Given an element of a matrix, How to print all the arrays containing that element?

Question

sangeet sagar 2019-3-10

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评论： Jan 2019-3-11

Given an element of a matrix, I need to print all the arrays containing that element. So basicaly for each element I need 4 arrays.

Suppose I have the matrix:

A = magic(4)

A =

16 2 3 13

5 11 10 8

9 7 6 12

4 14 15 1

If I give input

x = 7

I should get output as:

out1 = 0  9  6  12
out2 = 0  2  11  14
out3 = 0  5  15  0
out4 = 13 10  4  0

Any help will be appreciated. Thank You.

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sangeet sagar 2019-3-10

No Jan, this is not a home work. I am trying image reconstruction using regression polynomial. If I find out how to do this, I would try it on a image matrix

Jan 2019-3-11

And what is the wanted output for x=4? Is it wanted, that the mask is not symmetric?

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Answer 1

Stephen23 2019-3-11

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https://ww2.mathworks.cn/matlabcentral/answers/449296-given-an-element-of-a-matrix-how-to-print-all-the-arrays-containing-that-element#answer_364753

编辑：Stephen23 2019-3-11

在 MATLAB Online 中打开

This should get you started, adjust as required:

>> A = magic(4)
A =
   16    2    3   13
    5   11   10    8
    9    7    6   12
    4   14   15    1
>> N = 7;
>> Rv = {[+0,+0,+0,+0],[-3,-2,-1,+1],[-2,-1,+1,+2],[-2,-1,+1,+2]};
>> Cv = {[-2,-1,+1,+2],[+0,+0,+0,+0],[-2,-1,+1,+2],[+2,+1,-1,-2]};
>> B = zeros(size(A)+5);
>> B(4:end-2,4:end-2) = A;
>> [Rx,Cx] = find(B==N);
>> F = @(r,c)reshape(B(sub2ind(size(B),Rx+r,Cx+c)),1,[]);
>> Z = cellfun(F,Rv,Cv,'Uni',0);
>> Z{:}
ans =
    0    9    6   12
ans =
    0    2   11   14
ans =
    0    5   15    0
ans =
   13   10    4    0