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pointclouds.tex
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pointclouds.tex
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% Compile with XeLaTeX
\documentclass{amsart}
\usepackage{fontenc}
\usepackage{xunicode}
\usepackage{bbold}
\usepackage[usenames,dvipsnames]{color}
\usepackage{url}
\usepackage{tikz}
\newcommand\mvj[1]{\textcolor{CadetBlue}{\textbf{MVJ: }#1}}
\newcommand\jh[1]{\textcolor{ForestGreen}{\textbf{JH: }#1}}
\newcommand\ps[1]{\textcolor{Violet}{\textbf{PS: }#1}}
\newcommand\de[1]{\textcolor{RoyalPurple}{\textbf{DE: }#1}}
\begin{document}
\title{Point cloud topology on algebraic varieties}
\author{Mikael Vejdemo-Johansson \and %
Jon Hauenstein \and %
Primoz Skraba \and %
David Eklund}
\maketitle
\begin{abstract}
We propose a method to compute betti numbers from algebraic varieties by numerical sampling and subsequent homology estimation with persistent homology techniques.
\end{abstract}
\section{Introduction}
\label{sec:introduction}
Persistent homology is cool. \cite{elz2000,c09TandD}
\section{Constructing a point cloud}
\label{sec:constr-point-cloud}
\section{Analyzing the point cloud}
\label{sec:analyz-point-cloud}
\section{Experiments}
\label{sec:experiments}
We computed using \texttt{jPlex}. \cite{jplex08}
\section{Conclusions}
\label{sec:conclusions}
\bibliographystyle{apalike}
\bibliography{realpoints}
\end{document}
%%% Local Variables:
%%% mode: latex
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