Gnuplot: 4d color plot using matrix format

Question

I know that for a 4d color plot (3d surface, and the color is given by a 4th field), I can use a datafile of the format

# X Y Z C
  1 1 0 4
  1 2 1 3

  2 1 4 2
  2 2 4 5
  ...

and then use

set pm3d
splot "datafile.dat" u 1:2:3:4 with pm3d

On the other hand, I know how to make a simple surface plot where the X and Y values are implicit while the Z value is in matrix format:

#Z DATA ONLY
0 1
4 4

splot "datafile.dat" matrix 

Is there a way to make 4d color plots using this matrix format? For example, taking the Z data from one file and the corresponding color data from another file, or combining both the Z value and the color into a single file in matrix format?

Answer 1

If I'm understanding the question correctly, this does appear possible. See the examples below.

1. http://www.gnuplotting.org/tag/matrix/

   All we need to create such a plot is the image plot style, and of course the data have to be in a proper format. Suppose the following matrix which represents z-values of a measurement.

   0 1 2 3 4 3 2 1 0
   0 1 2 3 4 3 2 1 0
   0 1 2 3 4 3 2 1 0
   0 1 2 3 4 3 2 1 0
   0 1 2 3 4 3 2 1 0
   0 1 2 3 4 3 2 1 0
   0 1 2 3 4 3 2 1 0
   0 1 2 3 4 3 2 1 0
   0 1 2 3 4 3 2 1 0
   

   In order to plot these values in different gray color tones, we specify the corresponding palette. In addition we apply the above mentioned image plot style and the matrix format option. The result is shown in Fig. 2.

   set palette grey
   plot 'color_map.dat' matrix with image
   

   

2. http://gnuplot.sourceforge.net/demo/heatmaps.html

   #
   # Two ways of generating a 2D heat map from ascii data
   #
   
   set title "Heat Map generated from a file containing Z values only"
   unset key
   set tic scale 0
   
   # Color runs from white to green
   set palette rgbformula -7,2,-7
   set cbrange [0:5]
   set cblabel "Score"
   unset cbtics
   
   set xrange [-0.5:4.5]
   set yrange [-0.5:4.5]
   
   set view map
   splot '-' matrix with image
   5 4 3 1 0
   2 2 0 0 1
   0 0 0 1 0
   0 0 0 2 3
   0 1 2 4 3
   e
   e
   

   

Answer 2

I dont think this is what the original question was after.

My understanding was that he wants to draw colored spheres in 3d space, such that XYZ are the coordinates and C is the color intensity. Is this the case ?