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Re: ColorFunction and/or ColorOutput - mkdk

• To: mathgroup@smc.vnet.net
• Subject: [mg10786] Re: [mg10733] ColorFunction and/or ColorOutput - mkdk
• From: Your Name <seanross@worldnet.att.net>
• Date: Thu, 5 Feb 1998 00:58:31 -0500
• References: <199802020544.AAA28161@smc.vnet.net.>

It might help to use the full parameter list of Hue, as in Plot3D[x^2 +5
y^2,{x,-2,2},{y,-3,3},
  ColorFunction->(Hue[#,If[#<=.2,0,1],If[#>=.8,0,1]]&)]

Note the use of parenthesis.  I have found that ColorFunction likes
them.  Anyway, Hue[color,saturation, brightness] might give you a close
enough approximation to black or white.  The saturation when set to
zero, gives a pretty good white.  The brightness, when set to zero
gives a pretty good black.

decker, mark a wrote:
> 
> I would like to color certain regions of a density plot.  I have been
> working with ColorFunction unsuccessfully so far.  I was wondering if
> someone might be able to help me without taking too much of their time.
> 
> I would also like to clean up all the errors I am generating, by either
> defining my function in a different way OR turning off a few of the
> error codes.  I realize there are undefined regions in the plot.
> 
> Here it is.   It was simple enough I didn't even define functions.
> 
> cond = {alpha -> Pi/6, lambda -> 2.15, Ei -> Ep - Es}
> 
> R = lambda Ei Sqrt[ 1 - (Ep/Ei) Sin[alpha]^2 ]
> 
> DensityPlot[R /. cond, {Ep, 0, 6}, {Es,0,4.5}, Mesh->False,
> PlotRange->{0,1}, PlotPoints->100 ]
> 
> What I would like to do is the following:
> 
> R<0 be black
> 
> R=0  some bright color.
> 
> 0<R<1 be shaded where R~0 is dark and R~1 is light.
> 
> R>1    be white
> 
> R undefined   be some other color.
> 
> I'm sure this is possible.  And I don't need a full solution.  But maybe
> an example using an IF statement with ColorFunction.
> 
> I have come pretty close so far, but the shading from dark to light is
> screwed up and doesn't seem linear with R from 0 to 1.   What algorithm
> does GrayLevel use to normalize it with the function from 0 to 1?  Does
> anybody know?  That might help.
> 
> Thanks!

• References:
  • ColorFunction and/or ColorOutput - mkdk
    • From: "decker, mark a" <ormad@orntsrv103.micro.lucent.com>