[SciPy-user] How to draw a 3D graphic of a function?

[James A. Bednar]

|  From: Joshua Lippai
|  Date: Apr 14 10:27:52 2008 -0700
|  
|  I can't import matplotlib.axes3d using a 0.98pre SVN build. Here's my output:
|  
|  In [3]: from matplotlib import axes3d
|  ---------------------------------------------------------------------------
|  ImportError                               Traceback (most recent call last)
|  
|  /Users/Josh/<ipython console> in <module>()
|  
|  /Library/Frameworks/Python.framework/Versions/2.5/lib/python2.5/site-packages/matplotlib/axes3d.py
|  in <module>()
|       14 from axes import Axes
|       15 import cbook
|  ---> 16 from transforms import unit_bbox
|       17
|       18 import numpy as npy
|  
|  ImportError: cannot import name unit_bbox

That sounds like something to report to the matplotlib list.  I just
checked on the latest released version of matplotlib (0.91.2), and it
still works on that version.

Jim

|  On Sun, Apr 13, 2008 at 12:22 AM, James A. Bednar <jbednar at inf.ed.ac.uk> wrote:
|  > |  Date: Fri, 11 Apr 2008 15:02:03 +0200
|  >  |  From: Gael Varoquaux <gael.varoquaux at normalesup.org>
|  >
|  > |
|  >  |  On Fri, Apr 11, 2008 at 08:57:50PM +0800, zhang chi wrote:
|  >  |  >  I want to draw a matrix of 100 X 100, its elements are the values of a function.
|  >  |
|  >  |  I suppose you want to map the value of your matrix to the altitude of a
|  >  |  surface?
|  >  |
|  >  |  You can do this with Mayavi2. Have a look at the user guide,
|  >
|  >  As shown below, you can also do this with matplotlib, which more
|  >  people will probably have installed. There was a suggestion that I add
|  >  this to the matplotlib cookbook, but I still haven't gotten a chance
|  >  to do so...
|  >
|  >  Jim
|  >
|  >  |  Date: Tue, 02 Oct 2007 04:56:56 -0400
|  >  |  From: Joe Harrington <jh at physics.ucf.edu>
|  >  |
|  >  |  Or, you could just do it with matplotlib...
|  >  |
|  >  |  http://physicsmajor.wordpress.com/2007/04/22/3d-surface-with-matplotlib/
|  >  |
|  >  |  This was the first hit on a google search for "matplotlib surface".  I
|  >  |  tested it and it works in 0.90.1.
|  >
|  >  Interesting!  I couldn't find any documentation at all, but after some
|  >  hacking on that script I was able to make matplotlib 0.90.1 plot a
|  >  wireframe surface for a 2D numpy array, so I thought it could be
|  >  useful to include the code (below).
|  >
|  >  Note that the original example uses plot_surface instead of
|  >  plot_wireframe, but I've found plot_surface to be quite buggy, with
|  >  plots disappearing entirely much of the time, while plot_wireframe has
|  >  been reliable so far.  There is also contour3D, though that doesn't
|  >  look very useful yet.  Hopefully these 3D plots will all be polished
|  >  up a bit and made public in a new matplotlib release soon!
|  >
|  >  Jim
|  >  _______________________________________________________________________________
|  >
|  >  import pylab
|  >  from numpy import outer,arange,cos,sin,ones,zeros,array
|  >  from matplotlib import axes3d
|  >
|  >  def matrixplot3d(mat,title=None):
|  >     fig = pylab.figure()
|  >     ax = axes3d.Axes3D(fig)
|  >
|  >     # Construct matrices for r and c values
|  >     rn,cn = mat.shape
|  >     c = outer(ones(rn),arange(cn*1.0))
|  >     r = outer(arange(rn*1.0),ones(cn))
|  >
|  >     ax.plot_wireframe(r,c,mat)
|  >
|  >     ax.set_xlabel('R')
|  >     ax.set_ylabel('C')
|  >     ax.set_zlabel('Value')
|  >
|  >     if title: windowtitle(title)
|  >     pylab.show()
|  >
|  >
|  >  matrixplot3d(array([[0.1,0.5,0.9],[0.2,0.1,0.0]]))
|  >
|  >
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|  >
|  >
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