This repository has been archived on 2021-05-17. You can view files and clone it, but cannot push or open issues or pull requests.
scientificComputing/projects/project_pca_natural_images/pca_natural_images.tex

45 lines
1.3 KiB
TeX
Raw Blame History

This file contains ambiguous Unicode characters

This file contains Unicode characters that might be confused with other characters. If you think that this is intentional, you can safely ignore this warning. Use the Escape button to reveal them.

\documentclass[a4paper,12pt,pdftex]{exam}
\newcommand{\ptitle}{Image statistics}
\input{../header.tex}
\firstpagefooter{Supervisor: Jan Benda}{phone: 29 74573}%
{email: jan.benda@uni-tuebingen.de}
\begin{document}
\input{../instructions.tex}
%%%%%%%%%%%%%% 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)?
\question How could you transform the picture to match the true
representation in the retina (S-, M-, L- cones)?
\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 B. Royal
Society (Great Britain), 220(1218), 89113.
\end{thebibliography}
\end{document}