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improving document -> figures
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@ -34,14 +34,14 @@
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Polyhedron}}\\ the example of subdivision surfaces}
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\author{\small
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\sffamily Pierre Alliez\footnote{GEOMETRICA, INRIA Sophia-Antipolis}
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\and
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\and \small
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\sffamily Andreas Fabri\footnote{GeometryFactory, Sophia-Antipolis}
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\and
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\and \small
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\sffamily Lutz Kettner\footnote{Max-Planck Institut für Informatik,
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Saarbrücken}
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\and
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\and \small
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\sffamily Le-Jeng Shiue\footnote{SurfLab, University of Florida}
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\and
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\and \small
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\sffamily Radu Ursu\footnote{GEOMETRICA, INRIA Sophia-Antipolis}}
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\maketitle
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@ -49,18 +49,18 @@ Polyhedron}}\\ the example of subdivision surfaces}
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% ABSTRACT
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\abstract{This document gives a description for a user to get
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started with the halfedge data structure provided by the Computational
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Geometry Algorithm Library (CGAL). Assuming the reader to be familiar
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with the C++ template mechanisms and the key concepts of the Standard
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Template Library (STL), we describe three different approaches with
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increasing level of sophistication for implementing mesh subdivision
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schemes. The simplest approach uses simple Euler operators to
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implement the $\sqrt{3}$ subdivision scheme applicable to triangle
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meshes. A second approach overloads the incremental builder already
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provided by CGAL to implement the quad-triangle subdivision scheme
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applicable to polygon meshes. The third approach is more generic and
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offers an efficient way to design its own subdivision scheme through
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\abstract{This document is a tutorial on how to get
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started with the halfedge data structure provided by CGAL, the
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Computational Geometry Algorithm Library. Assuming the reader to be
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familiar with the C++ template mechanisms and the key concepts of the
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STL (Standard Template Library), we describe three different
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approaches with increasing level of sophistication for implementing
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mesh subdivision schemes. The simplest approach uses simple Euler
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operators to implement the $\sqrt{3}$ subdivision scheme applicable to
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triangle meshes. A second approach overloads the incremental builder
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already provided by CGAL to implement the quad-triangle subdivision
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scheme applicable to polygon meshes. The third approach is generic and
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offers a convenient way to design its own subdivision scheme through
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the definition of rule templates. Catmull-Clark, Loop and Doo-Sabin
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schemes are illustrated using the latter approach. Two companion
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applications, one developed on Windows with MS .NET, MFC and OpenGL,
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