Axis ticklabels grouping with subgroups for grid plot

I have a grid that I want to plot via surface / meshgrid / imagesc etc in 2D plot. Instead of showing

For example:

x=1:0.1:4

y=1:0.1:4

[X,Y]=meshgrid(x,y)

Z=sin(X).^2+cos(Y).^2

surf(X,Y,Z)

view(2)

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Instead of showing non-informative tick labels both on X, Y axis, I need to group them in some arbitrary logic and subgroup certain XY elements within a group to get following result:

Is this possible at all via MATLAB plot?

[Dyuman Joshi]

I don't think it's possible to draw boxes as you have indicated (unless you draw them as a part of a plot, which is going to be a hassle), but you can modify the x and y tick labels to get the text accordingly.