I want a matrix to be represented in the form of an array

I want a image matrix 512x512 to be represented in the array form or simply in a straight line while scanning the matrix in inverse S way. I have attached an image to make it clear

[David Barry]

There is no image attached.

[akash bais]

Answer 1

[Roger Stafford]

Here are the “Pixel Scan” and “Rearrange” operations:

% Let M be the m by n image matrix
% Pixel Scan:
M = M.';
M(:,2:2:end) = flipud(M(:,2:2:end)); % Flip even columns
M = M(:);  % The result is a column vector

Then perform the “Difference computation”, the “Histogram shifting” and the “Embedding” on M.

% Now M is still a column vector
% Rearrange:
M = reshape(M,n,m); % <-- Note the reversal of sizes here
M(:,2:2:end) = flipud(M(:,2:2:end));  % Flip even columns
M = M.';

% M is again an m by n image matrix.

The "Difference computation" is an obvious use of the ‘diff’ function. I have no idea how to do the “Histogram shifting” or the “Embedding”.

Answer 2

[David Barry]

a = rand(512, 512);
a = a(:);