how to reorder the elements of a matrix

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Alina 2014-3-29

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编辑： Sagar Damle 2014-3-31

 A=[1   2   3   4
 6   7   8
 10  11  12
14  15  16]

i want to reorder the elements of A into

 A=[16  15  12  8
14  13  10
 4   3   6
 5   2   1 ]

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Roger Stafford 2014-3-30

What would your pattern be if A were 5x5, 6x6, or nxn? Are you interested in generalizing in that manner?

Alina 2014-3-30

only for 4 x 4 matrix

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回答（2 个）

Star Strider 2014-3-29

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编辑：Star Strider 2014-3-29

在 MATLAB Online 中打开

Here’s one solution. I have no idea if it can be generalised to other matrices.

B = flipud(A)
dl = size(A,1);
C = [];
for k1 = sum(size(A))-1 : -1 : 1
    dg = diag(B,k1-dl)
    if mod(k1,2) == 1
        dg = flipud(dg)
    end
    C = [C;  dg]
end
D = reshape(C,size(A))'

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Roger Stafford 2014-3-29

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/123645-how-to-reorder-the-elements-of-a-matrix#answer_131320

在 MATLAB Online 中打开

Here's a one-liner, though it doesn't exhibit the ingenuity that Star's does.

A = A([16,12,15,14;11,8,4,7;10,13,9,6;3,2,5,1]);

Like Star, I have no idea how this is supposed to generalize. I think you will have to give many more examples or else a more thorough explanation than "zig-zag" if the logic behind this request is to be understood, Alina.

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Image Analyst 2014-3-30

编辑：Image Analyst 2014-3-30

Nice and simple. She did not ask for it to be generalized. Hence, this is what she gets as the most direct answer. If she comes back and says "how can I generalize?" then you can say "Well, why didn't you say so in the beginning!?!?"

Sagar Damle 2014-3-30

编辑：Sagar Damle 2014-3-31

I think to generalize the answer for this question,one can work on code for function 'pascal()' available in MATLAB.I have not got the logic in that code uptil now,but though I think that the code will help in zig-zag coding.

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