99 lines
2.6 KiB
TeX
99 lines
2.6 KiB
TeX
\documentclass{usiinfbachelorproject}
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\usepackage[]{caption}
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\usepackage[]{url}
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\usepackage[]{subcaption}
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\usepackage[]{float}
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\usepackage[]{multicol}
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\usepackage{tikz}
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\usepackage{tkz-euclide}
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\usetikzlibrary{external,shapes,through}
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\tikzexternalize[prefix=figures/]
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\tikzstyle{none}=[]
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\input{./tikzs/styles.tikzstyles}
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\pgfdeclarelayer{nodelayer}
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\pgfdeclarelayer{edgelayer}
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\pgfsetlayers{edgelayer,nodelayer,main}
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\graphicspath{{../figures/}{./figures/}}
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\newcommand*{\vv}[1]{\overrightarrow{#1}}
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\newcommand*{\figref}[1]{\figurename~\ref{#1}}
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\captionsetup{labelfont={bf}}
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\newcommand{\diff}{\mathop{}\!\mathrm{d}}
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\author{Arnaud Fauconnet}
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\title{From Flying Balls to Colliding Polygons}
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\subtitle{2D Physics Engine: Rigid Body Simulation}
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\versiondate{\today}
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\begin{committee}
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\advisor[Universit\`a della Svizzera Italiana,
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Switzerland]{Prof.}{Antonio}{Carzaniga}
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\end{committee}
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\newcommand{\inputtikz}[2][1]{
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\resizebox{#1 \textwidth}{!}{
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\tikzsetnextfilename{#2}
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\input{../tikzs/#2.tikz}
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}
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}
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\abstract {
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Physics engines are a fun and interesting way to learn about a lot of
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different subjects. First the theoretical concepts, such as the equations
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that dictate the motion of the objects, together with their components, need
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to be thoroughly understood. Then there is the necessity of finding a way to
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represent all of those concepts in a given programming language and to
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make them as efficient as possible so that the simulation runs fluidly.
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The task to be completed here was to extend an already existing
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physics engine that only made circles bounce off each other. The extension
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was focused on having the ability to generate some arbitrary polygons and
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make them bounce off each other in a physically accurate way. The main
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issues that rose up during the development of the extension: determining the
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inertia of a arbitrary polygon, which is important for realistic
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impacts; having an accurate collision detection system, which allows the
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engine to know when to make two polygons bounce off each other. Once those
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aspects were worked on and polished, the rest of the implementation went
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smoothly.
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}
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\counterwithin{figure}{section}
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\counterwithin{equation}{section}
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\usepackage{subfiles} % Best loaded last in the preamble
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\begin{document}
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\maketitle
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\tableofcontents
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\newpage
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\subfile{./sections/intro.tex}
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\newpage
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\subfile{./sections/tech_background.tex}
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\newpage
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\subfile{./sections/theoretical_background.tex}
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\newpage
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\subfile{./sections/solution.tex}
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\newpage
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\subfile{./sections/conclusion.tex}
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\newpage
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%%%%%
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\bibliographystyle{unsrt}
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\bibliography{references}
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\newpage
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\subfile{./sections/appendix.tex}
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\end{document}
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