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 >