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

  • To: mathgroup at smc.vnet.net
  • Subject: [mg89321] Re: Visualization of a list of 3D points coordinates with a perspective
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Thu, 5 Jun 2008 00:45:14 -0400 (EDT)
  • References: <g25nta$hu5$1@smc.vnet.net>

Hi,

lst = {{3.30414, -2.86064, -2.54648}, {4.06572, 3.80403,
    1.68897}, {-1.72822, -2.03097, -4.1024}};

and
{ymin, ymax} = {Min[#], Max[#]} &[Transpose[lst][[2]]]
Graphics3D[
  {Hue[0.8*(#[[2]] - ymin)/(ymax - ymin)],
     Sphere[#, 1/(2 + #[[2]] - ymin)]} & /@ lst]

Regards
   Jens


Alexei Boulbitch wrote:
> 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
> 


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