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Add experiments to report

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Apostolos Fanakis 6 years ago
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  1. 32
      Assignment_2/report/6.0.demo2.tex
  2. 6
      Assignment_2/report/7.0.demo3.tex
  3. 124
      Assignment_2/report/7.1.demo3a.tex
  4. 53
      Assignment_2/report/7.2.demo3b.tex
  5. 0
      Assignment_2/report/7.3.demo3c.tex
  6. 19
      Assignment_2/report/report.tex
  7. 4
      Assignment_2/report/res/demo1_f1.pdf_tex
  8. 149
      Assignment_2/report/res/demo1_f1.svg
  9. 4
      Assignment_2/report/res/demo1_f2.pdf_tex
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      Assignment_2/report/res/demo1_f2.svg
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      Assignment_2/report/res/demo1_f3.pdf_tex
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      Assignment_2/report/res/demo1_f3.svg
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      Assignment_2/report/res/demo2_e1_f1.pdf_tex
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      Assignment_2/report/res/demo2_e1_f1.svg
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      Assignment_2/report/res/demo2_e1_f2.pdf_tex
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      Assignment_2/report/res/demo2_e1_f2.svg
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      Assignment_2/report/res/demo2_e1_f3.pdf_tex
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      Assignment_2/report/res/demo2_e1_f3.svg
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      Assignment_2/report/res/demo2_e1_f4.pdf_tex
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      Assignment_2/report/res/demo2_e1_f4.svg
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      Assignment_2/report/res/demo2_e1_g.pdf_tex
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      Assignment_2/report/res/demo2_e1_g.svg
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      Assignment_2/report/res/demo2_e2_f1.pdf_tex
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      Assignment_2/report/res/demo2_e2_f1.svg
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      Assignment_2/report/res/demo2_e2_f2.pdf_tex
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      Assignment_2/report/res/demo2_e2_f2.svg
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      Assignment_2/report/res/demo2_e2_f3.pdf_tex
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      Assignment_2/report/res/demo2_e2_f3.svg
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      Assignment_2/report/res/demo2_e2_f4.pdf_tex
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      Assignment_2/report/res/demo2_e2_f4.svg
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      Assignment_2/report/res/demo2_e2_f5.pdf_tex
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      Assignment_2/report/res/demo2_e2_f5.svg
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      Assignment_2/report/res/demo2_e2_f6.pdf_tex
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      Assignment_2/report/res/demo2_e2_f6.svg
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      Assignment_2/report/res/demo2_e2_f7.pdf_tex
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      Assignment_2/report/res/demo2_e2_f7.svg
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      Assignment_2/report/res/demo2_e2_g.pdf_tex
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      Assignment_2/report/res/demo2_e2_g.svg
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      Assignment_2/report/res/demo3a_e1_f1.pdf_tex
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      Assignment_2/report/res/demo3a_e1_f1.svg
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      Assignment_2/report/res/demo3a_e1_f2.pdf_tex
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      Assignment_2/report/res/demo3a_e1_f2.svg
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      Assignment_2/report/res/demo3a_e1_f3.pdf_tex
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      Assignment_2/report/res/demo3a_e1_f3.svg
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      Assignment_2/report/res/demo3a_e1_f4.pdf_tex
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      Assignment_2/report/res/demo3a_e1_f4.svg
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      Assignment_2/report/res/demo3a_e2_f1.pdf_tex
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      Assignment_2/report/res/demo3a_e2_f1.svg
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      Assignment_2/report/res/demo3a_e2_f2.pdf_tex
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      Assignment_2/report/res/demo3a_e2_f2.svg
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      Assignment_2/report/res/demo3a_e2_f3.pdf_tex
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      Assignment_2/report/res/demo3a_e2_f3.svg
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      Assignment_2/report/res/demo3a_e2_f4.pdf_tex
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      Assignment_2/report/res/demo3a_e2_f4.svg
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      Assignment_2/report/res/demo3a_e2_f5.pdf_tex
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      Assignment_2/report/res/demo3a_e2_f5.svg
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      Assignment_2/report/res/demo3a_e2_f6.pdf_tex
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      Assignment_2/report/res/demo3a_e2_f6.svg
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      Assignment_2/report/res/demo3a_e2_f7.pdf_tex
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      Assignment_2/report/res/demo3a_e2_f7.svg
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      Assignment_2/report/res/demo3b_e1_f1.pdf_tex
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      Assignment_2/report/res/demo3b_e1_f1.svg
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      Assignment_2/report/res/demo3b_e1_f2.pdf_tex
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      Assignment_2/report/res/demo3b_e1_f2.svg
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      Assignment_2/report/res/demo3b_e2_f1.pdf_tex
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      Assignment_2/report/res/demo3b_e2_f1.svg
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      Assignment_2/report/res/demo3b_e2_f2.pdf_tex
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      Assignment_2/report/res/demo3b_e2_f2.svg
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      Assignment_2/report/res/demo3b_e2_f3.pdf_tex
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      Assignment_2/report/res/demo3b_e2_f3.svg

32
Assignment_2/report/6.0.demo2.tex

@ -15,7 +15,7 @@
\begin{multicols}{2}
\begin{figure}[H]
\centering
\resizebox{.5\textwidth}{!}{
\resizebox{.4\textwidth}{!}{
\colorbox{shadecolor}{\input{res/demo2_e1_f1.pdf_tex}}
}
\caption{Αρχική εικόνα (``\texttt{d2a}'')}
@ -23,7 +23,7 @@
\begin{figure}[H]
\centering
\resizebox{.5\textwidth}{!}{
\resizebox{.4\textwidth}{!}{
\colorbox{shadecolor}{\input{res/demo2_e1_f2.pdf_tex}}
}
\caption{Κατάτμηση πρώτης εικόνας (``\texttt{d2a}'') σε 2 ομάδες}
@ -33,7 +33,7 @@
\begin{multicols}{2}
\begin{figure}[H]
\centering
\resizebox{.5\textwidth}{!}{
\resizebox{.4\textwidth}{!}{
\colorbox{shadecolor}{\input{res/demo2_e1_f3.pdf_tex}}
}
\caption{Κατάτμηση πρώτης εικόνας (``\texttt{d2a}'') σε 3 ομάδες}
@ -41,7 +41,7 @@
\begin{figure}[H]
\centering
\resizebox{.5\textwidth}{!}{
\resizebox{.4\textwidth}{!}{
\colorbox{shadecolor}{\input{res/demo2_e1_f4.pdf_tex}}
}
\caption{Κατάτμηση πρώτης εικόνας (``\texttt{d2a}'') σε 4 ομάδες}
@ -63,7 +63,7 @@
\begin{multicols}{2}
\begin{figure}[H]
\centering
\resizebox{.5\textwidth}{!}{
\resizebox{.4\textwidth}{!}{
\colorbox{shadecolor}{\input{res/demo2_e2_f1.pdf_tex}}
}
\caption{Αρχική εικόνα (``\texttt{d2b}'')}
@ -71,7 +71,7 @@
\begin{figure}[H]
\centering
\resizebox{.5\textwidth}{!}{
\resizebox{.4\textwidth}{!}{
\colorbox{shadecolor}{\input{res/demo2_e2_f3.pdf_tex}}
}
\caption{Κατάτμηση πρώτης εικόνας (``\texttt{d2b}'') σε 2 ομάδες, grayscale χρώματα}
@ -81,7 +81,7 @@
\begin{multicols}{2}
\begin{figure}[H]
\centering
\resizebox{.5\textwidth}{!}{
\resizebox{.4\textwidth}{!}{
\colorbox{shadecolor}{\input{res/demo2_e2_f5.pdf_tex}}
}
\caption{Κατάτμηση πρώτης εικόνας (``\texttt{d2b}'') σε 3 ομάδες, grayscale χρώματα}
@ -89,7 +89,7 @@
\begin{figure}[H]
\centering
\resizebox{.5\textwidth}{!}{
\resizebox{.4\textwidth}{!}{
\colorbox{shadecolor}{\input{res/demo2_e2_f7.pdf_tex}}
}
\caption{Κατάτμηση πρώτης εικόνας (``\texttt{d2b}'') σε 4 ομάδες, grayscale χρώματα}
@ -101,7 +101,7 @@
\begin{multicols}{2}
\begin{figure}[H]
\centering
\resizebox{.5\textwidth}{!}{
\resizebox{.4\textwidth}{!}{
\colorbox{shadecolor}{\input{res/demo2_e2_f1.pdf_tex}}
}
\caption{Αρχική εικόνα (``\texttt{d2b}'')}
@ -109,7 +109,7 @@
\begin{figure}[H]
\centering
\resizebox{.5\textwidth}{!}{
\resizebox{.4\textwidth}{!}{
\colorbox{shadecolor}{\input{res/demo2_e2_f2.pdf_tex}}
}
\caption{Κατάτμηση πρώτης εικόνας (``\texttt{d2b}'') σε 2 ομάδες, χρωματικός διάμεσος}
@ -119,7 +119,7 @@
\begin{multicols}{2}
\begin{figure}[H]
\centering
\resizebox{.5\textwidth}{!}{
\resizebox{.4\textwidth}{!}{
\colorbox{shadecolor}{\input{res/demo2_e2_f4.pdf_tex}}
}
\caption{Κατάτμηση πρώτης εικόνας (``\texttt{d2b}'') σε 3 ομάδες, χρωματικός διάμεσος}
@ -127,11 +127,17 @@
\begin{figure}[H]
\centering
\resizebox{.5\textwidth}{!}{
\resizebox{.4\textwidth}{!}{
\colorbox{shadecolor}{\input{res/demo2_e2_f6.pdf_tex}}
}
\caption{Κατάτμηση πρώτης εικόνας (``\texttt{d2b}'') σε 4 ομάδες, χρωματικός διάμεσος}
\end{figure}
\end{multicols}
Όπως φαίνεται στις εικόνες ο αλγόριθμος έχει ικανοποιητικά αποτελέσματα σε όλες τις περιπτώσεις αριθμού ομάδων.
Στη περίπτωση των δύο ομάδων θα ήταν ιδανικό να διαχωριστεί το καμπυλόγραμμο τετράγωνο που βρίσκεται ``μπροστά'' από το λευκό φόντο που βρίσκεται πίσω. Στη περίπτωση αυτή ο αλγόριθμος έχει μέτρια αποτελέσματα, ομαδοποιόντας τα χέρια της φιγούρας του Mario στην ίδια ομάδα με το φόντο.
Στη περίπτωση των τριών ομάδων θα ήταν ιδανικό να δημιουργηθούν οι ομάδες ώστε να περιέχουν η μία το λευκό φόντο, η άλλη το μπλε φόντο της φιγούρας και η τρίτη τη φιγούρα. Και εδώ ο αλγόριθμος δίνει μέτρια αποτελέσματα.
Στη περίπτωση των τεσσάρων ομάδων ισχύει ό,τι και στη προηγούμενη, δηλαδή για τρείς ομάδες.
Παρατηρείται ότι ο αλγόριθμος έχει σχετικά ικανοποιητικά αποτελέσματα αλλά επιδέχεται βελτίωσης.

6
Assignment_2/report/7.0.demo3.tex

@ -0,0 +1,6 @@
\section{Τρίτη σειρά πειραμάτων}
Στη τρίτη σειρά πειραμάτων γίνεται παρουσίαση της λειτουργίας και των αποτελεσμάτων των συναρτήσεων \texttt{myNCuts} και \texttt{calculateNCuts}. Τα πειράματα εκτελούνται με κλήση των scripts \texttt{demo3a}, \texttt{demo3b} και \texttt{demo3c} χωρίς ορίσματα. Τα scripts εκτελούν μία σειρά από πειράματα που επιδεικνύουν τη λειτουργία της \texttt{myNCuts} με δύο τρόπους, καλώντας την συνάρτηση μη-αναδρομικά και αναδρομικά.
\input{7.1.demo3a}
\input{7.2.demo3b}

124
Assignment_2/report/7.1.demo3a.tex

@ -0,0 +1,124 @@
\subsection{Μη αναδρομικός normalized cuts}
Η εκδοχή της μη αναδρομικής εκτέλεσης παρουσιάζεται στο script \texttt{demo3a}. Το script εκτελεί μία σειρά από έξι πειράματα κατά τα οποία γίνεται κατάτμηση δύο δοσμένων εικόνων (``\texttt{d2a}'' και ``\texttt{d2b}'') σε δύο, τρεις και τέσσερεις ομάδες (clusters) διαδοχικά. Τα αποτελέσματα φαίνονται και σχολιάζονται στη συνέχεια.
Στο πρώτο μέρος του script εκτελούνται τα πειράματα για την πρώτη εικόνα που δίνεται (``\texttt{d2a}''). Τα αποτελέσματα της κατάτμησης φαίνονται παρακάτω.
\begin{multicols}{2}
\begin{figure}[H]
\centering
\resizebox{.4\textwidth}{!}{
\colorbox{shadecolor}{\input{res/demo3a_e1_f1.pdf_tex}}
}
\caption{Αρχική εικόνα (``\texttt{d2a}'')}
\end{figure}
\begin{figure}[H]
\centering
\resizebox{.4\textwidth}{!}{
\colorbox{shadecolor}{\input{res/demo3a_e1_f2.pdf_tex}}
}
\caption{Κατάτμηση πρώτης εικόνας (``\texttt{d2a}'') σε 2 ομάδες}
\end{figure}
\end{multicols}
\begin{multicols}{2}
\begin{figure}[H]
\centering
\resizebox{.4\textwidth}{!}{
\colorbox{shadecolor}{\input{res/demo3a_e1_f3.pdf_tex}}
}
\caption{Κατάτμηση πρώτης εικόνας (``\texttt{d2a}'') σε 3 ομάδες}
\end{figure}
\begin{figure}[H]
\centering
\resizebox{.4\textwidth}{!}{
\colorbox{shadecolor}{\input{res/demo3a_e1_f4.pdf_tex}}
}
\caption{Κατάτμηση πρώτης εικόνας (``\texttt{d2a}'') σε 4 ομάδες}
\end{figure}
\end{multicols}
Από τις εικόνες φαίνεται και πάλι ότι ο αλγόριθμος κάνει τέλεια κατάτμηση για τη περίπτωση των τριών ομάδων, όπως συνέβη και στη δεύτερη σειρά πειραμάτων για το spectral clustering. Στη περίπτωση των δύο ομάδων η πράσινη και κόκκινη περιοχή κατατάσσονται στην ίδια ομάδα, ενώ στη περίπτωση των τεσσάρων ομάδων παρουσιάζεται ``θόρυβος'' στην ομαδοποίηση.
Τα αποτελέσματα του αλγόριθμου normalized cuts είναι συγκρίσιμα με αυτά του spectral clustering για αυτή τη μη αναδρομική εκδοχή. Δε παρατηρείται κάποια εμφανής βελτίωση στη κατάτμηση.
Στο δεύτερο μέρος του script εκτελούνται τα πειράματα για την δεύτερη εικόνα που δίνεται (``\texttt{d2b}''). Τα αποτελέσματα της κατάτμησης φαίνονται παρακάτω.
\begin{multicols}{2}
\begin{figure}[H]
\centering
\resizebox{.4\textwidth}{!}{
\colorbox{shadecolor}{\input{res/demo3a_e2_f1.pdf_tex}}
}
\caption{Αρχική εικόνα (``\texttt{d2b}'')}
\end{figure}
\begin{figure}[H]
\centering
\resizebox{.4\textwidth}{!}{
\colorbox{shadecolor}{\input{res/demo3a_e2_f3.pdf_tex}}
}
\caption{Κατάτμηση πρώτης εικόνας (``\texttt{d2b}'') σε 2 ομάδες, grayscale χρώματα}
\end{figure}
\end{multicols}
\begin{multicols}{2}
\begin{figure}[H]
\centering
\resizebox{.4\textwidth}{!}{
\colorbox{shadecolor}{\input{res/demo3a_e2_f5.pdf_tex}}
}
\caption{Κατάτμηση πρώτης εικόνας (``\texttt{d2b}'') σε 3 ομάδες, grayscale χρώματα}
\end{figure}
\begin{figure}[H]
\centering
\resizebox{.4\textwidth}{!}{
\colorbox{shadecolor}{\input{res/demo3a_e2_f7.pdf_tex}}
}
\caption{Κατάτμηση πρώτης εικόνας (``\texttt{d2b}'') σε 4 ομάδες, grayscale χρώματα}
\end{figure}
\end{multicols}
\begin{multicols}{2}
\begin{figure}[H]
\centering
\resizebox{.4\textwidth}{!}{
\colorbox{shadecolor}{\input{res/demo3a_e2_f1.pdf_tex}}
}
\caption{Αρχική εικόνα (``\texttt{d2b}'')}
\end{figure}
\begin{figure}[H]
\centering
\resizebox{.4\textwidth}{!}{
\colorbox{shadecolor}{\input{res/demo3a_e2_f2.pdf_tex}}
}
\caption{Κατάτμηση πρώτης εικόνας (``\texttt{d2b}'') σε 2 ομάδες, χρωματικός διάμεσος}
\end{figure}
\end{multicols}
\begin{multicols}{2}
\begin{figure}[H]
\centering
\resizebox{.4\textwidth}{!}{
\colorbox{shadecolor}{\input{res/demo3a_e2_f4.pdf_tex}}
}
\caption{Κατάτμηση πρώτης εικόνας (``\texttt{d2b}'') σε 3 ομάδες, χρωματικός διάμεσος}
\end{figure}
\begin{figure}[H]
\centering
\resizebox{.4\textwidth}{!}{
\colorbox{shadecolor}{\input{res/demo3a_e2_f6.pdf_tex}}
}
\caption{Κατάτμηση πρώτης εικόνας (``\texttt{d2b}'') σε 4 ομάδες, χρωματικός διάμεσος}
\end{figure}
\end{multicols}
Όπως και στη περίπτωση του spectral clustering που πραγματοποιήθηκε στη δεύτερη σειρά πειραμάτων, έτσι και εδώ ο αλγόριθμος normalized cuts δίνει αξιόλογα αποτελέσματα κατάτμησης, εξακολουθεί ωστόσο να επιδέχεται βελτιώσεων.
Όπως και για τη προηγούμενη εικόνα, τα αποτελέσματα του αλγόριθμου normalized cuts είναι συγκρίσιμα με αυτά του spectral clustering για αυτή τη μη αναδρομική εκδοχή. Αυτή τη φορά παρατηρείται μικρή βελτίωση στη κατάτμηση με χρήση normalized cuts, όχι όμως σημαντική.

53
Assignment_2/report/7.2.demo3b.tex

@ -0,0 +1,53 @@
\subsection{Μονή αναδρομή normalized cuts}
Η εκδοχή της αναδρομικής εκτέλεσης παρουσιάζεται για μία αναδρομή στο script \texttt{demo3b}. Το script εκτελεί μία σειρά από δύο πειράματα κατά τα οποία γίνεται κατάτμηση δύο δοσμένων εικόνων (``\texttt{d2a}'' και ``\texttt{d2b}'') σε δύο ομάδες (clusters) διαδοχικά. Τα αποτελέσματα φαίνονται και σχολιάζονται στη συνέχεια.
Στο πρώτο μέρος του script εκτελείται το πείραμα για την πρώτη εικόνα που δίνεται (``\texttt{d2a}''). Το αποτέλεσμα της κατάτμησης φαίνεται παρακάτω.
\begin{multicols}{2}
\begin{figure}[H]
\centering
\resizebox{.4\textwidth}{!}{
\colorbox{shadecolor}{\input{res/demo3b_e1_f1.pdf_tex}}
}
\caption{Αρχική εικόνα (``\texttt{d2a}'')}
\end{figure}
\begin{figure}[H]
\centering
\resizebox{.4\textwidth}{!}{
\colorbox{shadecolor}{\input{res/demo3b_e1_f2.pdf_tex}}
}
\caption{Κατάτμηση πρώτης εικόνας (``\texttt{d2a}'') σε 2 ομάδες}
\end{figure}
\end{multicols}
Στο δεύτερο μέρος του script εκτελείται το πείραμα για την δεύτερη εικόνα που δίνεται (``\texttt{d2b}''). Το αποτέλεσμα της κατάτμησης φαίνεται παρακάτω.
\begin{multicols}{2}
\begin{figure}[H]
\centering
\resizebox{.4\textwidth}{!}{
\colorbox{shadecolor}{\input{res/demo3b_e2_f1.pdf_tex}}
}
\caption{Αρχική εικόνα (``\texttt{d2b}'')}
\end{figure}
\begin{figure}[H]
\centering
\resizebox{.4\textwidth}{!}{
\colorbox{shadecolor}{\input{res/demo3b_e2_f3.pdf_tex}}
}
\caption{Κατάτμηση πρώτης εικόνας (``\texttt{d2b}'') σε 2 ομάδες, grayscale χρώματα}
\end{figure}
\end{multicols}
\begin{figure}[H]
\centering
\resizebox{.4\textwidth}{!}{
\colorbox{shadecolor}{\input{res/demo3b_e2_f2.pdf_tex}}
}
\caption{Κατάτμηση πρώτης εικόνας (``\texttt{d2b}'') σε 3 ομάδες, χρωματικός διάμεσος}
\end{figure}
Όπως ήταν αναμενόμενο τα αποτελέσματα των κατατμήσεων είναι ίδια με αυτά της μη αναδρομικής εκδοχής για δύο ομάδες. Τα ίδια συμπεράσματα ισχύουν και εδώ.

0
Assignment_2/report/7.3.demo3c.tex

19
Assignment_2/report/report.tex

@ -17,7 +17,8 @@
\usepackage{multicol}
\setlength{\columnsep}{1cm}
\definecolor{shadecolor}{RGB}{180,180,180}
%\definecolor{shadecolor}{RGB}{237, 243, 182}
\definecolor{shadecolor}{RGB}{0, 0, 0}
\graphicspath{{res/}}
%\usepackage{multirow}
%\usepackage[all]{hypcap}
@ -74,14 +75,14 @@
\begin{document}
\input{front_page.tex}
\input{1.0.introduction.tex}
\input{2.0.affinity_matrix.tex}
\input{3.0.spectral_clustering.tex}
\input{4.0.normalized_cuts.tex}
\input{5.0.demo1.tex}
\input{6.0.demo2.tex}
\input{7.0.demo3.tex}
\input{front_page}
\input{1.0.introduction}
\input{2.0.affinity_matrix}
\input{3.0.spectral_clustering}
\input{4.0.normalized_cuts}
\input{5.0.demo1}
\input{6.0.demo2}
\input{7.0.demo3}
\input{8.0.results}
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4
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