mirror of https://github.com/CGAL/cgal
73 lines
2.9 KiB
TeX
73 lines
2.9 KiB
TeX
% +------------------------------------------------------------------------+
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% | Cbp Reference Manual: intro.tex
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% +------------------------------------------------------------------------+
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% | Polyhedron reference manual pages
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% |
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% | 14.05.1998 Lutz Kettner
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\RCSdef{\polyhedronRefRev}{$Id$}
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\RCSdefDate{\polyhedronRefDate}{$Date$}
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% +------------------------------------------------------------------------+
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\ccRefChapter{3D Polyhedral Surfaces\label{chapterPolyhedronRef}}
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\ccChapterRelease{\polyhedronRefRev. \ \polyhedronRefDate}
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\ccChapterAuthor{Lutz Kettner}
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% +------------------------------------------------------------------------+
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Polyhedral surfaces in three dimensions are composed of vertices,
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edges, facets and an incidence relationship on them. The organization
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beneath is a halfedge data structure, which restricts the class of
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representable surfaces to orientable 2-manifolds -- with and without
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boundary. If the surface is closed we call it a {\em polyhedron}.
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The polyhedral surface is realized as a container class managing
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vertices, halfedges, facets with their incidences, and maintaining the
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combinatorial integrity of them. Its local types for the vertices,
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halfedges and facets are documented separately. A default traits
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class, a default items class and an incremental builder conclude the
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references. The polyhedral surface is based on the highly flexible
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design of the halfedge data structure, see the reference for
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\ccc{HalfedgeDS} in Chapter~\ref{chapterHalfedgeDSRef}
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or~\cite{k-ugpdd-99}, but the default instantiation of the polyhedral
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surface can be used without knowing the halfedge data structure.
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\section{Classified Reference Pages}
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\subsection*{Concepts}
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\ccRefIdfierPage{PolyhedronTraits_3}\\
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\ccRefIdfierPage{PolyhedronItems_3}
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\subsection*{Classes}
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\ccRefIdfierPage{CGAL::Polyhedron_3<Traits>}\\
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\ccRefIdfierPage{CGAL::Polyhedron_3<Traits>::Vertex}\\
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\ccRefIdfierPage{CGAL::Polyhedron_3<Traits>::Halfedge}\\
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\ccRefIdfierPage{CGAL::Polyhedron_3<Traits>::Facet}\\
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\ccRefIdfierPage{CGAL::Polyhedron_traits_3<Kernel>}\\
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\ccRefIdfierPage{CGAL::Polyhedron_traits_with_normals_3<Kernel>}\\
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\ccRefIdfierPage{CGAL::Polyhedron_items_3}\\
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\ccRefIdfierPage{CGAL::Polyhedron_min_items_3}\\
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\ccRefIdfierPage{CGAL::Polyhedron_incremental_builder_3<HDS>}
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\subsection*{Functions}
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\ccThree{ostream&}{}{page 999.}
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\ccHtmlNoLinks\ccHtmlNoIndex
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\ccFunction{template <class Traits>
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ostream& operator<<( ostream& out,
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const CGAL::Polyhedron_3<Traits>& P);}
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{\lcRawHtml{<A HREF="Function_operator.html">(go there)</A>}
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\lcTex{\hfill page~\pageref{refPolyhedron_operator_leftshift}}}
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\ccHtmlNoLinks\ccHtmlNoIndex
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\ccFunction{template <class Traits>
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istream& operator>>( istream& in,
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CGAL::Polyhedron_3<Traits>& P);}
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{\lcRawHtml{<A HREF="Function_operator--.html">(go there)</A>}
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\lcTex{\hfill page~\pageref{refPolyhedron_operator_rightshift}}}
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%% EOF %%
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