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[BV] Uebung2 hinzugefügt 

Signed-off-by: Jim Martens <github@2martens.de>
This commit is contained in:
Jim Martens 2016-11-03 08:28:25 +01:00
parent 832e94c5e7
commit e2912f00b4
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\documentclass[10pt,a4paper,oneside,ngerman,numbers=noenddot]{scrartcl}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage[ngerman]{babel}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{bytefield}
\usepackage{paralist}
\usepackage{gauss}
\usepackage{pgfplots}
\usepackage{textcomp}
\usepackage[locale=DE,exponent-product=\cdot,detect-all]{siunitx}
\usepackage{tikz}
\usepackage{algpseudocode}
\usepackage{algorithm}
\usepackage{mathtools}
\usepackage{hyperref}
\usepackage[german=quotes]{csquotes}
%\usepackage{algorithmic}
%\usepackage{minted}
\usetikzlibrary{automata,matrix,fadings,calc,positioning,decorations.pathreplacing,arrows,decorations.markings}
\usepackage{polynom}
\polyset{style=C, div=:,vars=x}
\pgfplotsset{compat=1.8}
\pagenumbering{arabic}
%\def\thesection{\arabic{section})}
%\def\thesubsection{(\alph{subsection})}
%\def\thesubsubsection{(\roman{subsubsection})}
\makeatletter
\renewcommand*\env@matrix[1][*\c@MaxMatrixCols c]{%
\hskip -\arraycolsep
\let\@ifnextchar\new@ifnextchar
\array{#1}}
\makeatother
\parskip 12pt plus 1pt minus 1pt
\parindent 0pt
\MakeOuterQuote{"}
\DeclarePairedDelimiter\abs{\lvert}{\rvert}%
\DeclarePairedDelimiter{\ceil}{\lceil}{\rceil}
\newenvironment{myitemize}{\begin{itemize}\itemsep -9pt}{\end{itemize}} % Zeilenabstand in Aufzählungen geringer
\def\thesection{\arabic{section}.}
%switch starred and non-starred (auto-size)
\makeatletter
\let\oldabs\abs
\def\abs{\@ifstar{\oldabs}{\oldabs*}}
\makeatother
\hypersetup{
colorlinks,
citecolor=black,
filecolor=black,
linkcolor=black,
urlcolor=black
}
\begin{document}
\author{Jim Martens (6420323)}
\title{Computer Vision/Image Processing}
\subtitle{Assignment 2}
\date{2nd Novembre 2016}
\maketitle
\section{}
\begin{alignat*}{1}
\sigma^2 &= \frac{1}{N_{cols}N_{rows}-1} \sum\limits_{x=1}^{N_{cols}} \sum\limits_{y=1}^{N_{rows}} \left( I(y,x) - \mu_{n-1}\right) \cdot \left(I(y,x) - \mu_{n}\right) \\
\intertext{Constraints}
n_0 &= 0 \\
n_n &= n_{n-1} + 1 \\
n_i & \{i \in [0, N_{cols}N_{rows}]\} \\
\mu_0 &= 0 \\
\mu_n &= \mu_{n-1} + \frac{I(y,x) - \mu_{n-1}}{n_n}
\end{alignat*}
\end{document}