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Re: ColorFunction Range (Mathematica v7)

  • To: mathgroup at smc.vnet.net
  • Subject: [mg99958] Re: ColorFunction Range (Mathematica v7)
  • From: dh <dh at metrohm.com>
  • Date: Wed, 20 May 2009 04:59:07 -0400 (EDT)
  • References: <guu2l8$6d8$1@smc.vnet.net>


Hi Constantinos,

try:

DensityPlot[f[x, y], {x, 0, 1}, {y, 0, 1},

  ColorFunctionScaling -> True]

DensityPlot[f[x, y], {x, 0, 1}, {y, 0, 1},

  ColorFunctionScaling -> False]

In the first case, the color function receives a scaled argument in the 

range [0,1]. If  ColorFunctionScaling -> False, the color function 

receives the actual value of the function, in our case: [0,2], giving 

the same color if the value is larger than 1.

You can convince yourself by e.g. changing the color function to:

ColorFunction -> (Hue[Mod[#, 1]] &)

Daniel





Constantinos wrote:

> Hi All,

> 

> Does anyone know how I can change the "Range" value of a preset 

> ColorFunction (e.g. "TemperatureMap") in DensityPlot?

> 

> I am facing the following problem:

> 

> Let's say that the min and max values of your plotting function (not the 

> color one) are fmin and fmax, respectively. Let's also assume that you set 

> PlotRange->{pmin,pmax}.

> If pmax is lower than fmax then the highest valued color (Red) corresponds 

> to pmax but if pmax is higher than fmax the highest valued color (Red) 

> corresponds to fmax. Note that we have similar situation for the minimum 

> values fmin and pmin.

> 

> How can I assign the highest (lowest) valued color of a preser ColorFunction 

> to the desired value whatever it is.

> 

> 

> Thanks in advance.

> 

> Constantinos

> 

> 

> 

> 




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