does not crash, however. I can speed up v.kernel in GRASS 6 to complete in 10 minutes instead of 16+ hours, but I am not sure if this fix can/will go into GRASS 6.4 because by now only bugs should be fixed. Markus M > > Aren > > > On Thu, Nov 22, 2012 at 9:02 AM, Markus Metz <markus.metz.gisw...@gmail.com> > wrote: >> >> On Sat, Nov 17, 2012 at 4:06 PM, Aren Cambre <a...@arencambre.com> wrote: >> > I have a dataset of just over 700,000 incidents that happened in >> > square-ish >> > Texas county that's about 30 miles on each side. >> > >> > Here's the parameters reported by v.kernel as it's executing: >> > >> > STDDEV: 1000.000000 >> > RES: 111.419043 ROWS: 458 COLS: 447 >> > >> > Writing output raster map using smooth parameter=1000.000000. >> > >> > Normalising factor=6482635.018778. >> > >> > >> > I am running this on a Windows 7 x64 machine with 8 GB RAM and an Intel >> > Core >> > i7 Q720 1.6 GHz with 4 physical cores. I notice that it's not >> > multithreaded, >> > only using 1 core. >> > >> > It takes about 16 hours to complete. Is this correct? I'd like to use >> > this >> > on a dataset with closer to 5 million records, and I'm really concerned >> > how >> > long it may take. >> >> The time required by v.kernel is a function of the number of cells and >> the input parameter stddeviation. The larger any of these values is, >> the more time v.kernel will need. Nevertheless, I think that the 16+ >> hours are not correct. I tested with a vector with 3 million points >> for a grid with 2700 rows and 1087 columns, magnitudes larger than the >> grid used by you. v.kernel completes in just over one minute. >> >> > >> > I posted my question about the 16+ hours at >> > >> > http://gis.stackexchange.com/questions/41058/how-do-i-compute-v-kernel-maps-in-less-than-16-hours/. >> > Bill Huber, who si apparently knowledgeable about kernel density >> > calculations in general, posted a response, and he felt like a kernel >> > density map shouldn't take much time at all. But digging more deeply, >> > turns >> > out he had come up with a kernel density calculation method over a >> > decade >> > ago using Fourier transforms. See >> > http://www.directionsmag.com/features/convolution/129753 and the next >> > two >> > articles linked to it (they are short articles). Apparently this >> > transforms >> > it from an O(n^2) problem to an O(n ln n) complexity problem. >> >> The approach of Bill Huber is raster-based, not vector based, making >> some things easier, at the cost of precision. The coordinate >> precision, however, is only needed for kernel functions other than >> uniform. In GRASS, you could get something like a raster-based density >> map by >> >> - exporting the points with v.out.ascii >> - re-importing the points with r.in.xyz method=n to get the number of >> points per cell >> - running a neighborhood analysis using a circular window with >> r.neighbors method=sum -c >> >> Optionally you could use the gauss option of r.neighbors to get an >> equivalent to v.kernel kernel=gaussian >> >> HTH, >> >> Markus M >> >> > >> > I inspected v.kernel's main.c >> > >> > (http://trac.osgeo.org/grass/browser/grass/trunk/vector/v.kernel/main.c), >> > and looks like v.kernel uses an output-centric method (using Bill's >> > wording) >> > of calculating the output, which seems like O(n^2) complexity. >> > >> > So I guess what I'm getting at is it appears to me that the algorithm >> > behind >> > GRASS GIS's v.kernel is straightforward but is a greedy algorithm >> > (http://en.wikipedia.org/wiki/Greedy_algorithm), which is fine, but it >> > make >> > take a while to execute. Is this true? >> > >> > Is there not spatial indexing I could add to the dataset? I've done >> > various >> > Google searches on that and can't come up with anything clear. >> > >> > Aren >> > >> > _______________________________________________ >> > grass-user mailing list >> > grass-user@lists.osgeo.org >> > http://lists.osgeo.org/mailman/listinfo/grass-user >> > > > _______________________________________________ grass-user mailing list grass-user@lists.osgeo.org http://lists.osgeo.org/mailman/listinfo/grass-user