I\'m trying to model a certain progress through some environment. The x axis would represent the location (based on x coordinate) in the environment.
In order to ma
You can either plot both the image and the data in one plot command, or with multiplot. The first variant is easier, but the image is inside the plot, the other is a bit more complicated, but allows arbitrary positioning of the "axis image".
The dummy image "gradient.png" for the axis is

set yrange[0:1]
set xrange[0:1]
plot 'gradient.png' binary filetype=png dx=0.0015 dy=0.002 with rgbimage t '',\
x**2
The result is:

set yrange[0:1]
set xrange[0:1]
set lmargin at screen 0.1
set rmargin at screen 0.98
set tmargin at screen 0.98
set bmargin at screen 0.2
set xtics offset 0,-1.5
set xlabel 'xlabel' offset 0,-1.5
set ylabel 'ylabel'
set multiplot
plot x**2
set tmargin at screen 0.2
set bmargin at screen 0.15
unset border
unset tics
unset xlabel
unset ylabel
unset key
set autoscale xy
plot 'gradient.png' binary filetype=png with rgbimage
unset multiplot
As you can see, this requires a bit more effort. To explain the details:
You must set explicit margins so that the axis image can be placed exactly below the main plot.
Before plotting the axis image, you must remove tics, labels, reset ranges to autoscale etc. (Therefore you must also set fixed lmargin and rmargin).
To plot the image itself, use the plotting style with rgbimage.
You must fine-tune the xtics and xlabel offset, as well as the marings.
The resulting image is:
