chain code for line
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here is my question : in this image which I have attached , starting from (x,y) or (s,t)how can I write the chain code for the line ? what is proper idea to write its code ? a lot of thank for everyone help me or try to help .

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I've no idea what a chain code is, but if you're wanting to trace the path from (s,t) to (I,J) isn't it simply finding which of the eight neighbouring pixel is black, excluding pixels you've already been through.
currentrow = s;
currentcol = t;
path = [currentrow currentcol]
while currentrow ~= I && currentrow ~= J
[neighbours(:, 1), neighbours(:, 2)] = find(img(currentrow-1:currentrow+1, currentcol-1:currentcol+1) & [1 1 1;1 0 1;1 1 1])); %ignoring edge issues here
notvisited = ~ismember(neighbours, path, 'rows');
path = [path; neighbours(notvisited)]; %assumes there's only ever one non-visited neighbour
currentrow = neighbours(notvisited, 1);
currentcol = neighbours(notvisited, 2);
end
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