Semester assignments for the course "Digital Image Processing" of THMMY in AUTH university.
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function clusterIdx = myNCuts (anAffinityMat, k)
%Implementation of the N-cuts algorithm
% Usage clusterIdx = myNCuts (anAffinityMat, k), where:
% Inputs
% - anAffinityMat is a rectangular, symmetrical affinity matrix
% representation of an image
% - k is the desired number of clusters
% Output
% - clusterIdx is a vector storing the cluster Id of each node
% Makes sure preconditions are met
if ~issymmetric(anAffinityMat)
error('The affinity matrix provided is not symmetric.');
end
if k < 2
error('The number of clusters must be greater than two.');
end
% Calculates the eigenvectors
D = diag(sum(anAffinityMat, 2));
[eigenvectorsMatrix, ~] = eigs(double(D - anAffinityMat), double(D), ...
k, 'sm');
% Does the clustering using K-Means
clusterIdx = kmeans(eigenvectorsMatrix, k);
end