mirror of https://github.com/CGAL/cgal
113 lines
4.4 KiB
TeX
113 lines
4.4 KiB
TeX
% +------------------------------------------------------------------------+
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% | Reference manual page: VisibilityComplex.tex
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% +------------------------------------------------------------------------+
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% | Last revision: 09.07.2002
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% | Author : Pierre Angelier <Pierre.Angelier@ens.fr>
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% | Maintainer: Laurent Rineau <Laurent.Rineau@ens.fr>
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% | Package: Visibility_complex
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% +------------------------------------------------------------------------+
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\ccRefPageBegin
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%%RefPage: end of header, begin of main body
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% +----------------------------------------------------------------------------+
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\begin{ccRefConcept}{VisibilityComplex}
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\label{pageVisibilityComplexRef}
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% +----------------------------------------------------------------------------+
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\ccDefinition
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The class \ccRefName\ defines a vertex centered data structure capable of
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maintaining the incidence between vertices, edges and faces of the visibility
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complex of a collection of $n$ disks. In addition the \ccRefName\ maintains an
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\ccc{VisibilityComplexAntichain} used for sweeping the visibility complex. The
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\ccRefName\ offers iterators pairs for traversing the vertices,edges and faces
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of the visibilty complex.
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% +----------------------------------------------------------------------------+
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% +----------------------------------------------------------------------------+
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\ccTypes
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\ccTwo{VisibilityComplex:: Vertex_iterator }{}
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\ccNestedType{Gt} {the geometric traits class.}
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\ccGlue
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\ccNestedType{Items} {items class, model of the \ccc{VisibilityComplex_items}
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concept.}
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\ccGlue
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\ccNestedType{Antichain} {the antichain used for sweeping the visibility
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complex, model for the
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\ccc{VisibilityComplexAntichain} concept.}
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\ccGlue
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\ccNestedType{Vertex}{vertex type. Model of \ccc{VisibilityComplexVertex}.}
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\ccGlue
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\ccNestedType{Edge}{edge type. Model of \ccc{VisibilityComplexEdge}.}
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\ccGlue
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\ccNestedType{Face}{face type. Model of \ccc{VisibilityComplexFace}.}
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\ccNestedType{Vertex_handle}{handle to vertex.}
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\ccGlue
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\ccNestedType{Edge_handle}{handle to edge.}
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\ccGlue
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\ccNestedType{Face_handle}{handle to face.}
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\ccNestedType{Vertex_iterator}{iterator over all vertex.}
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\ccGlue
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\ccNestedType{Edge_iterator}{iterator over all edges.}
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\ccGlue
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\ccNestedType{Face_iterator}{iterator over all faces.}
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% +----------------------------------------------------------------------------+
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% +----------------------------------------------------------------------------+
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\ccCreation
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\ccCreationVariable{v}
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\ccConstructor{VisibilityComplex();}{default constructor.}
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\ccConstructor{
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template < class InputIterator , class ConstraintIt >
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VisibilityComplex(InputIterator first, InputIterator last,
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ConstraintIt firstc,ConstraintIt lastc);}
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{creates the visibility complex of the disks in the range
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$[$\ccc{first,last}$)$ and constraints in the range $[$\ccc{firstc,lastc}$)$.
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The value type of \ccc{InputIterator} is \ccc{Disk}.
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The value type of \ccc{ConstraintIt} is \ccc{Vertex}. }
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% +----------------------------------------------------------------------------+
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% +----------------------------------------------------------------------------+
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\ccOperations
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\ccTagFullDeclarations
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\ccMethod{Vertex_iterator vertices_begin();}{}
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\ccGlue
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\ccMethod{Vertex_iterator vertices_end();}{iterator over all vertices.}
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\ccGlue
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\ccMethod{Edge_iterator edges_begin();}{}
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\ccGlue
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\ccMethod{Edge_iterator edges_end();}{iterator over all edges.}
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\ccGlue
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\ccMethod{Face_iterator faces_begin();}{}
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\ccGlue
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\ccMethod{Face_iterator faces_end();}{iterator over all faces.}
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\ccGlue
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\ccTagDefaults
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% +----------------------------------------------------------------------------+
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% ------------------------------------------------------------------------------
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\ccHasModels
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\ccRefIdfierPage{CGAL::Visibility_complex_2<Gt,It>}
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% ------------------------------------------------------------------------------
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% +----------------------------------------------------------------------------+
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\ccSeeAlso
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\ccRefConceptPage{VisibilityComplexAntichain} \\
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\ccRefConceptPage{VisibilityComplexTraits} \\
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\ccRefConceptPage{VisibilityComplexVertex}\\
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\ccRefConceptPage{VisibilityComplexEdge}\\
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\ccRefConceptPage{VisibilityComplexFace}
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% +----------------------------------------------------------------------------+
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% +----------------------------------------------------------------------------+
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\end{ccRefConcept}
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\ccRefPageEnd
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% +----------------------------------------------------------------------------+
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