How to make coordinate similar of two different array in matlab - matlab

I have two different arrays. I want to make them similar. For example
If difference between coordinates of two array is 1 then it will make it similar otherwise not.It would be nice If anybody help me out.

Let
A =
1 5
2 6
3 7
4 8
5 9
6 1
7 2
and
B =
2 6
3 7
4 8
5 9
7 1
8 2
7 5
ismember() will give you all the indices which have difference equal to 1
ismember(B-A,1)
ans =
1 1
1 1
1 1
1 1
0 0
0 1
0 0
and then
>> B(ismember(B-A,1)) = A(ismember(B-A,1))
B =
1 5
2 6
3 7
4 8
7 1
8 1
7 5
as you can see replaces all the values in B which have difference equal to 1 as B

Related

How to access n-D matrix with n index vectors? [duplicate]

This question already has answers here:
MATLAB: how to pass in the diagonal of a matrix as an argument in another matrix?
(2 answers)
Closed 6 years ago.
I have a matrix
A = repmat(1:7,7,1);
I have index vectors
idx1 = [1 3 5];
idx2 = [1 3 5];
I want to access A at the 2d coordinates denoted by idx1(i),idx2(i).
When I do
A(idx1,idx2) = 0;
I get for each element in idx 1, all the elements in idx2 as well.
I want only the corresponding elements to be assigned the zero value.
Again: I get
A =
0 2 0 4 0 6 7
1 2 3 4 5 6 7
0 2 0 4 0 6 7
1 2 3 4 5 6 7
0 2 0 4 0 6 7
1 2 3 4 5 6 7
1 2 3 4 5 6 7
but I want
A =
0 2 3 4 5 6 7
1 2 3 4 5 6 7
1 2 0 4 5 6 7
1 2 3 4 5 6 7
1 2 3 4 0 6 7
1 2 3 4 5 6 7
1 2 3 4 5 6 7
How to achieve this?
Thanks
The easiest way is probably to use sub2ind to generate the linear indices needed to index into A:
linear_ind = sub2ind(size(A),idx1,idx2);
A(linear_ind) = 0;

Loop through all combinations of 8 in 15 MATLAB

I have this matrix and want to make all combinations of column composed square matrixes (8x8) composed from this data.
4 2 4 3 2 3 3 2 8 4 9 7 6 6 6
2 0 4 1 0 3 0 8 5 0 9 3 7 7 1
2 1 2 1 1 3 1 4 5 2 4 2 6 6 3
0 0 2 2 1 2 3 9 1 1 4 4 4 4 6
4 0 1 0 4 2 3 1 8 1 3 0 5 5 7
3 1 4 0 0 1 0 2 6 2 9 1 2 2 0
1 2 1 4 0 3 4 1 3 4 3 9 7 7 9
2 0 0 4 0 0 3 1 5 0 1 9 1 1 7
Even after reeding Matlab Loop of all combinations
I'm not really sure how to do all the matrix combinations and include the counter from the for loop in the name of the combination obtained in the itteration.
I called your matrix A.
p=nchoosek(1:15,8);
gives all the combinations of 8 numbers taken from 1 to 15. These represent the columns of the matrix A that you want.
There are now 3 ways to proceed. Firstly, using a for loop:
M=zeros(8,8,size(p,1));
for i=1:size(p,1)
M(:,:,i)=A(:,p(i,:));
end
which puts each 8x8 matrix into a larger 3D array. You would get out individual matrices by doing M(:,:,54), for example.
You can also create a cell array:
N=arrayfun(#(k) A(:,p(k,:)),1:size(p,1),'UniformOutput',false);
and get individual matrices by doing N{54}.
Finally, you could not precompute each matrix, and just pull out the appropriate columns when you need them. This may be the most efficient method if you don't reuse the matrices:
O=A(:,p(54,:));

Summation of matrices

I want to sum together each cell in the same position for each matrix. I have k amount of (i,j) matrices stored in MATLAB as (i,j,k) and I want to create one matrix which is the sum of all them - however the MATLAB command sums together every value in each column whereas I want to sum together each cell in the same position from each matrix.
1 3 4 3 4 0 2 4 4
0 3 1 2 7 8 0 3 1
9 0 2 0 1 2 1 2 3
I want to create a matrix that is:
1+3+2 3+4+4 4+0+4
0+2+1 3+7+3 1+8+1
9+0+1 0+1+2 2+2+3
=
6 11 8
3 13 10
10 3 7
Use a second input to sum specifying the dimension along which to sum (in your case, 3):
>> A(:,:,1) = [ 1 3 4
0 3 1
9 0 2 ];
>> A(:,:,2) = [ 3 4 0
2 7 8
0 1 2 ];
>> A(:,:,3) = [ 2 4 4
0 3 1
1 2 3 ];
>> sum(A,3)
ans =
6 11 8
2 13 10
10 3 7

Match patterns in a matrix with a variable number of lines and count them in Matlab

I have a matrix like this one:
8
8
8
2
2
2
6
6
7
7
7
1
1
6
6
6
6
8
8
0
6
8
8
1
6
6
There are fixed patterns that always repeat. I would like to detect them. They repeat according to these rules:
Lines with 7 followed by lines with a number which can be (0, 1 or 2), followed by a 6
Lines with 8 followed by lines with a number which can be (0, 1 or 2), followed by a 6
For each one of the values on a single pattern detected (independently from the number of lines they are composed of), write in a second column a number of rank, starting from 1 and incrementing each time a new pattern in column one is detected. This would be the result:
8 1
8 1
8 1
2 1
2 1
2 1
6 1
6 1
7 2
7 2
7 2
1 2
1 2
6 2
6 2
6 2
6 2
8 3
8 3
0 3
6 3
8 4
8 4
1 4
6 4
6 4
Column 2 encodes in each line the first pattern (series of values = 1 meaning that on this line there is data related to patter 1), the second pattern (values 2) and so on...
How can I do that?
Here's a solution that only uses the "closing tags" to split the matrix into parts:
function b = replaceValues(a)
closingTag = 6;
% Find all closing tag positions
clTagPos = a(:, 1) == closingTag;
% Keep only the "last" tags and add matrix start/end positions
splitPoints = [0; find(diff(clTagPos) == -1); length(a)];
% Split matrix into cell array
acell = mat2cell(a, diff(splitPoints));
% Replace the second column of each part with the corresponding non-zero value
bcell = cellfun(#(c)[c(:, 1) ones(length(c), 1)*c(find(c(:, 2), 1), 2)], acell, 'UniformOutput', 0);
% Convert back to matrix
b = cell2mat(bcell);
end
Example input-output in Matlab:
a =
8 0
8 0
8 0
2 1
2 1
2 1
6 0
6 0
7 0
7 0
7 0
1 2
1 2
6 0
6 0
6 0
6 0
8 0
8 0
0 3
6 0
8 0
8 0
1 4
6 0
6 0
>> b = replaceValues(a)
b =
8 1
8 1
8 1
2 1
2 1
2 1
6 1
6 1
7 2
7 2
7 2
1 2
1 2
6 2
6 2
6 2
6 2
8 3
8 3
0 3
6 3
8 4
8 4
1 4
6 4
6 4

Choose specific values in matrix in MATLAB

I would like to select some numbers in a MATLAB matrix which have values greater than 4 and set them equal to zero.
For example:
A=[5 6 1 3 4 9 2 8 3];
Now, replace all values greater than 4 with zeros and store as a new matrix A1:
A1=[0 0 1 3 4 0 2 0 3];
You might want to try something like this:
A(A>4)=0
Here it is:
>> A=[5 6 1 3 4 9 2 8 3]
A =
5 6 1 3 4 9 2 8 3
>> A(A>4)=0
A =
0 0 1 3 4 0 2 0 3