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rapport.tex
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rapport.tex
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% !TEX TS-program = pdflatex
% !TEX encoding = UTF-8 Unicode
% This is a simple template for a LaTeX document using the "article" class.
% See "book", "report", "letter" for other types of document.
\documentclass[11pt]{article} % use larger type; default would be 10pt
\usepackage[utf8]{inputenc} % set input encoding (not needed with XeLaTeX)
\usepackage[T1]{fontenc} % set input encoding (not needed with XeLaTeX)
\usepackage[french]{babel}
%%% Examples of Article customizations
% These packages are optional, depending whether you want the features they provide.
% See the LaTeX Companion or other references for full information.
%%% PAGE DIMENSIONS
\usepackage{geometry} % to change the page dimensions
\geometry{a4paper} % or letterpaper (US) or a5paper or....
% \geometry{margin=2in} % for example, change the margins to 2 inches all round
% \geometry{landscape} % set up the page for landscape
% read geometry.pdf for detailed page layout information
\usepackage{graphicx} % support the \includegraphics command and options
% \usepackage[parfill]{parskip} % Activate to begin paragraphs with an empty line rather than an indent
%%% PACKAGES
\usepackage{booktabs} % for much better looking tables
\usepackage{array} % for better arrays (eg matrices) in maths
\usepackage{paralist} % very flexible & customisable lists (eg. enumerate/itemize, etc.)
\usepackage{verbatim} % adds environment for commenting out blocks of text & for better verbatim
\usepackage{subfig} % make it possible to include more than one captioned figure/table in a single float
% These packages are all incorporated in the memoir class to one degree or another...
%%% HEADERS & FOOTERS
\usepackage{fancyhdr} % This should be set AFTER setting up the page geometry
\pagestyle{fancy} % options: empty , plain , fancy
\renewcommand{\headrulewidth}{0pt} % customise the layout...
\lhead{}\chead{}\rhead{}
\lfoot{}\cfoot{\thepage}\rfoot{}
%%% SECTION TITLE APPEARANCE
\usepackage{sectsty}
\allsectionsfont{\sffamily\mdseries\upshape} % (See the fntguide.pdf for font help)
% (This matches ConTeXt defaults)
%%% ToC (table of contents) APPEARANCE
\usepackage[nottoc,notlof,notlot]{tocbibind} % Put the bibliography in the ToC
\usepackage[titles,subfigure]{tocloft} % Alter the style of the Table of Contents
\renewcommand{\cftsecfont}{\rmfamily\mdseries\upshape}
\renewcommand{\cftsecpagefont}{\rmfamily\mdseries\upshape} % No bold!
%%% END Article customizations
%%% The "real" document content comes below...
\title{Flot des surfaces par la courbure moyenne}
\author{Raphaël Gaudy \and Lorenzo Milesi}
%\date{} % Activate to display a given date or no date (if empty),
% otherwise the current date is printed
\begin{document}
\maketitle
\section{Structures de données et organisation}
Nous avons utilisé une structure de type "half-edges" pour le stockage (les formes que nous avons testé
étant plutôt creuses). Pour visualier l'effet du flot on peut modifier directement la variable
\texttt{S} à la ligne 13. Le manque de temps a fait que nous n'avons pas pu implémenter
les flots "parallèles". On pourra trouver dans le dossier \texttt{res} diverses formes sur lesquelles tester
le programme.
\section{Ce que fait le programme}
Nous avons choisi d'implémenter le flot de courbure par arêtes. Le centrage de l'image au fur et à mesure de la transformation
se fait par le calcul du centre de gravité (ligne 58 et 74--77). Nous avons aussi implémenté
la coloration des sommets selon la courbure (on dessine une boule de rayon constant plus ou moins colorée), voir les lignes 42--43.
\end{document}