clear
close all

% make figure window
fh = figure('Color', [1 1 1]);

% make axes
ax = axes;

% plot some data
p = plot(randn(100,1));

% make sure objects have been created
drawnow;

% set axis properties
ax.Box     = 'Off';
ax.XLim    = [-10 110];
ax.XTick   = 0:25:100;
ax.YLim    = 4 * [-1 1];
ax.YTick   = -3:3;
ax.TickDir = 'Out';

% offset
ax.XAxis.Axle.VertexData = single([0 100; -4 -4; -1 1]);
ax.YAxis.Axle.VertexData = single([-10 -10; -3 3; -1 1]);

% print
print('-bestfit','-dpdf','-opengl','test');

@Vaishta – you have to read the Matlab documentation about how to create GUI callbacks and how to share data between GUI components/callbacks (https://www.mathworks.com/help/matlab/creating_guis/share-data-among-callbacks.html). In general, you need to store the axes handles in a location that is accessible to the callback function (for example, in the button’s UserData property). It looks like you’re using GUIDE to create your GUI, and in this case you could also access the axes handles via the handles structure.

I’m afraid that all this is pretty basic Matlab GUI stuff, which is not the subject of this blog – this blog specializes on advanced aspects, I leave the basics to the Matlab documentation and other forums/blogs. If you’re still having problems with this, you could either post a question on the Matlab Answers forum, or contact me offline for a private consulting session.

I have also tried the

set(ax1,'NextPlot','replaceall')
set(ax2,'NextPlot','replaceall')
set(ax3,'NextPlot','replaceall')

in the callback after the plot() function but its of no use … it still shows the old axes line, ticks and labels.
including the @axes1_DeleteFcn option in the callback but no use …

Thank you for information. Can you tell how to implement it in pushbutton callback ?
Because when I use following code

ax = ax1; ax = ax2; ax= ax3;
delete(ax1);delete(ax2);delete(ax3) 
...
...
ax1 = axes(...,'Position',[...])
plot(ax1,...)
ax2 = axes(...,'Position',[...])
plot(ax2,...)
ax3 = axes(...,'Position',[...])
plot(ax3,...)

at beginning of callback to delete axes handle
it throws error undefined function or variable ax1, ax2, … ax3

@Vaishta – gca (=”get current axes”) only gets updated when you click or create an axes. If you want your button’s callback to refer to a specific axes, which may or may not be the currently-active axes, you should use not gca but the actual axes handle (the output of the axes function). Read the Matlab documentation for more information.

However, when I press pushbutton next time, it still retains the old Axis values although it replaces data from plot. It appears very cluttered. This happens every time I use the pushbutton.
How can I clear the axes and set it fresh so that old axes and its values disappear ?

I have already tried these options below but no use … it still shows the old axes labels/tick labels etc.

ax = gca
delete(ax.Children)
ax.YRuler.Axle.LineStyle = 'none';
ax.XRuler.Axle.LineStyle = 'none';
ax.YRuler.HandleVisibility = 'off';
ax.XRuler.HandleVisibility = 'off';

As an alternative, try to improve the performance of your scatter plot by either plotting a vector of 100+ points (as odd as it may sound, scatter-plotting 80 points is slower than plotting 2×80=160 points!), or use the low-level line function rather than scatter.

@Matthew – is your 14b using hardware OpenGL? some HG2 performance issues are due to the fact that it uses more advanced OpenGL features than HG1, so what used to run at hardware-acceleration speed on 14a (HG1) may now run at much slower software speed in 14b (HG2). Upgrading the display driver sometimes helps. I discussed this last week.

Of course, upgrading the driver is not an all-encompassing panacea. Performance issues have been an ongoing issue with HG2. I know for a fact that MathWorks are investing a lot of effort to improve this, but it might take another release or two for things to really settle down.