Re: [Matplotlib-users] basemap and omerc

2008-02-13 Thread Jeff Whitaker
Evan Mason wrote:
 Hi, I am having some problems using the oblique mercator projection in 
 basemap.  I want to define a rectangular orthogonal grid, rotated 
 clockwise by about 13 degrees.  I want to define grid cells of size, 
 say, about 20x20 km.  The script I have so far is below.  The problem 
 is that at some point (the makegrid step) I lose the rotation, as seen 
 in the plot.

 I'd appreciate any help with this, thanks, Evan


 from matplotlib.toolkits.basemap import Basemap

 M = Basemap(projection = 'omerc',   \
resolution  = None,   \
llcrnrlon  = -43.7,   \
llcrnrlat   = 14.7,\
urcrnrlon = -4.0,\
urcrnrlat  = 41.9,\
lat_2   = 11.0,\
lat_1   = 45.5,\
lon_2  = -27.8,   \
lon_1  = -19.9)

 dl = 2.
 nx = int((M.xmax - M.xmin) / dl) + 1
 ny = int((M.ymax - M.ymin) / dl) + 1

 lonr, latr = M.makegrid(nx, ny)

 plot(lonr, latr, 'c.')
 show()

Evan:  I have to admit, I'm not too familiar with the Oblique Mercator 
projection.  What exactly should it look like?

If I plot

M = Basemap(projection = 'omerc',   \
   resolution  = 'l',   \
   llcrnrlon  = -43.7,   \
   llcrnrlat   = 14.7,\
   urcrnrlon = -4.0,\
   urcrnrlat  = 41.9,\
   lat_2   = 11.0,\
   lat_1   = 45.5,\
   lon_2  = -27.8,   \
   lon_1  = -19.9)
M.drawcoastlines()
M.drawparallels(arange(10,51,10))
M.drawmeridians(arange(-50,1,10))
M.show()

I see a reasonable looking map, but then I don't really know exactly 
what to expect.

It seems that there are two ways to specify oblique mercator in proj4

1) by specifying 2 points (lon1,lat1), (lon2,lat2) along the central line
2) by specifying a central point and an azimuth that passes through the 
central point.

Basemap uses (1), but every example on the web I've seen uses (2).  It 
could be there are bugs in (1), and (2) would produce more reasonable 
results in your case.  If you can give me an example of what your map 
*should* look like,  it would help a lot.

-Jeff




-- 
Jeffrey S. Whitaker Phone : (303)497-6313
NOAA/OAR/CDC  R/PSD1FAX   : (303)497-6449
325 BroadwayBoulder, CO, USA 80305-3328


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Re: [Matplotlib-users] healpix and basemap

2008-02-13 Thread Jeff Whitaker
jlu wrote:
 Has anyone had any luck plotting a Healpix (sky pixelization used in  
 astronomy) map using matplotlib basemap... or any other python  
 plotting package for that matter?

 Cheers,
 Jessica
   
Jessica:  I don't know anything about Healpix, but if you are more 
specific about what the problem is I may be able to help.  For instance, 
how are the locations of the pixels in your image defined?

-Jeff

-- 
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NOAA/OAR/CDC  R/PSD1FAX   : (303)497-6449
325 BroadwayBoulder, CO, USA 80305-3328


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[Matplotlib-users] basemap and omerc

2008-02-13 Thread Tommy Grav

On Feb 12, 2008, at 8:39 PM, Evan Mason wrote:

 dl = 2.
 nx = int((M.xmax - M.xmin) / dl) + 1
 ny = int((M.ymax - M.ymin) / dl) + 1

 lonr, latr = M.makegrid(nx, ny)

 plot(lonr, latr, 'c.')
 show()

I think you might be looking for M.plot() rather than plot()??
plot() will just overwrite the basemap in the figure (although
that might be possible to fix with some axis-magic, but that is
far beyond my knowledge of matplotlib).

Cheers
   Tommy


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Re: [Matplotlib-users] basemap and omerc

2008-02-13 Thread Jeff Whitaker
Evan Mason wrote:
 Thanks for the replies.  The map you produced, Jeff, looks as it 
 should.  However, I am trying to make an ocean model grid, and so I 
 require two 2d arrays of lon and lat, at my desired grid spacing.  
 This is why I try the steps:

 dl = 2.
 nx = int((M.xmax - M.xmin) / dl) + 1
 ny = int((M.ymax - M.ymin) / dl) + 1
 lonr, latr = M.makegrid(nx, ny)   - it seems to be here that it loses 
 'memory' of omerc projection that I specified, and maybe there is a 
 bug here?

Evan:  Why do you say it 'loses' memory of the projection?  The values 
look fine to me - they are just equally spaced points in map projection 
coordinates that cover the map projection region.  Take a look at

M = Basemap(projection = 'omerc',   \
 resolution  = 'l',   \
llcrnrlon  = -43.7,   \
llcrnrlat   = 14.7,\
urcrnrlon = -4.0,\
urcrnrlat  = 41.9,\
lat_2   = 11.0,\
lat_1   = 45.5,\
lon_2  = -27.8,   \
lon_1  = -19.9)
dl = 20.
nx = int((M.xmax - M.xmin) / dl) + 1
ny = int((M.ymax - M.ymin) / dl) + 1
lonr, latr,x,y= M.makegrid(nx, ny, returnxy=True)
M.drawcoastlines()
M.scatter(x.flatten(), y.flatten(),5,marker='o')
M.drawparallels(arange(10,51,10))
M.drawmeridians(arange(-50,1,10))
show()

 If you have matlab, the following lines do what I am looking for:

 incx = 0.00310/2;
 incy = 0.00306/2;
 Xstr = -0.275;
 Xend = 0.275;
 Ystr  = 0.17;
 Yend = 0.8;
 X = [Xstr:incx:Xend];
 Y = [Ystr:incy:Yend];
 [XX,YY]= meshgrid(X,Y);
 [Lonr,Latr] = m_xy2ll(XX,YY);
 m_proj('Oblique Mercator','lon',[-23.75 -28.25],'lat',[45.5 
 11],'direction','vertical');
 plot(Lonr, Latr, 'c.')

Sorry, I don't have matlab - but it looks at first glance like it ought 
to be doing the same thing.

-Jeff



 -Evan





 On Feb 13, 2008 5:14 AM, Jeff Whitaker [EMAIL PROTECTED] 
 mailto:[EMAIL PROTECTED] wrote:

 Evan Mason wrote:
  Hi, I am having some problems using the oblique mercator
 projection in
  basemap.  I want to define a rectangular orthogonal grid, rotated
  clockwise by about 13 degrees.  I want to define grid cells of size,
  say, about 20x20 km.  The script I have so far is below.  The
 problem
  is that at some point (the makegrid step) I lose the rotation,
 as seen
  in the plot.
 
  I'd appreciate any help with this, thanks, Evan
 
 
  from matplotlib.toolkits.basemap import Basemap
 
  M = Basemap(projection = 'omerc',   \
 resolution  = None,   \
 llcrnrlon  = -43.7,   \
 llcrnrlat   = 14.7,\
 urcrnrlon = -4.0,\
 urcrnrlat  = 41.9,\
 lat_2   = 11.0,\
 lat_1   = 45.5,\
 lon_2  = -27.8,   \
 lon_1  = -19.9)
 
  dl = 2.
  nx = int((M.xmax - M.xmin) / dl) + 1
  ny = int((M.ymax - M.ymin) / dl) + 1
 
  lonr, latr = M.makegrid(nx, ny)
 
  plot(lonr, latr, 'c.')
  show()

 Evan:  I have to admit, I'm not too familiar with the Oblique Mercator
 projection.  What exactly should it look like?

 If I plot

 M = Basemap(projection = 'omerc',   \
   resolution  = 'l',   \
   llcrnrlon  = -43.7,   \
   llcrnrlat   = 14.7,\
   urcrnrlon = -4.0,\
   urcrnrlat  = 41.9,\
   lat_2   = 11.0,\
   lat_1   = 45.5,\
   lon_2  = -27.8,   \
   lon_1  = -19.9)
 M.drawcoastlines()
 M.drawparallels(arange(10,51,10))
 M.drawmeridians(arange(-50,1,10))
 M.show()

 I see a reasonable looking map, but then I don't really know exactly
 what to expect.

 It seems that there are two ways to specify oblique mercator in proj4

 1) by specifying 2 points (lon1,lat1), (lon2,lat2) along the
 central line
 2) by specifying a central point and an azimuth that passes
 through the
 central point.

 Basemap uses (1), but every example on the web I've seen uses (2).  It
 could be there are bugs in (1), and (2) would produce more reasonable
 results in your case.  If you can give me an example of what your map
 *should* look like,  it would help a lot.

 -Jeff




 --
 Jeffrey S. Whitaker Phone : (303)497-6313
 NOAA/OAR/CDC  R/PSD1FAX   : (303)497-6449
 325 BroadwayBoulder, CO, USA 80305-3328




-- 
Jeffrey S. Whitaker Phone  : (303)497-6313
Meteorologist   FAX: (303)497-6449
NOAA/OAR/PSD  R/PSD1Email  : [EMAIL PROTECTED]
325 BroadwayOffice : Skaggs Research Cntr 1D-124

Re: [Matplotlib-users] Random colourmap?

2008-02-13 Thread Eric Firing
José Gómez-Dans wrote:
 Hi,
 Is there a simple way to come up with a random colourmap? I need to plot 
 discrete values, and I would like that the colours do not show a trend, to 
 easily distinguish them?

It might help if you described the application.  I am guessing that you 
have a small number of values (5? 10? 15?) and that using direct 
indexing with a ListedColormap will be the simplest way to get what you 
want.

I have recently made this easier in svn, as illustrated by the second 
panel in examples/colorbar_only.py, but this is not yet available in a 
released version of mpl.

A simpler use of a ListedColormap is given in examples/contourf_demo.py, 
in the last plot; this is the same in recent mpl releases as in svn.

 
 I read the cookbook entry on Doing your own colormap, but can't seem to 
 bring my mind into it!

Are you referring to this 
http://www.scipy.org/Cookbook/Matplotlib/ColormapTransformations
?

Eric

 
 Cheers!
 Jose

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Re: [Matplotlib-users] pyinstall and matplotlib

2008-02-13 Thread kc106_2005-matplotlib
Well, looks like nobody has an answer to this
question.

How'bout py2exe or other ways of creating exe files
out of matplotlib projects?  Has anybody been able to
do that?

--- [EMAIL PROTECTED] wrote:

 Has anybody been able to create an exe of their
 python
 applications involving matplotlib using pyinstall
 (ver
 1.3)?  I am getting a:
 
  RuntimeError: Could not find the matplotlib
 data
 files
 
 when I attempt to run the exe created.
 
 In searching the web, it appears this is an issue
 when
 others tried to use py2exe as well.  Unfortunately,
 the few hits I saw doesn't include enough details to
 inspire me as to what I should be doing in my
 pyinstall .spec file.
 
 Does anybody has an example or information about
 this?
 
 Thanks, 
 
 --
 John Henry
 


--
John Henry

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Re: [Matplotlib-users] basemap and omerc

2008-02-13 Thread Evan Mason
Thanks for the replies.  The map you produced, Jeff, looks as it should.
However, I am trying to make an ocean model grid, and so I require two 2d
arrays of lon and lat, at my desired grid spacing.  This is why I try the
steps:

dl = 2.
nx = int((M.xmax - M.xmin) / dl) + 1
ny = int((M.ymax - M.ymin) / dl) + 1
lonr, latr = M.makegrid(nx, ny)   - it seems to be here that it loses
'memory' of omerc projection that I specified, and maybe there is a bug
here?

If you have matlab, the following lines do what I am looking for:

incx = 0.00310/2;
incy = 0.00306/2;
Xstr = -0.275;
Xend = 0.275;
Ystr  = 0.17;
Yend = 0.8;
X = [Xstr:incx:Xend];
Y = [Ystr:incy:Yend];
[XX,YY]= meshgrid(X,Y);
[Lonr,Latr] = m_xy2ll(XX,YY);
m_proj('Oblique Mercator','lon',[-23.75
-28.25],'lat',[45.511],'direction','vertical');
plot(Lonr, Latr, 'c.')



-Evan





On Feb 13, 2008 5:14 AM, Jeff Whitaker [EMAIL PROTECTED] wrote:

 Evan Mason wrote:
  Hi, I am having some problems using the oblique mercator projection in
  basemap.  I want to define a rectangular orthogonal grid, rotated
  clockwise by about 13 degrees.  I want to define grid cells of size,
  say, about 20x20 km.  The script I have so far is below.  The problem
  is that at some point (the makegrid step) I lose the rotation, as seen
  in the plot.
 
  I'd appreciate any help with this, thanks, Evan
 
 
  from matplotlib.toolkits.basemap import Basemap
 
  M = Basemap(projection = 'omerc',   \
 resolution  = None,   \
 llcrnrlon  = -43.7,   \
 llcrnrlat   = 14.7,\
 urcrnrlon = -4.0,\
 urcrnrlat  = 41.9,\
 lat_2   = 11.0,\
 lat_1   = 45.5,\
 lon_2  = -27.8,   \
 lon_1  = -19.9)
 
  dl = 2.
  nx = int((M.xmax - M.xmin) / dl) + 1
  ny = int((M.ymax - M.ymin) / dl) + 1
 
  lonr, latr = M.makegrid(nx, ny)
 
  plot(lonr, latr, 'c.')
  show()

 Evan:  I have to admit, I'm not too familiar with the Oblique Mercator
 projection.  What exactly should it look like?

 If I plot

 M = Basemap(projection = 'omerc',   \
   resolution  = 'l',   \
   llcrnrlon  = -43.7,   \
   llcrnrlat   = 14.7,\
   urcrnrlon = -4.0,\
   urcrnrlat  = 41.9,\
   lat_2   = 11.0,\
   lat_1   = 45.5,\
   lon_2  = -27.8,   \
   lon_1  = -19.9)
 M.drawcoastlines()
 M.drawparallels(arange(10,51,10))
 M.drawmeridians(arange(-50,1,10))
 M.show()

 I see a reasonable looking map, but then I don't really know exactly
 what to expect.

 It seems that there are two ways to specify oblique mercator in proj4

 1) by specifying 2 points (lon1,lat1), (lon2,lat2) along the central line
 2) by specifying a central point and an azimuth that passes through the
 central point.

 Basemap uses (1), but every example on the web I've seen uses (2).  It
 could be there are bugs in (1), and (2) would produce more reasonable
 results in your case.  If you can give me an example of what your map
 *should* look like,  it would help a lot.

 -Jeff




 --
 Jeffrey S. Whitaker Phone : (303)497-6313
 NOAA/OAR/CDC  R/PSD1FAX   : (303)497-6449
 325 BroadwayBoulder, CO, USA 80305-3328


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[Matplotlib-users] Random colourmap?

2008-02-13 Thread José Gómez-Dans
Hi,
Is there a simple way to come up with a random colourmap? I need to plot 
discrete values, and I would like that the colours do not show a trend, to 
easily distinguish them?

I read the cookbook entry on Doing your own colormap, but can't seem to 
bring my mind into it!

Cheers!
Jose

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[Matplotlib-users] day-night terminator and/or solar zenith angle code ?

2008-02-13 Thread Jim Vickroy
Hello all,

Could someone offer suggestions for (preferably) python code to compute:

* day/night terminator position
* solar zenith angle


I'm developing a basemap application that is required to hide contour
data in the night regions of the earth.

The projections will be Mercator and polar stereographic; presumably, it
will suffice to have Mercator-based terminator map only.

Thanks for any suggestions.

-- jv
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Re: [Matplotlib-users] basemap and omerc

2008-02-13 Thread Evan Mason
By losing the memory I mean that the grid is no longer rotated; that the
rotation I introduced through lat1, lon1, lat2, lon2 is lost.  If you look
at the latitude of the two bottom corners you see that they are the same,
they should be different - for the matlab script they are different.  In
other words, I want my great circle not to be the equator or a meridian,
instead I want it to be between lat1, lon1, lat2, lon2.  See for example:
http://erg.usgs.gov/isb/pubs/MapProjections/projections.html#mercator

At present, basemap seems to be reverting to a standard mercator projection.

-Evan




On Feb 13, 2008 10:48 AM, Jeff Whitaker [EMAIL PROTECTED] wrote:

 Evan Mason wrote:
  Thanks for the replies.  The map you produced, Jeff, looks as it
  should.  However, I am trying to make an ocean model grid, and so I
  require two 2d arrays of lon and lat, at my desired grid spacing.
  This is why I try the steps:
 
  dl = 2.
  nx = int((M.xmax - M.xmin) / dl) + 1
  ny = int((M.ymax - M.ymin) / dl) + 1
  lonr, latr = M.makegrid(nx, ny)   - it seems to be here that it loses
  'memory' of omerc projection that I specified, and maybe there is a
  bug here?

 Evan:  Why do you say it 'loses' memory of the projection?  The values
 look fine to me - they are just equally spaced points in map projection
 coordinates that cover the map projection region.  Take a look at

 M = Basemap(projection = 'omerc',   \
 resolution  = 'l',   \
llcrnrlon  = -43.7,   \
llcrnrlat   = 14.7,\
urcrnrlon = -4.0,\
urcrnrlat  = 41.9,\
lat_2   = 11.0,\
lat_1   = 45.5,\
lon_2  = -27.8,   \
lon_1  = -19.9)
 dl = 20.
 nx = int((M.xmax - M.xmin) / dl) + 1
 ny = int((M.ymax - M.ymin) / dl) + 1
 lonr, latr,x,y= M.makegrid(nx, ny, returnxy=True)
 M.drawcoastlines()
 M.scatter(x.flatten(), y.flatten(),5,marker='o')
 M.drawparallels(arange(10,51,10))
 M.drawmeridians(arange(-50,1,10))
 show()
 
  If you have matlab, the following lines do what I am looking for:
 
  incx = 0.00310/2;
  incy = 0.00306/2;
  Xstr = -0.275;
  Xend = 0.275;
  Ystr  = 0.17;
  Yend = 0.8;
  X = [Xstr:incx:Xend];
  Y = [Ystr:incy:Yend];
  [XX,YY]= meshgrid(X,Y);
  [Lonr,Latr] = m_xy2ll(XX,YY);
  m_proj('Oblique Mercator','lon',[-23.75 -28.25],'lat',[45.5
  11],'direction','vertical');
  plot(Lonr, Latr, 'c.')

 Sorry, I don't have matlab - but it looks at first glance like it ought
 to be doing the same thing.

 -Jeff
 
 
 
  -Evan
 
 
 
 
 
  On Feb 13, 2008 5:14 AM, Jeff Whitaker [EMAIL PROTECTED]
  mailto:[EMAIL PROTECTED] wrote:
 
  Evan Mason wrote:
   Hi, I am having some problems using the oblique mercator
  projection in
   basemap.  I want to define a rectangular orthogonal grid, rotated
   clockwise by about 13 degrees.  I want to define grid cells of
 size,
   say, about 20x20 km.  The script I have so far is below.  The
  problem
   is that at some point (the makegrid step) I lose the rotation,
  as seen
   in the plot.
  
   I'd appreciate any help with this, thanks, Evan
  
  
   from matplotlib.toolkits.basemap import Basemap
  
   M = Basemap(projection = 'omerc',   \
  resolution  = None,   \
  llcrnrlon  = -43.7,   \
  llcrnrlat   = 14.7,\
  urcrnrlon = -4.0,\
  urcrnrlat  = 41.9,\
  lat_2   = 11.0,\
  lat_1   = 45.5,\
  lon_2  = -27.8,   \
  lon_1  = -19.9)
  
   dl = 2.
   nx = int((M.xmax - M.xmin) / dl) + 1
   ny = int((M.ymax - M.ymin) / dl) + 1
  
   lonr, latr = M.makegrid(nx, ny)
  
   plot(lonr, latr, 'c.')
   show()
 
  Evan:  I have to admit, I'm not too familiar with the Oblique
 Mercator
  projection.  What exactly should it look like?
 
  If I plot
 
  M = Basemap(projection = 'omerc',   \
resolution  = 'l',   \
llcrnrlon  = -43.7,   \
llcrnrlat   = 14.7,\
urcrnrlon = -4.0,\
urcrnrlat  = 41.9,\
lat_2   = 11.0,\
lat_1   = 45.5,\
lon_2  = -27.8,   \
lon_1  = -19.9)
  M.drawcoastlines()
  M.drawparallels(arange(10,51,10))
  M.drawmeridians(arange(-50,1,10))
  M.show()
 
  I see a reasonable looking map, but then I don't really know exactly
  what to expect.
 
  It seems that there are two ways to specify oblique mercator in
 proj4
 
  1) by specifying 2 points (lon1,lat1), (lon2,lat2) along the
  central line
  2) by specifying a 

Re: [Matplotlib-users] basemap and omerc

2008-02-13 Thread Jeff Whitaker
Evan Mason wrote:
 Hi Jeff

 Here are the corners:

 lon_corners = N.array([-4.09300764,-35.76003475,-43.72330207, 
 -12.05627497])
 lat_corners = N.array([41.90278813, 49.2136974, 14.7209971, 7.41008784])

 The reason for the differences is that the matlab script is very 
 fiddly, lots of trial and error to get the grid in the right place.  
 The attraction of using basemap is it allows me to specify the 
 corners, so that I have it right first time, that's the idea anyway.

 That would be great if you could turn off that rotation, maybe a 
 keyword True/False

 Thanks, Evan

Evan:  I've changed Basemap in svn so you can set 'no_rot=True' when 
creating a Basemap instance for the 'omerc' projection to get what you 
want.  If you don't feel like upgrading (since that requires upgrading 
matplotlib to svn head at the same time), this will work in the version 
you have:

from matplotlib.toolkits.basemap import Basemap, pyproj
from pylab import *
p = pyproj.Proj(lon_2=-27.8,lon_1=-19.9,no_rot=True,proj='omerc',\
lat_2=11.0,lat_1=45.5)
xmax,ymax = p(-4.093,41.9027)  # upper right corner
xmin,ymin = p(-43.723,14.721)  # lower left corner
x = linspace(xmin,xmax,35)
y = linspace(ymin,ymax,35)
x, y = meshgrid(x,y)
lonr,latr = p(x,y, inverse=True)
m = Basemap(llcrnrlon=-60,llcrnrlat=5,\
urcrnrlon=15,urcrnrlat=60,resolution='i')
m.drawcoastlines()
m.scatter(lonr.flatten(),latr.flatten(),5,marker='o')
m.drawmeridians(arange(-60,21,10),labels=[0,0,0,1])
m.drawparallels(arange(0,61,10),labels=[1,0,0,0])
show()

Let me know if this fixes it for you.

-Jeff



 On Feb 13, 2008 12:56 PM, Jeff Whitaker [EMAIL PROTECTED] 
 mailto:[EMAIL PROTECTED] wrote:

 Evan Mason wrote:
  Hi Jeff
 
  By losing the memory I mean that the grid is no longer rotated; that
  the rotation I introduced through lat1, lon1, lat2, lon2 is
 lost.  If
  you look at the latitude of the two bottom corners you see that they
  are the same, they should be different.  In other words, I want my
  great circle not to be the equator or a meridian, instead I want
 it to
  be between lat1, lon1, lat2, lon2.  See for example:
 
 http://erg.usgs.gov/isb/pubs/MapProjections/projections.html#mercator
 
  Attached is a png from the matlab script.  Here you can see the
  rotation that I am looking for.  The latitude of the two bottom
  corners is different, unlike what happens presently with my basemap
  script.
 
  Thanks, Evan

 Evan:  OK, I was confused by your use of the term 'losing the memory'.
 Basemap didn't lose the rotation, it never had it in the first place.
 It looks like matlab and Basemap define the projection regions
 differently.  They both are right, but are showing you different
 regions
 of the same projection.  The difference is that proj4 (and therefore
 Basemap) automatically rotates the y axis to lie along true north.  I
 think I know how to modify Basemap to display the region you want, by
 turning off that rotation.  Can you send me the lat/lon values of
 the 4
 corners of the region that matlab produces?

 -Jeff

 P.S. I don't know if this is relevant or not, but you appear to be
 giving matlab different points to define the center of the projection
 than you did in Basemap (the lons you gave matlab are
 -23.75,-28.25, the
 lons you give in Basemap are -27.8 and 19.9).
 
 
 
  On Feb 13, 2008 10:48 AM, Jeff Whitaker [EMAIL PROTECTED]
 mailto:[EMAIL PROTECTED]
  mailto:[EMAIL PROTECTED] mailto:[EMAIL PROTECTED] wrote:
 
  Evan Mason wrote:
   Thanks for the replies.  The map you produced, Jeff, looks
 as it
   should.  However, I am trying to make an ocean model grid,
 and so I
   require two 2d arrays of lon and lat, at my desired grid
 spacing.
   This is why I try the steps:
  
   dl = 2.
   nx = int((M.xmax - M.xmin) / dl) + 1
   ny = int((M.ymax - M.ymin) / dl) + 1
   lonr, latr = M.makegrid(nx, ny)   - it seems to be here
 that it
  loses
   'memory' of omerc projection that I specified, and maybe
 there is a
   bug here?
 
  Evan:  Why do you say it 'loses' memory of the projection?
  The values
  look fine to me - they are just equally spaced points in map
  projection
  coordinates that cover the map projection region.  Take a
 look at
 
  M = Basemap(projection = 'omerc',   \
  resolution  = 'l',   \
 llcrnrlon  = -43.7,   \
 llcrnrlat   = 14.7,\
 urcrnrlon = -4.0,\
 urcrnrlat  = 41.9,\
 lat_2   = 11.0,\