# [Numpy-discussion] [numpy-discussion] Transform 3d data

Tue Oct 19 07:10:52 CDT 2010

```You can aid mgrid, riughy as the follows (I may have mistakes, but the direction should be clear):

def transform_3d_data_(field,lwrbnd,uprbnd):
shape = field.shape
XYZ = np.mgrid[lwrbnd[0]:uprbnd[0]:shape[0], lwrbnd[1]:uprbnd[1]:shape[1], lwrbnd[2]:uprbnd[2]:shape[2]]
vectors = fields.reshape(-1,3)
np.savetxt(np.hstack((XYZ.reshape(3,-1).T, vectors)))

-----Original Message-----
From: numpy-discussion-bounces@scipy.org on behalf of Thomas Königstein
Sent: Tue 19-Oct-10 12:05
To: numpy-discussion@scipy.org
Subject: [Numpy-discussion] [numpy-discussion] Transform 3d data

Hello everyone,

I have the following problem:

I acquire a (evenly spaced) 3d field of 3d vectors from a HDF5 data file:

>>> import tables

now, the data is organized in "nested arrays"... so, when I have, say, 300
data points on the x-axis, 200 data points on the y-axis and 100 data points
on the z-axis, I get an array with the shape

>>> field.shape
>>> (300, 200, 100, 3)

When I now want to see a 3D arrow-plot of this field, I use:

>>> from enthought.mayavi import mlab as m
>>> x,y,z=field.transpose()
>>> m.quiver3d(x,y,z)

and this works just fine. Here, the arrays (x and y and z) *each* contain
one field component (i,e. into one spatial direction) at 300x200x100 points
in a 3D array.

Now, I would like to have this data in another format, so I can for example
save it to a textfile with pylab.savetxt. What I would like are six arrays,
each 1d, three for the coordinates and three for the field components. Since
I didn't know any better, I wrote the following procedure:

def transform_3d_data_(field,lowerBounds,upperBounds): #field is the same as
above, lowerBounds and upperBounds each contain three values for x,y,z
min/max
import pylab as p
xx,yy,zz,ex,ey,ez=list(),list(),list(),list(),list(),list()   #xx,yy,zz
will become the spatial coordinates, ex,ey,ez will become the field
components
for xi in range(field.shape[0]): #for each x coordinate...
for yi in range(field.shape[1]): #for each y coordinate...
for zi in range(field.shape[2]): #for each z coordinate...

xx.append(lowerBounds[0]+xi*(upperBounds[0]-lowerBounds[0])/float(field.shape[0]))
#append this

yy.append(lowerBounds[1]+yi*(upperBounds[1]-lowerBounds[1])/float(field.shape[1]))
#x, y, z coordinate

zz.append(lowerBounds[2]+zi*(upperBounds[2]-lowerBounds[2])/float(field.shape[2]))
#to xx, yy, zz ....
ex.append(field[xi][yi][zi][0]) #and also
ez.append(field[xi][yi][zi][2]) #to ex, ey, ez.
xx,yy,zz,ex,ey,ez=[p.array(_) for _ in [xx,yy,zz,ex,ey,ez]]
return xx,yy,zz,ex,ey,ez

, so I get the desired six 1D-arrays xx,yy,zz for the coordinates and
ex,ey,ez for the field components. It works.

Now my question: there has to be a better way to get this re-organization,
right? This one here is much too slow, obviously. Is there maybe a single
command for pylab that does this?

Thomas

PS. I'm new to this messaging board, and I was wondering if there is a
"normal" forum as well? I can't even search through the archives at
http://mail.scipy.org/pipermail/numpy-discussion/ :( have there ever been
discussions/initiatives about porting the mailing list archives for example
to a phpBB based forum?

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