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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}
\firstpagefooter{}{}{{\bf  Supervisor:} Fabian Sinz}
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In you zip file you find a natural image called {\tt natimg.jpg}. 
\begin{questions}

  \question Load the image and extract all pixels as three dimensional
  vectors (red, green, and blue channel). 
  
  \question Perform a principal component analysis on these
  three-dimensional vectors.

  \question Try to find an interpretation of the principal components
  you find in terms of colors. Find a good way to visualize this. 

  \question What could be the biological significance of that (\cite{BG} can
  give you a clue)?

\end{questions}

\begin{thebibliography}{1}
\bibitem{BG} Buchsbaum, G., \& Gottschalk, A. (1983). Trichromacy,
  opponent colours coding and optimum colour information transmission
  in the retina. Proceedings of the Royal Society of London. Series B,
  Containing Papers of a Biological Character. Royal Society (Great
  Britain), 220(1218), 89–113.
\end{thebibliography}



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