How to get a tilted slice in 3-D data?

By using slice in MATLAB, I can get a slice plot which is perpendicular to the axes. But I was wondering how to get a tilted slice (not perpendicular to the axes), like the picuture shown?

Answer 1

[Aniruddha Katre]

See the section about slicing at arbitrary angles of the documentation page for the slice function.

https://www.mathworks.com/help/releases/R2016b/matlab/ref/slice.html#f33-509125

Here's a quick example:

% Data
[x, y, z] = meshgrid(-3:1:3);
v = x.^2 + y.^2 + z.^2;

% Data defining a surface
[xs, ys] = meshgrid(-3:1:3);
zs = -xs + ys;

% Slice along it
slice(x, y, z, v, xs, ys, zs)
colorbar

[Yinchao Chen]

Much appreciated. I've got the answer on: http://cn.mathworks.com/help/matlab/ref/rotate.html for a more specifically solution. By defining the direction, I can thus calculate the alpha i need.