discrete points in 3D polar

*To*: mathgroup at smc.vnet.net*Subject*: [mg113353] discrete points in 3D polar*From*: Igor Barani <ibarani at gmail.com>*Date*: Mon, 25 Oct 2010 06:39:35 -0400 (EDT)

Hi, I am trying to plot a list of discrete points in 3D polar (spherical) space. The data is in the format (r, phi, psi) where the r value represents a normalized radial distance, phi (in degrees) is the inclination (polar angle), and psi (in degrees) is the azimuth (azimuthal angle). For this specific problem, we have a spherical object that was divided in half by a plane. From the center of the sphere (the origin), a line was drawn to the sphere edge on this plane such that a vector (1,0,0) represents the main axis. All the coordinates are reported with respect to this axis and the radial distance is normalized to this vector. For example, if I have two spheres of different size and specify the main axis in the same manner in both cases, the spherical coordinates for a "relative" location in one sphere would correspond to the same "relative" location in the other sphere. Some sample data is shown below (CSV file is also attached): Structure, R, Phi (degrees), Psi (degrees) Target 1, 0.27, -2.17, 1.89 Target 2, 0.24, -0.92, 1.7 Target 3, 0.28, -1.61, 1.18 I am unfortunately a novice in mathematica (a physician) and despite spending some time playing with the program, I could not create a nice 3D graph to display this information. I would very much appreciate your help and suggestions to solve this display problem. I believe that another system has a function called "3D polar plot" (based on my websearch) but I could not find an equivalent function in Mathematica. I don't think that RevolutionPlot3D works here because it only accepts a function and not discrete points for input. Please advise. Thank you in advance for your help and suggestions. - Igor