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Visualization of a list of 3D points coordinates with a perspective

  • To: mathgroup at smc.vnet.net
  • Subject: [mg89296] Visualization of a list of 3D points coordinates with a perspective
  • From: Alexei Boulbitch <Alexei.Boulbitch at iee.lu>
  • Date: Wed, 4 Jun 2008 05:37:16 -0400 (EDT)

Dear MathGroup members,

I have a list containing 3D coordinates of a number of points, like this one
lst={{3.30414, -2.86064, -2.54648}, {4.06572, 3.80403,
   1.68897}, {-1.72822, -2.03097, -4.1024}, ...}

I would like to visualize them by plotting them. To plot them as a set 
of points may be trivially done by say, ListPointPlot3D. Alternatively, 
it may be visualized as a set of spheres with unit radius and centered 
in the points specified by the list, e.g. in the point {3.30414, 
-2.86064, -2.54648}, in {4.06572, 3.80403, 1.68897} etc.

Now comes the question. I would like to do it in such a way that the 
size (and may be the color) of each point or sphere would depend upon 
one of the coordinates (say, y). In other words, the size and the of the 
first point specified by lst with y=-2.86064 would be smaller than that 
of the second point that has y=3.80403. The color or darkness may also 
depend upon y. This would give a feeling of a perspective.

Do you have an idea of how to do this?

Best, Alexei

-- 
Alexei Boulbitch, Dr., habil.
Senior Scientist
IEE S.A.
Material Development,
ZAE Weiergewan
11, rue Edmond Reuter,
L-5326 Contern,
Luxembourg
Tel.: +352 2454-2566
Fax:  +352 2454-3566
e-mail: alexei.boulbitch at iee.lu

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