Multiple X-axes non linear to each other

I am aware that one can generate a plot with two x-axes, is it also posibble to generate such a plot with the x-axes non linear to each other.

I have a vector which can be plotted against both a distance and an angle, but the relationship between these two is not linear. Is it possible to plot the data against both variables in a single plot?

The vectors are not x,y,z, they are rather: y=data; x1=angle; x2=distance;

Using hold on/off doesn't really answer my question nor suit my data.

I have tried using the Multiple-X and Y axis approach from MATLAB docs (<http://www.mathworks.se/help/matlab/creating_plots/using-multiple-x-and-y-axes.html)>. Using the coding below, but the display allows for misinterpretation for the relationship between angle and distance hinting at a linear relationship. What I need is that in the plot below, the axes are so that the curves overlap.

distance=0:12:9000;
angle=atan(distance/1000)*(180/(2*pi));
data=logspace(0,1,length(distance));

x1 = angle;
y1 = data;
x2 = distance;
y2 = data;

figure;
l1 = line(x1,y1,'Color','r');
ax1 = gca;
set(ax1,'XColor','r','YColor','r')

ax2 = axes('Position',get(ax1,'Position'),...
         'XAxisLocation','top',...
         'YAxisLocation','right',...
         'Color','none',...
         'XColor','k','YColor','k');

hl2 = line(x2,y2,'Color','k','Parent',ax2);

[Azzi Abdelmalek]

You do not need to post all these data, just tell what are the sizes of your vectors. Or post a short sample of your data

[Marina]

Noted!, I've made nicer looking vectors

[Marina]

I am looking for something similar to this, but for the x-axes only: http://i.stack.imgur.com/88llX.gif

Answer 1

[Azzi Abdelmalek]

If your vectors are x, y and z

plot3(x,y,z)

In your case

plot3(distnace,angle,data)

%or maybe you are looking for two plots

plot(distance,data,'g')
hold on
plot(angle,data,'r')
hold off

[Marina]

refer to updated question

[Azzi Abdelmalek]

The relation between your data (linear or not) is not important, since you want just have the plots. Also, please remove the data you've posted above. They are not helpful or at least post 10 lines of data.

You can use plotyy

plotyy(x1,y1,x2,y2)

[Marina]

Nope, been there, done that, that is not the plot that I am looking for. The relationship between the data is of the outmost importance and I need it to be expressed through the plot.

[Azzi Abdelmalek]

You have 3 variables:data, angle, and distance. What do you want to plot?

[Marina]

data vs angle AND data vs distance in the same plot BUT keeping the proportionality between angle and distance and by this I mean having either angle or distance (I dont really mind which) NOT being a linear axis, meaning, NOT going from 0 to its maximum at equal spacing but rather at the spacing dictated by their proportionality.

Quirky example: run the code I put on my question above

in the plot it seems as if distance=5000 equal an angle=25, when in reality, distance=5000 corresponds to angle=39.3549deg. I want a plot that reflects this.

[Azzi Abdelmalek]

Then, what you want to do is to plot (data,angle), then just add a second x-axis (distance). Is that what you want?

[Marina]

Yes BUT that the second axis reflects the relationship between angle and distance.

Because I do know how and have done already a plot with two x-axes (That's the code attached to the question), whats missing, is for the second axis to reflect its relationship with the primary axis.