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\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}