extracting points and projecting
- To: mathgroup at smc.vnet.net
- Subject: [mg98099] extracting points and projecting
- From: "Cristina Ballantine" <cballant at holycross.edu>
- Date: Mon, 30 Mar 2009 04:42:57 -0500 (EST)
I would like to extract the points from the following ContourPlot
g=ContourPlot[Arg[Gamma[x + I*y]] == 0, {x, -10, 10}, {y, -10, 10}, PlotPoints -> 100]
I can do this with
pts = First@Cases[g, x_GraphicsComplex :> First[x]]
Then I would like to map this list of points onto the Riemann sphere. The projection is performed through
j1[x_, y_] := 2 x/(1 + x^2 + y^2)^2
j2[x_, y_] := 2 y/(1 + x^2 + y^2)^2
j3[x_, y_] := (-1 + x^2 + y^2)/(1 + x^2 + y^2)
I need to generate a list of three dimensional points (j1[x,y], j2[x,y], j2[x,y]) from pts and plot them. I am unable to generate the list of three dimensional points. Any help is very much appreciated.
Cristina
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