How can I generate this graphic?
- To: mathgroup at smc.vnet.net
- Subject: [mg113584] How can I generate this graphic?
- From: Vicent <vginer at gmail.com>
- Date: Wed, 3 Nov 2010 02:56:38 -0500 (EST)
Hello to all.
I want to make you a question about how to plot a specific graphic with
Mathematica 7.0.
I have a function "myfunc" defined on two discrete variables, say x and
y. And I want to represent graphically "myfunc".
I can generate some graphics with ListPlot3D and ListContourPlot that
are close to what I want, but in both cases there is an interpolation, which
is OK but it is not necessary, and I would like to be able to generate a
graphic (2D or 3D) without any interpolation.
More precisely, I would like to generate a 2D graphic, the X and Y axis
representing the discrete variables x and y, respectively, with a
"point" (or "big square") for each integer combination of (x, y), the color
of the point being related with the value of myfunc(x,y) . I mean, the
greater the value of myfunc(x,y) is, the lighter (or whatever) the color
of the associated point is. It would be like a kind of "ListContourPlot",
but without interpolating.
I have data arranged in this way:
DataForPlotting = Table[myfunc[x, y], {x, 1, 20, 1}, {y, 1, 20, 1}]
but of course I could do it in another way if necessary.
This is an image of what I want to achieve:
http://dl.dropbox.com/u/155485/discrete_contour_plot.png . In case you
can't access it, please let me know it.
I think it can be possible to build a graphic similar to that one with
Mathematica, but I am not sure of the easiest (or more logical or more
practical) way to do it, as I am just a beginner.
So, I would appreciate your help in this point.
Thank you very much in advance for your help!
--
Vicent Giner-Bosch