masterarbeit/arbeit/ma.tex

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% bibtotoc[numbered] : Literaturv. wird in Inhaltsv. aufgenommen
% abstracton : Abstract mit Ueberschrift
\documentclass[
a4paper, % default
11pt, % default = 11pt
BCOR6mm, % Bindungskorrektur bei Klebebindung 6mm, bei Lochen BCOR8.25mm
twoside, % default, 2seitig
titlepage,
% pagesize=auto
% openany, % Kapitel koennen auch auf geraden Seiten starten
% draft % schneller compillieren, Bild-dummy
% appendixprefix % Anhang mit Bezeichner
]{scrbook}
%%%%%%%%%%%%%%% Literaturverzeichnisstil %%%%%%%%%%%%%%%
% achtung, auch \bibstyle, unten, anpassen!
% \usepackage[square]{natbib} % fuer bibstyle natdin/ see ../natbib.pdf
%%%%%%%%%%%%%%% Packages %%%%%%%%%%%%%%%
\input{settings/packages}
\makeindex
%%%%%%%%%%%%%%% Graphics %%%%%%%%%%%%%%%
\graphicspath{{pics/}}
%%%%%%%%%%%%%%% Globale Einstellungen %%%%%%%%%%%%%%%
\input{settings/commands}
\input{settings/environments}
%\setlength{\parindent}{0pt} % kein einzug bei absaetzen
%\setlength{\lineskip}{1ex plus0.5ex minus0.5ex} % dafr abstand zwischen abs<62>zen (funktioniert noch nicht)
% \renewcommand{\familydefault}{\sfdefault}
%%%%%%%%%%%%%%% Header - Footer %%%%%%%%%%%%%%%
% ### Fr 2 Seitig (option twopage):
\usepackage{fancyhdr}%http://www.tug.org/tex-archive/info/german/fancyhdr
\pagestyle{fancy} % must be called before the following renewcommands !!!
\fancyhead{} % Alte Definition loeschen
\fancyfoot{} % dito
\renewcommand{\chaptermark}[1]{\markboth{\chaptername\ \thechapter{}: #1}{}}
\renewcommand{\sectionmark}[1]{\markright{\thesection{}~~#1}}
% % um das hard codierte makeuppercase zu verhindern
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\fancyhead[OR]{\textrm{\nouppercase\rightmark}}% Odd=rechte Seiten und dort rechts, also aussen das \rightmark
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% ### fr 1 seitig
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%\setcounter{secnumdepth}{3}
% \input{settings/hyphenation} %% Manchmal bricht latex nicht richtig um. hier trennregeln rein.
% \includeonly{%
% % files/0_titlepage.tex
% % files/1_0_introduction,%
% % files/2_0_knownDCJ,%
% % files/3_0_DCJIndels,%
% % files/4_0_DCJIndels_1comps,%
% files/5_0_DCJIndels_2comps,%
% % files/6_0_implementation,%
% % files/7_0_evaluation%
% % ,files/8_0_conclusion%
% }
%%%%%%%%%%%%%%% PANDOC-nedded defs %%%%%%%%%%
\providecommand{\tightlist}{%
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%disable "Redefining ngerman shorthand"-Message
% \makeatletter
% \patchcmd{\pdfstringdef}
% {\csname HyPsd@babel@}
% {\let\bbl@info\@gobble\csname HyPsd@babel@}
% {}{}
% \makeatother
%%%%%%%%%%%%%%% Hauptdokument %%%%%%%%%%%%%%%
\begin{document}
% ###### Autoref definitions (hyperref package)#####
\def\subtableautorefname{Table}
\def\algorithmautorefname{Algorithm}
\def\chapterautorefname{Chapter}
\def\sectionautorefname{Section}
\def\definitionautorefname{Definition}
\def\exampleautorefname{Example}
\def\observationautorefname{Observation}
\def\propositionautorefname{Proposition}
\def\lemmaautorefname{Lemma}
% in diesem Dokument nicht verwendet:
% \def\subsectionautorefname{Subsection}
% \def\Subsubsectionautorefname{Subsubsection}
% \def\subfigureautorefname{Figure}
% \def\claimautorefname{Claim}
%%%%%%%%%%%%%%% Deckblatt %%%%%%%%%%%%%%%
\extratitle{}
\input{files/titlepage}
%\input{files/titlepage.pdf} % Rueckseite leer
% \input{files/0_deckblatt/title}
\pagestyle{empty} % Rueckseite leer
%
%%%%%%%%%%%%%%% Verzeichnisse %%%%%%%%%%%%%%%
\frontmatter % Abstrakte Gliederungsebene: Anfang des Buches
\tableofcontents % Rueckseite leer
%\lstlistoflistings % fuer listingsverzeichnis mit package listings
%%%%%%%%%%%%%%% Hauptteil %%%%%%%%%%%%%%%
% Insgesamt ca. 60-100 Seiten Davon mindesten 50% Eigene Arbeit
\mainmatter %Abstrakte Gliederungsebene: Hauptteil des Buches
\pagestyle{fancy}
\pagenumbering{arabic}
\chapter{How to read this Thesis}\label{how-to-read-this-thesis}
As a guide through the nomenclature used in the formulas we prepend this
chapter.
Unless otherwise noted the following holds:
\begin{itemize}
\tightlist
\item
lowercase letters \(x,y,z\)\\
refer to real variables and represent a point in 3D-Space.
\item
lowercase letters \(u,v,w\)\\
refer to real variables between \(0\) and \(1\) used as coefficients
in a 3D B-Spline grid.
\item
other lowercase letters\\
refer to other scalar (real) variables.
\item
lowercase \textbf{bold} letters (e.g. \(\vec{x},\vec{y}\))\\
refer to 3D coordinates
\item
uppercase \textbf{BOLD} letters (e.g. \(D, M\))\\
refer to Matrices
\end{itemize}
\chapter{Introduction}\label{introduction}
In this Master Thesis we try to extend a previously proposed concept of
predicting the evolvability of \acf{FFD} given a
Deformation-Matrix\cite{anrichterEvol}. In the original publication the
author used random sampled points weighted with \acf{RBF} to deform the
mesh and defined three different criteria that can be calculated prior
to using an evolutional optimisation algorithm to asses the quality and
potential of such optimisation.
We will replicate the same setup on the same meshes but use \acf{FFD}
instead of \acf{RBF} to create a deformation and evaluate if the
evolution-criteria still work as a predictor given the different
deformation.
\section{\texorpdfstring{What is \acf{FFD}?}{What is ?}}\label{what-is}
First of all we have to establish how a \ac{FFD} works and why this is a
good tool for deforming meshes in the first place.
\section{Was ist evolutionäre
Optimierung?}\label{was-ist-evolutionuxe4re-optimierung}
\section{Wieso ist evo-Opt so cool?}\label{wieso-ist-evo-opt-so-cool}
\section{Evolvierbarkeitskriterien}\label{evolvierbarkeitskriterien}
\begin{itemize}
\tightlist
\item
Konditionszahl etc.
\end{itemize}
\chapter{Hauptteil}\label{hauptteil}
\section{Was ist FFD?}\label{was-ist-ffd}
\begin{itemize}
\tightlist
\item
Definition
\item
Wieso Newton-Optimierung?
\item
Was folgt daraus?
\end{itemize}
\section{Szenarien vorstellen}\label{szenarien-vorstellen}
\subsection{1D}\label{d}
\subsubsection{Optimierungszenario}\label{optimierungszenario}
\begin{itemize}
\tightlist
\item
Ebene -\textgreater{} Template-Fit
\end{itemize}
\subsubsection{Matching in 1D}\label{matching-in-1d}
\begin{itemize}
\tightlist
\item
Trivial
\end{itemize}
\subsubsection{Besonderheiten der
Auswertung}\label{besonderheiten-der-auswertung}
\begin{itemize}
\tightlist
\item
Analytische Lösung einzig beste
\item
Ergebnis auch bei Rauschen konstant?
\item
normierter 1-Vektor auf den Gradienten addieren
\begin{itemize}
\tightlist
\item
Kegel entsteht
\end{itemize}
\end{itemize}
\subsection{3D}\label{d-1}
\subsubsection{Optimierungsszenario}\label{optimierungsszenario}
\begin{itemize}
\tightlist
\item
Ball zu Mario
\end{itemize}
\subsubsection{Matching in 3D}\label{matching-in-3d}
\begin{itemize}
\tightlist
\item
alternierende Optimierung
\end{itemize}
\subsubsection{Besonderheiten der
Optimierung}\label{besonderheiten-der-optimierung}
\begin{itemize}
\tightlist
\item
Analytische Lösung nur bis zur Optimierung der ersten Punkte gültig
\item
Kriterien trotzdem gut
\end{itemize}
\chapter{Evaluation}\label{evaluation}
\section{Spearman/Pearson-Metriken}\label{spearmanpearson-metriken}
\begin{itemize}
\tightlist
\item
Was ist das?
\item
Wieso sollte uns das interessieren?
\item
Wieso reicht Monotonie?
\item
Haben wir das gezeigt?
\item
Stastik, Bilder, blah!
\end{itemize}
\chapter{Schluss}\label{schluss}
HAHA .. als ob -.-
\backmatter
\cleardoublepage
\renewcommand\thesection{\Roman{section}}
\addtocontents{toc}{\protect\setcounter{tocdepth}{1}}
\setcounter{section}{1} % reset section to 1 so its stars I, II, III,...
\chapter*{Appendix}
\addcontentsline{toc}{chapter}{\protect\numberline{}Appendix}
\pagenumbering{roman}
%%%%%%%%%%%%%%% Literaturverzeichnis %%%%%%%%%%%%%%%
\bibliographystyle{natdin} % \bibliographystyle{natdin}
\bibliography{bibma}
\addcontentsline{toc}{section}{\protect\numberline{\thesection}Bibliography} % Literaturverzeichnis in das Inhaltsverzeichnis aufnehmen
\addtocounter{section}{1}
\newpage
%%%%%%%%%%%%%%% Anhang %%%%%%%%%%%%%%%
% \clearpage %spaeter alles wieder rein
% % \input{files/appendix}
\input{settings/abkuerzungen}
\addcontentsline{toc}{section}{\protect\numberline{\thesection}Abbreviations}
\addtocounter{section}{1}
\newpage
\listofalgorithms
\addcontentsline{toc}{section}{\protect\numberline{\thesection}List of Algorithms}
\addtocounter{section}{1}
\newpage
\listoffigures
\listoftables
\listoftodos
\addcontentsline{toc}{section}{\protect\numberline{\thesection}TODOs}
\addtocounter{section}{1}
\newpage
% \printindex
%%%%%%%%%%%%%%% Erklaerung %%%%%%%%%%%%%%%
% *\input{settings/declaration}
\include{files/erklaerung}
\end{document}