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\firstpageheader{Scientific Computing}{Project Assignment}{11/05/2014
  -- 11/06/2014}
%\runningheader{Homework 01}{Page \thepage\ of \numpages}{23. October 2014}
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\section*{Analysis of eye trajectories.}
In this project you will analyse eye-tracking data provided by the
Mallot-Group. In this task the subject had to memorize the positions
of targets that can be only learned with active gaze shifts. The eye
movements during training and test are recorded.

\begin{questions}
  \question In the accompanying dataset you find six variables. (i)
  \textit{eye\_found} a logical array indicating whether the eye was
  found by the tracker. (ii, iii) \textit{gaze\_x} and
  \textit{gaze\_y} containing the x- and y-position of the gaze. They
  relate to a screen with 1280x1024 pixel resolution. (iv)
  \textit{frame\_time} containing time stamps for each frame. (v)
  \textit{marker\_time} containing the time of the last marker. (vi)
  \textit{marker\_count} the count of the markers. All entries with
  the same marker belong to the same trial.
  \begin{parts}
    \part Cut the data in chunks belonging to the same trial.
    \part Characterize the eye movements statistically; eye
    velocity, accelerations.
    \part Detect and correct the eye traces for instances in which the 
    eye was not correctly detected. Interpolate linearily in these sections. 
    \part Create a 'heatmap' plot that shows the eye trajectories 
    for one or two (nice) trials.
    \part Use the \verb+kmeans+ clustering function to 
    discriminate different types of eye-movements. Try clustering
    using eye velocitiy and acceleration.
  \end{parts}
\end{questions}

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