improving document -> figures

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Pierre Alliez 2003-10-17 07:30:17 +00:00
parent 122207e0fb
commit 67aa7e6740
2 changed files with 16 additions and 16 deletions

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@ -34,14 +34,14 @@
Polyhedron}}\\ the example of subdivision surfaces}
\author{\small
\sffamily Pierre Alliez\footnote{GEOMETRICA, INRIA Sophia-Antipolis}
\and
\and \small
\sffamily Andreas Fabri\footnote{GeometryFactory, Sophia-Antipolis}
\and
\and \small
\sffamily Lutz Kettner\footnote{Max-Planck Institut für Informatik,
Saarbrücken}
\and
\and \small
\sffamily Le-Jeng Shiue\footnote{SurfLab, University of Florida}
\and
\and \small
\sffamily Radu Ursu\footnote{GEOMETRICA, INRIA Sophia-Antipolis}}
\maketitle
@ -49,18 +49,18 @@ Polyhedron}}\\ the example of subdivision surfaces}
% ABSTRACT
\abstract{This document gives a description for a user to get
started with the halfedge data structure provided by the Computational
Geometry Algorithm Library (CGAL). Assuming the reader to be familiar
with the C++ template mechanisms and the key concepts of the Standard
Template Library (STL), 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 more generic and
offers an efficient way to design its own subdivision scheme through
\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,