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scientificComputing/projects/project_pca_natural_img/pca_natural_images.tex
2014-11-03 11:28:54 +01:00

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\documentclass[addpoints,11pt]{exam}
\usepackage{url}
\usepackage{color}
\usepackage{hyperref}
\pagestyle{headandfoot}
\runningheadrule
\firstpageheadrule
\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}
\runningfooter{}{}{}
\pointsinmargin
\bracketedpoints
%\printanswers
%\shadedsolutions
\begin{document}
%%%%%%%%%%%%%%%%%%%%% Submission instructions %%%%%%%%%%%%%%%%%%%%%%%%%
\sffamily
% \begin{flushright}
% \gradetable[h][questions]
% \end{flushright}
\begin{center}
\input{../disclaimer.tex}
\end{center}
%%%%%%%%%%%%%% Questions %%%%%%%%%%%%%%%%%%%%%%%%%
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), 89113.
\end{thebibliography}
\end{document}