mirror of https://github.com/CGAL/cgal
82 lines
2.7 KiB
TeX
82 lines
2.7 KiB
TeX
% +------------------------------------------------------------------------+
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% | Reference manual page: MeshFacetCriteria_3.tex
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% +------------------------------------------------------------------------+
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% | 13.02.2009 Author
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% | Package: Mesh_3
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% |
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\RCSdef{\RCSMeshFacetCriteriaRev}{$Id$}
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\RCSdefDate{\RCSMeshFacetCriteriaDate}{$Date$}
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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{ccRefFunctionObjectConcept}{MeshFacetCriteria_3}
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%% \ccHtmlCrossLink{} %% add further rules for cross referencing links
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%% \ccHtmlIndexC[concept]{} %% add further index entries
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\ccDefinition
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The Delaunay refinement process involved in the
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templated functions \ccc{make_mesh_3} and \ccc{refine_mesh_3}
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is guided by a set of elementary refinement criteria
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that concern either mesh tetrahedra or surface facets.
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The concept \ccRefName\ describes the types that
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handle the refinement criteria for boundary facets.
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\ccTypes
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\ccNestedType{Facet}{Type for the facets of the
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triangulation. Must match the \ccc{Facet} type in the
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triangulation type used by the mesh generation function.}
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\ccNestedType{Cell_handle}{Handle type for the cells of the
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triangulation. Must match the \ccc{Cell_handle} type in the
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triangulation type used by the mesh generation function.}
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\ccNestedType{Facet_quality}{Type representing the quality of a
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facet. Must be a model of CopyConstructible and
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LessThanComparable. Between two facets, the one which has the lower
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quality must have the lower \ccc{Facet_quality}.}
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\ccNestedType{Facet_badness}{Type representing if a facet is bad or not. This type
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must be convertible to \ccc{bool}. If it converts to \ccc{true} then the facet is bad, otherwise
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the facet is good with regard to the criteria.
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In addition, an object of this type must contain an object of type
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\ccc{Facet_quality} if it represents
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a bad facet. \ccc{Facet_quality} must be accessible by
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\ccc{operator*()}. Note that \ccc{boost::optional<Facet_quality>} is
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a natural model of this concept} % boost::optional
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\ccCreationVariable{facet_criteria}
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\ccOperations
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\ccMethod{Facet_badness operator()(Facet f);}
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{Returns \ccc{Facet_badness} value of facet \ccc{f}.}
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\ccMethod{Facet_badness operator()(Cell_handle c, int i);}
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{Same as above with \ccc{f=(c,i)}.}
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\ccHasModels
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\ccc{Mesh_facet_criteria_3<Tr>}
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\ccSeeAlso
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\ccc{MeshCellCriteria_3}\\
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\ccc{MeshCriteria_3} \\
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\ccc{make_mesh_3} \\
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\ccc{refine_mesh_3}\\
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\end{ccRefFunctionObjectConcept}
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% +------------------------------------------------------------------------+
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%%RefPage: end of main body, begin of footer
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\ccRefPageEnd
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% EOF
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% +------------------------------------------------------------------------+
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