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Re: display pixel value with ListDensityPlot

  • To: mathgroup at
  • Subject: [mg8069] Re: display pixel value with ListDensityPlot
  • From: Paul Abbott <paul at>
  • Date: Mon, 4 Aug 1997 01:47:52 -0400
  • Organization: University of Western Australia
  • Sender: owner-wri-mathgroup at

Timothy Williams wrote:

> ListDensityPlot can give the coordinates of a 2D density plot, but not
> the actual values. Is there a way to display the value of an image
> using the mouse?

In the Mathematica Journal 3(1): 22 there is an example by Theo Gray
from Wolfram Research, Inc. of "aural" encoding:

It is sometimes interesting to encode information in the form of
sounds.  Here is an example that associates to a location in the (x,
y)-plane a sound whose frequency is proportional to the value of a
function f(x,y):


	sounds = First[Graphics[Table[Rectangle[{n, m}, 
       {n + 4/points, m + 4/points}, 
           {x, 0, 0.2}, PlayRange -> {-1, 1}, 
           DisplayFunction -> Identity][[1]]}]], 
      {n, 0, 4 - 4/points, 4/points}, 
      {m, 0, 4 - 4/points, 4/points}]]]; 

Note the use of Rectangle

	DensityPlot[Sin[x y],{x,0,4},{y,0,4},Epilog->sounds,

Select the graphic, and then Shift-Click on it.  Hold down the mouse
button and drag around to hear a changing sound.


Paul Abbott                                   Phone: +61-8-9380-2734
Department of Physics                           Fax: +61-8-9380-1014
The University of Western Australia           
Nedlands WA  6907                     mailto:paul at 

            God IS a weakly left-handed dice player

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