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

*To*: mathgroup at smc.vnet.net*Subject*: [mg89327] Re: [mg89321] Re: Visualization of a list of 3D points coordinates with a perspective*From*: DrMajorBob <drmajorbob at att.net>*Date*: Fri, 6 Jun 2008 06:45:00 -0400 (EDT)*References*: <g25nta$hu5$1@smc.vnet.net> <39600.1212644089509.JavaMail.root@m08>*Reply-to*: drmajorbob at longhorns.com

Through is SO underutilised, don't you think? And why use Transpose then Part, when Part does the job on its own? lst = {{3.30414, -2.86064, -2.54648}, {4.06572, 3.80403, 1.68897}, {-1.72822, -2.03097, -4.1024}}; {ymin, ymax} = Through[{Min, Max}@lst[[All, 2]]] Graphics3D[{Hue[0.8*(#[[2]] - ymin)/(ymax - ymin)], Sphere[#, 1/(2 + #[[2]] - ymin)]} & /@ lst] {-2.86064, 3.80403} Bobby On Wed, 04 Jun 2008 23:45:14 -0500, Jens-Peer Kuska <kuska at informatik.uni-leipzig.de> wrote: > 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 >> > > -- DrMajorBob at longhorns.com