Memory usage with 1M of Polygons

Hi,

Using matplotlib I try to plot satellite observations, which consists of
roughly one million patches that are not gridded regularly.
I first collect the vertices (corner points of the observations) and
colors and then use PolyCollection and ax.add_collection to add these
patches to the figure.

On my 64bit Linux machine:
# 518400 patches will use >2Gb of memory
# 1M patches will use > 4Gb of memory
On a 32bit machine the memory is roughly half compared to 64bit.

My question: how can I plot more efficiently and use less memory?

An example script with random data is below.

System:
Debian Testing: kernel 2.6.32-5-amd64 x86_64 GNU/Linux
Python 2.6.6 (r266:84292, Dec 26 2010, 22:31:48)
matplotlib.__version__ = '1.0.0'

Best regards,

  Onet.

#!/usr/bin/env python

···

#
# Purpose : Show large use of memory when plotting
# large numbers of patches
#

import random

import matplotlib
matplotlib.use('AGG') # produce AGG graphics (o.a. PNG) by default
import matplotlib.pyplot as plt
import matplotlib.colors as colors
from matplotlib.collections import PolyCollection
from mpl_toolkits.basemap import Basemap

def test_polycollection (NLats, NLons):
    """ Test poly collections """

    fig = plt.figure()
    ax = fig.add_axes([0.1,0.1,0.8,0.8])
    figmap = Basemap (llcrnrlon=-180., llcrnrlat=-90,
                      urcrnrlon=180., urcrnrlat=90.,\
                      resolution='c', area_thresh=10000.,
                      projection='cyl')

    # Color map and min/max bounds
    cmap = plt.cm.jet
    vmin = 0
    vmax = 10

    # Arrays for the vertices and the colors
    Poly_Vertices = []
    Poly_Colors = []
    
    # add pixel to array of vertices and set a random color
    for LatNr in range (0, NLats):
        for LonNr in range (0, NLons, 2):

            # shift lon 1 point if odd for staggered grid
            if (LatNr % 2 == 0):
                # even
                ShiftLon = 0
            else:
                # odd
                ShiftLon = 1

            # calc coordinates for vertex storage
            x1,y1 = (359.*(ShiftLon + LonNr + 1)/(NLons+1) - 179.9,
                     179.*(LatNr )/(NLats+1) - 89.9)
            x2,y2 = (359.*(ShiftLon + LonNr + 2)/(NLons+1) - 179.9,
                     179.*(LatNr + 1)/(NLats+1) - 89.9)
            x3,y3 = (359.*(ShiftLon + LonNr + 1)/(NLons+1) - 179.9,
                     179.*(LatNr + 2)/(NLats+1) - 89.9)
            x4,y4 = (359.*(ShiftLon + LonNr )/(NLons+1) - 179.9,
                     179.*(LatNr + 1)/(NLats+1) - 89.9)

            # get RGB colors, cut off alpha.
            RandomValue = random.random() * vmax
            colorsgen = cmap ((RandomValue - vmin) / (vmax - vmin))[:3]

            # add the polygon vertices and the color to the array
            Poly_Vertices.append ([(x1,y1), (x2,y2), (x3,y3), (x4,y4)])
            Poly_Colors.append (colorsgen)

    # Create PolyCollection and add it to the axes
    print 'PolyCollection: number of elements: ', len (Poly_Colors)
    Data_PatchCollection = PolyCollection (Poly_Vertices,
                                           facecolor=Poly_Colors,
                                           edgecolor='black',
                                           linewidth=0)
    
    print 'add_collection'
    ax.add_collection (Data_PatchCollection)

    print 'add_collection done'

    # finish the plot by drawing coastlines
    figmap.drawcoastlines()

    plt.title ('PolyCollection on a map')
    fig.savefig ('polycol.png', dpi=300)
    plt.close()

    return
#
# End test_polycollection
#

if __name__ == "__main__":
    """ Test the memory size of matplotlib using poly
        collections.
        
        On a 64 bit linux machine the memory use is
        enormous when plotting large numbers of patches
        via matplotlib / PolyCollection.
        
        For 518400 patches matplotlib will use ~2Gb of
        memory. On a 32 bit Linux machine, the memory
        usage is roughly half.
        
        Can this be done more efficient?
                
        Debian Testing: Linux host 2.6.32-5-amd64 #1 SMP
              Wed Jan 12 03:40:32 UTC 2011 x86_64 GNU/Linux
        Python 2.6.6 (r266:84292, Dec 26 2010, 22:31:48)
        matplotlib.__version__ = '1.0.0'
    """

    # 129600 patches will use ~630Mb of memory (on 64bit Linux)
    #NLats=360
    #NLons=720

    # 259200 patches will use ~1Gb of memory (on 64bit Linux)
    #NLats=360
    #NLons=1440

    # 518400 patches will use ~2Gb of memory (on 64bit Linux)
    NLats=720
    NLons=1440
    
    #
    # test the memory size of using poly collections.
    test_polycollection (NLats, NLons)

Hi,

Using matplotlib I try to plot satellite observations, which consists of
roughly one million patches that are not gridded regularly.
I first collect the vertices (corner points of the observations) and
colors and then use PolyCollection and ax.add_collection to add these
patches to the figure.

On my 64bit Linux machine:
# 518400 patches will use>2Gb of memory
# 1M patches will use> 4Gb of memory
On a 32bit machine the memory is roughly half compared to 64bit.

My question: how can I plot more efficiently and use less memory?

If your data are on a quadrilateral mesh, as in your example, (or can be approximately mapped onto such a mesh) then pcolormesh should be very much more efficient both in time and in memory than making a PolyCollection.

Eric

···

On 03/11/2011 02:54 PM, onet wrote:

An example script with random data is below.

System:
Debian Testing: kernel 2.6.32-5-amd64 x86_64 GNU/Linux
Python 2.6.6 (r266:84292, Dec 26 2010, 22:31:48)
matplotlib.__version__ = '1.0.0'

Best regards,

  Onet.

#!/usr/bin/env python
#
# Purpose : Show large use of memory when plotting
# large numbers of patches
#

import random

import matplotlib
matplotlib.use('AGG') # produce AGG graphics (o.a. PNG) by default
import matplotlib.pyplot as plt
import matplotlib.colors as colors
from matplotlib.collections import PolyCollection
from mpl_toolkits.basemap import Basemap

def test_polycollection (NLats, NLons):
     """ Test poly collections """

     fig = plt.figure()
     ax = fig.add_axes([0.1,0.1,0.8,0.8])
     figmap = Basemap (llcrnrlon=-180., llcrnrlat=-90,
                       urcrnrlon=180., urcrnrlat=90.,\
                       resolution='c', area_thresh=10000.,
                       projection='cyl')

     # Color map and min/max bounds
     cmap = plt.cm.jet
     vmin = 0
     vmax = 10

     # Arrays for the vertices and the colors
     Poly_Vertices =
     Poly_Colors =

     # add pixel to array of vertices and set a random color
     for LatNr in range (0, NLats):
         for LonNr in range (0, NLons, 2):

             # shift lon 1 point if odd for staggered grid
             if (LatNr % 2 == 0):
                 # even
                 ShiftLon = 0
             else:
                 # odd
                 ShiftLon = 1

             # calc coordinates for vertex storage
             x1,y1 = (359.*(ShiftLon + LonNr + 1)/(NLons+1) - 179.9,
                      179.*(LatNr )/(NLats+1) - 89.9)
             x2,y2 = (359.*(ShiftLon + LonNr + 2)/(NLons+1) - 179.9,
                      179.*(LatNr + 1)/(NLats+1) - 89.9)
             x3,y3 = (359.*(ShiftLon + LonNr + 1)/(NLons+1) - 179.9,
                      179.*(LatNr + 2)/(NLats+1) - 89.9)
             x4,y4 = (359.*(ShiftLon + LonNr )/(NLons+1) - 179.9,
                      179.*(LatNr + 1)/(NLats+1) - 89.9)

             # get RGB colors, cut off alpha.
             RandomValue = random.random() * vmax
             colorsgen = cmap ((RandomValue - vmin) / (vmax - vmin))[:3]

             # add the polygon vertices and the color to the array
             Poly_Vertices.append ([(x1,y1), (x2,y2), (x3,y3), (x4,y4)])
             Poly_Colors.append (colorsgen)

     # Create PolyCollection and add it to the axes
     print 'PolyCollection: number of elements: ', len (Poly_Colors)
     Data_PatchCollection = PolyCollection (Poly_Vertices,
                                            facecolor=Poly_Colors,
                                            edgecolor='black',
                                            linewidth=0)

     print 'add_collection'
     ax.add_collection (Data_PatchCollection)

     print 'add_collection done'

     # finish the plot by drawing coastlines
     figmap.drawcoastlines()

     plt.title ('PolyCollection on a map')
     fig.savefig ('polycol.png', dpi=300)
     plt.close()

     return
#
# End test_polycollection
#

if __name__ == "__main__":
     """ Test the memory size of matplotlib using poly
         collections.

         On a 64 bit linux machine the memory use is
         enormous when plotting large numbers of patches
         via matplotlib / PolyCollection.

         For 518400 patches matplotlib will use ~2Gb of
         memory. On a 32 bit Linux machine, the memory
         usage is roughly half.

         Can this be done more efficient?

         Debian Testing: Linux host 2.6.32-5-amd64 #1 SMP
               Wed Jan 12 03:40:32 UTC 2011 x86_64 GNU/Linux
         Python 2.6.6 (r266:84292, Dec 26 2010, 22:31:48)
         matplotlib.__version__ = '1.0.0'
     """

     # 129600 patches will use ~630Mb of memory (on 64bit Linux)
     #NLats=360
     #NLons=720

     # 259200 patches will use ~1Gb of memory (on 64bit Linux)
     #NLats=360
     #NLons=1440

     # 518400 patches will use ~2Gb of memory (on 64bit Linux)
     NLats=720
     NLons=1440

     #
     # test the memory size of using poly collections.
     test_polycollection (NLats, NLons)

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The data I want to plot is not as regular as in the example (this was
just to generate lots of non-overlaping patches) but it has different
shapes along the orbit of the satellite when projected on the map.
Almost square at the equator and rotated near the poles. See example
link below from a plot in IDL.

http://temis.nl/o3msaf/vaac/gome2/vaac/daily/images/2011/S-O3M_GOME_NAR_02_M02_20110312000254Z_20110313000254Z_N_O_20110313024518Z.AAI_Global.Unfiltered.png

But I think my satellite data along an orbit is probably piecewise
regular enough try the pcolormesh approach.

So thanks for the suggestion!

Best regards,

  Olaf.

···

On Fri, 2011-03-11 at 17:08 -1000, Eric Firing wrote:

On 03/11/2011 02:54 PM, onet wrote:
> Using matplotlib I try to plot satellite observations, which consists of
> roughly one million patches that are not gridded regularly.
> I first collect the vertices (corner points of the observations) and
> colors and then use PolyCollection and ax.add_collection to add these
> patches to the figure.
>
> On my 64bit Linux machine:
> # 1M patches will use> 4Gb of memory
>
> My question: how can I plot more efficiently and use less memory?

If your data are on a quadrilateral mesh, as in your example, (or can be
approximately mapped onto such a mesh) then pcolormesh should be very
much more efficient both in time and in memory than making a PolyCollection.

It might be regular with respect to a particular projection. Have you
considered checking out Basemap?

Ben Root

···

On Sunday, March 13, 2011, onet <onet@...3474...> wrote:

On Fri, 2011-03-11 at 17:08 -1000, Eric Firing wrote:

On 03/11/2011 02:54 PM, onet wrote:
> Using matplotlib I try to plot satellite observations, which consists of
> roughly one million patches that are not gridded regularly.
> I first collect the vertices (corner points of the observations) and
> colors and then use PolyCollection and ax.add_collection to add these
> patches to the figure.
>
> On my 64bit Linux machine:
> # 1M patches will use> 4Gb of memory
>
> My question: how can I plot more efficiently and use less memory?

If your data are on a quadrilateral mesh, as in your example, (or can be
approximately mapped onto such a mesh) then pcolormesh should be very
much more efficient both in time and in memory than making a PolyCollection.

The data I want to plot is not as regular as in the example (this was
just to generate lots of non-overlaping patches) but it has different
shapes along the orbit of the satellite when projected on the map.
Almost square at the equator and rotated near the poles. See example
link below from a plot in IDL.

http://temis.nl/o3msaf/vaac/gome2/vaac/daily/images/2011/S-O3M_GOME_NAR_02_M02_20110312000254Z_20110313000254Z_N_O_20110313024518Z.AAI_Global.Unfiltered.png

But I think my satellite data along an orbit is probably piecewise
regular enough try the pcolormesh approach.

So thanks for the suggestion!

Best regards,

    Olaf\.