cgal/Packages/Tutorial/tutorial/Polyhedron/doc/tutorial.tex

\documentclass[letter,twoside,10pt]{article}
\usepackage{tutorial}
\usepackage[OT1]{fontenc}

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\usepackage{graphicx}
\usepackage{subfigure}
\usepackage{epsfig}
\usepackage{psfrag}
\usepackage{}
% used to write c++ code/algorithms
\usepackage{listings}
\usepackage{fancyvrb}

%\psdraft

% hyperref stuff
\usepackage{hyperref}
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  pdftitle={Getting started with CGAL Polyhedron},
  pdfauthor={INRIA Geometrica},
  pdfsubject={A tutorial for CGAL},
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  pdfpagemode=UseThumbs,
  baseurl={http://www.cgal.org},
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% end hyperref stuff

\lstset{language=C++, basicstyle=\scriptsize}

\input{tutorial.def}

% =========================================================================
\begin{document}

% TITLE
% ------------------------------------------------------------------------
\date{}
\title{{\LARGE {\sffamily\bfseries Algorithms on Meshes with CGAL Polyhedron}}}

% pierre: other suggestions for the title?
%  Mesh Processing with CGAL Polyhedron
%  Algorithms on Meshes with CGAL Polyhedron
%  Getting started with CGAL Polyhedron
% ?

\author{\small
\sffamily Le-Jeng Shiue\footnote{SurfLab, University of Florida}
\and \small
\sffamily Pierre Alliez\footnote{GEOMETRICA, INRIA Sophia-Antipolis}
\and \small
\sffamily Radu Ursu\footnote{GEOMETRICA, INRIA Sophia-Antipolis}
\and \small
\sffamily Lutz Kettner\footnote{MPII, Saarbr\"ucken}}
\maketitle

\thispagestyle{empty}

% ABSTRACT
% ------------------------------------------------------------------------
\abstract{
%% This document is a tutorial on how to get
%% started with the halfedge data structure provided by CGAL, the
%% Computational Geometry Algorithm Library. Assuming the reader to be
%% familiar with the C++ template mechanisms and the key concepts of the
%% STL (Standard Template Library), we describe three different
%% approaches with increasing level of sophistication for implementing
%% mesh subdivision schemes. The simplest approach uses simple Euler
%% operators to implement the $\sqrt{3}$ subdivision scheme applicable to
%% triangle meshes. A second approach overloads the incremental builder
%% already provided by CGAL to implement the quad-triangle subdivision
%% scheme applicable to polygon meshes. The third approach is generic and
%% offers a convenient way to design its own subdivision scheme through
%% the definition of rule templates. Catmull-Clark, Loop and Doo-Sabin
%% schemes are illustrated using the latter approach. Two companion
%% applications, one developed on Windows with MS .NET, MFC and OpenGL,
%% and the other developed for both Linux and Windows with Qt and OpenGL,
%% implement the subdivision schemes listed above, as well as several
%% functionalities for interaction, visualization and raster/vectorial
%% output.
}

\vskip 3mm

\noindent {\bf Keywords:}
                 CGAL library,
                 tutorial,
                 halfedge data structure, 
                 polygon surface mesh,
                 subdivision surfaces,
                 quad-triangle,
                 $\sqrt{3}$,
                 Loop,
                 Doo-Sabin,
                 Catmull-Clark,
                 OpenGL.

% INTRODUCTION                 
% ------------------------------------------------------------------------
\section{Introduction}
\input intro

% PREREQUISITES
% ------------------------------------------------------------------------
\section{Prerequisites}
%\input prereq 

% ------------------------------------------------------------------------
\section{Polyhedron Data Structure: Fundamentals}
\input polyhedron 

% ------------------------------------------------------------------------
\section{Polyhedron Data Structure: Rendering and Manipulation}

% rendering controls of the polyhedron (wire-frame, surface, normals>generation)
\subsection{Rendering}
%\input ??

% user manipulations of the polyhedron (arc ball?) 
\subsection{Manipulation} 
%\input ??


% ------------------------------------------------------------------------
\section{Design and Implemenation of Subdivisions}

\subsection{Subdivision Surfaces}
\input subdivision

% connectivity ops: specific polyhedron algorithms (sqrt3 subdivisions) 
\subsection{$\sqrt{3}$-Subdivision using Euler Operators}
%\input sqrt3

% ------------------------------------------------------------------------
% inc builder: specific polyhedron algorithms (qt subdivisions) 
\subsection{Quad-triangle Subdivision using Incremental Builder}
\label{sec:subdivision_builder}
%\input qt

% ------------------------------------------------------------------------
% templated rules: a generic framework for subdivisions 
\subsection{Subdivision using a rule template}
\label{sec:subdivision_rule}
%\input subtempl

% APPLICATION DEMO
% ------------------------------------------------------------------------
\section{Application demo}
%\input demo


% ------------------------------------------------------------------------
% REFERENCES
\bibliographystyle{alpha}
\bibliography{tutorial}


\end{document}