I came up with a bit of a hack for doing this. It uses file-handling, and therefore is not so elegant, but it seems to work. Just add this method to whatever class you want to copy:
function new = copy(this)
save('temp.mat', 'this');
Foo = load('temp.mat');
new = Foo.this;
delete('temp.mat');
end
Example usage (assumes copy() is a method in class MyClass):
A = MyClass();
B = A.copy();
