~gerald-mwangi/+junk/Thesis

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Masters/Doctoral Thesis 
% LaTeX Template
% Version 2.1 (2/9/15)
%
% This template has been downloaded from:
% http://www.LaTeXTemplates.com
%
% Version 2.0 major modifications by:
% Vel (vel@latextemplates.com)
%
% Original authors:
% Steven Gunn  (http://users.ecs.soton.ac.uk/srg/softwaretools/document/templates/)
% Sunil Patel (http://www.sunilpatel.co.uk/thesis-template/)
%
% License:
% CC BY-NC-SA 3.0 (http://creativecommons.org/licenses/by-nc-sa/3.0/)
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Meta data
\def\Title{An Extension To The Principle Of Least Action For Gibbs Random Fields}
\def\Author{Gerald Mwangi}
\def\Subject{Dissertation}
\def\Keywords{Gibbs Random Fields, Optimization, Lie Groups, Noethers Theorem, Total Variation, Optical Flow}
%----------------------------------------------------------------------------------------
%	PACKAGES AND OTHER DOCUMENT CONFIGURATIONS
%----------------------------------------------------------------------------------------
\input{headerThesis}
\begin{document}

% \frontmatter % Use roman page numbering style (i, ii, iii, iv...) for the pre-content pages

\pagestyle{plain} % Default to the plain heading style until the thesis style is called for the body content

%----------------------------------------------------------------------------------------
%	TITLE PAGE
%----------------------------------------------------------------------------------------
\title{\Title}
\author{\Author}
\includepdf[pages=1,noautoscale,scale=1.1]{Titlepage/titledoc.pdf}
\cleardoublepage
\includepdf[pages=2,noautoscale,scale=1.1]{Titlepage/titledoc.pdf}
%\cleardoublepage
% \begin{titlepage}
% \begin{center}
% 
% \textsc{\LARGE \univname}\\[1.5cm] % University name
% \textsc{\Large Doctoral Thesis}\\[0.5cm] % Thesis type
% 
% \HRule \\[0.4cm] % Horizontal line
% {\huge \bfseries \ttitle}\\[0.4cm] % Thesis title
% \HRule \\[1.5cm] % Horizontal line
%  
% \begin{minipage}{0.4\textwidth}
% \begin{flushleft} \large
% \emph{Author:}\\
% \href{http://www.johnsmith.com}{\authorname} % Author name - remove the \href bracket to remove the link
% \end{flushleft}
% \end{minipage}
% \begin{minipage}{0.4\textwidth}
% \begin{flushright} \large
% \emph{Supervisor:} \\
% \href{http://www.jamessmith.com}{\supname} % Supervisor name - remove the \href bracket to remove the link  
% \end{flushright}
% \end{minipage}\\[3cm]
%  
% \large \textit{A thesis submitted in fulfilment of the requirements\\ for the degree of \degreename}\\[0.3cm] % University requirement text
% \textit{in the}\\[0.4cm]
% \groupname\\\deptname\\[2cm] % Research group name and department name
%  
% {\large \today}\\[4cm] % Date
% %\includegraphics{Logo} % University/department logo - uncomment to place it
%  
% \vfill
% \end{center}
% \end{titlepage}

%----------------------------------------------------------------------------------------
%	DECLARATION PAGE
%----------------------------------------------------------------------------------------

% \begin{declaration}
% \addchaptertocentry{\authorshipname}
% 
% \noindent I, \authorname, declare that this thesis titled, \enquote{\ttitle} and the work presented in it are my own. I confirm that:
% 
% \begin{itemize} 
% \item This work was done wholly or mainly while in candidature for a research degree at this University.
% \item Where any part of this thesis has previously been submitted for a degree or any other qualification at this University or any other institution, this has been clearly stated.
% \item Where I have consulted the published work of others, this is always clearly attributed.
% \item Where I have quoted from the work of others, the source is always given. With the exception of such quotations, this thesis is entirely my own work.
% \item I have acknowledged all main sources of help.
% \item Where the thesis is based on work done by myself jointly with others, I have made clear exactly what was done by others and what I have contributed myself.\\
% \end{itemize}
%  
% \noindent Signed:\\
% \rule[0.5em]{25em}{0.5pt} % This prints a line for the signature
%  
% \noindent Date:\\
% \rule[0.5em]{25em}{0.5pt} % This prints a line to write the date
% \end{declaration}

\cleardoublepage

%----------------------------------------------------------------------------------------
%	QUOTATION PAGE
%----------------------------------------------------------------------------------------

 \vspace*{0.2\textheight}
 \thispagestyle{empty}
\begin{center}
	\textsl{for Helen ...}
\end{center}
% 
% \hfill Dave Barry

%----------------------------------------------------------------------------------------
%	ABSTRACT PAGE
%----------------------------------------------------------------------------------------

% \begin{abstract}
% \addchaptertocentry{\abstractname} % Add the abstract to the table of contents
% 
% The Thesis Abstract is written here (and usually kept to just this page). The page is kept centered vertically so can expand into the blank space above the title too\ldots
% 
% \end{abstract}
\KOMAoption{footsepline}{false}
\include{AbstractAcknowledgements/abstract}
\cleardoublepage
\KOMAoption{footsepline}{true}



%----------------------------------------------------------------------------------------
%	ACKNOWLEDGEMENTS
%----------------------------------------------------------------------------------------

% \begin{acknowledgements}
% \addchaptertocentry{\acknowledgementname} % Add the acknowledgements to the table of contents
% 
% The acknowledgements and the people to thank go here, don't forget to include your project advisor\ldots
% 
% \end{acknowledgements}

\include{AbstractAcknowledgements/acknowledgements}
%Nix Text.
%----------------------------------------------------------------------------------------
%	LIST OF CONTENTS/FIGURES/TABLES PAGES
%----------------------------------------------------------------------------------------

\cleardoublepage
\tableofcontents
\cleardoublepage % Prints the main table of contents

% \listoffigures % Prints the list of figures
% 
% \listoftables % Prints the list of tables

%----------------------------------------------------------------------------------------
%	ABBREVIATIONS
%----------------------------------------------------------------------------------------

% \begin{abbreviations}{ll} % Include a list of abbreviations (a table of two columns)
% 
% \textbf{LAH} & \textbf{L}ist \textbf{A}bbreviations \textbf{H}ere\\
% \textbf{WSF} & \textbf{W}hat (it) \textbf{S}tands \textbf{F}or\\
% 
% \end{abbreviations}

%----------------------------------------------------------------------------------------
%	PHYSICAL CONSTANTS/OTHER DEFINITIONS
%----------------------------------------------------------------------------------------

% \begin{constants}{lr@{${}={}$}l} % The list of physical constants is a three column table
% 
% % The \SI{}{} command is provided by the siunitx package, see its documentation for instructions on how to use it
% 
% Speed of Light & $c$ & \SI{2.99792458e8}{\meter\per\second} (exact)\\
% %Constant Name & $Symbol$ & $Constant Value$ with units\\
% 
% \end{constants}

%----------------------------------------------------------------------------------------
%	SYMBOLS
%----------------------------------------------------------------------------------------

% \begin{symbols}{lll} % Include a list of Symbols (a three column table)
% 
% $a$ & distance & \si{\meter} \\
% $P$ & power & \si{\watt} (\si{\joule\per\second}) \\
% %Symbol & Name & Unit \\
% 
% \addlinespace % Gap to separate the Roman symbols from the Greek
% 
% $\omega$ & angular frequency & \si{\radian} \\
% 
% \end{symbols}

%----------------------------------------------------------------------------------------
%	DEDICATION
%----------------------------------------------------------------------------------------

% \dedicatory{For/Dedicated to/To my\ldots} 

%----------------------------------------------------------------------------------------
%	THESIS CONTENT - CHAPTERS
%----------------------------------------------------------------------------------------

% \mainmatter % Begin numeric (1,2,3...) page numbering

% \pagestyle{thesis} % Return the page headers back to the "thesis" style

% Include the chapters of the thesis as separate files from the Chapters folder
% Uncomment the lines as you write the chapters
%\cite{BlackAnandanRobustOpticalFlow,SunRothOpticalFlowCVPR2010}
 %\input{Chapters/ChapterOutline}
 \pagenumbering{arabic}
 \input{Chapters/Background/ChapterIntroduction.tex}
 \input{Chapters/Background/ChapterGibbsLieNoether}
  \input{Chapters/Background/ChapterLieGroupNoether} 
 \input{Chapters/Background/ChapterTotalVariation}
\input{Chapters/Background/Chapter2} 

 \input{Chapters/Background/ChapterImageRegistration}
\input{Chapters/Maintext/ChapterModernNoether}
 \input{Chapters/Maintext/ChapterStructureTensorPrior}
 \input{Chapters/Maintext/ChapterOpticalFlow} 
 \input{Chapters/Maintext/ChapterMultiGridNewton}
\input{Chapters/Maintext/ChapterOpticalFlowResults} 
\input{Chapters/Maintext/ChapterGeneralizedNewton.tex}
%\input{Chapters/Maintext/ChapterGeneralizedStructureTensor}
%\input{Chapters/Maintext/ChapterImageDenoisingGST}
\input{Chapters/Maintext/ChapterConclusions}
%----------------------------------------------------------------------------------------
%	THESIS CONTENT - APPENDICES
%----------------------------------------------------------------------------------------
% 
 \appendix % Cue to tell LaTeX that the following "chapters" are Appendices
% 
% % Include the appendices of the thesis as separate files from the Appendices folder
% % Uncomment the lines as you write the Appendices
% 
\input{Appendices/AppendixSmoothManifold.tex}
 \input{Appendices/AppendixLieGroups.tex}
  \input{Appendices/AppendixBendingAlgebra.tex}
  \input{Appendices/AppendixOpticalFlow.tex}
% %\input{Appendices/AppendixB}
% %\input{Appendices/AppendixC}

%----------------------------------------------------------------------------------------
%	BIBLIOGRAPHY
%----------------------------------------------------------------------------------------

%\printbibliography
%\bibliographystyle{IEEEbib}

\bibliography{OpticalFlowPapers}
%----------------------------------------------------------------------------------------

\end{document}