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\title{\vglue-2.5truecm
\underline{\fftnrm ISTANBUL TECHNICAL UNIVERSITY%
$\,\star\,$INFORMATICS INSTITUTE}
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{\fftnbf ROBUST FACE RECOGNITION ON NONLINEAR MANIFOLDS}
\vskip8.5truecm
{\bf Birkan Tun\c c}
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{\twntbf PhD Thesis Proposal}
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\leftline{{\svtnbf Department: \svtnrm\ \ Computational Science and Engineering}}
\leftline{{\svtnbf Advisor: \svtnrm Prof. Dr. Muhittin G\" okmen}}
\author{}
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\date{\bf 15 JANUARY 2009}
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\section{Introduction}

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\section{Aim and Objectives} 

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\section{Literature Review}

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\section{Theoretical and Mathematical Background}

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\section{Methodology}

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\section{Preliminary Study}

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\section{Time Schedule of the Study}

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\subsection{$1^{st}$ Term}
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\subsection{$2^{nd}$ Term} 
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\subsection{$3^{rd}$ Term} 
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\subsection{$4^{th}$ Term}
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