Re ListPlot3D type plotting

*To*: mathgroup at yoda.physics.unc.edu*Subject*: Re ListPlot3D type plotting*From*: Simon Chandler <simonc at hpcpbla.bri.hp.com>*Date*: Thu, 6 Aug 92 15:12:42 +0100

Mark Stabb recently asked how an array of data z=f(x,y) could be plotted as a surface (like the output of ListPlot3D) when the x and y values are unevenly spaced and there are too many points to use interpolation. Tom Wickham-Jones (from WRI) suggested... >If your data is properly ordered you can use the function ListSurfacePlot3D >in the package Graphics`Graphics3D` and which is documented in the >"Guide to Standard Mathematica Packages". >This can be thought of as a list plotting equivalent of ParametricPlot3D. >It will take >ListSurfacePlot3D[ {{ p11, p12, p13, ...}, { p21, p22, p23, ...}, ...}] ... This does indeed plot a surface, however, there are two problems. 1. If the x and y values have different magnitudes the bounding box for the surface is long and skinny. There does not seem to be any automatic scaling of the axes or any options to control the axes. 2. The axes of the plot are not numbered so one cannot tell the values of x and y from the plot. This rules out use of this function to present experimental data where calibrated axes are essential. Even ListPlot3D of data with reqularly spaced x and y values does not allow one to calibrate the axes - the plot's axes are always numbered with the array's row and column numbers. As an experiemntal physicist I would greatly appreciate a function that could plot arbitrary data then calibrate and label the axes. There are other programs that specialize in this this type of thing but I would like to use Mathematica as a single integrated environment for data display and analysis. Is there a package available that improves Mathamaticas ability to present data? I would like this to support plotting of data on 2D graphs, error bars, plotting multiple data sets with different point styles and line colours etc. I know some of these things are in the standard Graphics` package. Am I asking Mathematica to do a job it wasn't designed for and should I stick to my dedicated data presentation programs ? Simon Chandler Hewlett-Packard Ltd (CPB) Filton Road Stoke Gifford Bristol BS12 6QZ Tel: 0272 228109 Fax: 0272 236091 email: simonc at hpcpbla.bri.hp.com