mirror of https://github.com/CGAL/cgal
67 lines
2.1 KiB
TeX
67 lines
2.1 KiB
TeX
% +------------------------------------------------------------------------+
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% | Reference manual page: GeneralDistance.tex
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% +------------------------------------------------------------------------+
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% | 1.07.2001 Johan W.H. Tangelder
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% | Package: ASPAS
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% |
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\RCSdef{\RCSGeneralDistanceRev}{$Id$}
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\RCSdefDate{\RCSGeneralDistanceDate}{$Date$}
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% |
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%%RefPage: end of header, begin of main body
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% +------------------------------------------------------------------------+
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\begin{ccRefConcept}{GeneralDistance}
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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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Requirements of a distance class defining a distance between a query item
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denoting a spatial object and a point.
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To optimize distance computations transformed distances are used,
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e.g., for a Euclidean distance the transformed distance is the squared
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Euclidean distance.
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\ccHasModels
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\ccc{CGAL::Manhattan_distance_iso_box_point<Traits>}\\
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\ccc{CGAL::Euclidean_distance_sphere_point<Traits>}.
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\ccTypes
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\ccNestedType{FT}{Number type.}
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\ccNestedType{Point_d}{Point type.}
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\ccNestedType{Query_item}{Query item type.}
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\ccCreationVariable{gd} %% choose variable name
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\ccOperations
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\ccMethod{FT transformed_distance(Query_item q, Point_d r);}{Returns the transformed distance between \ccc{q} and~\ccc{r}.}
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\ccMethod{FT min_distance_to_rectangle(Query_item q, Kd_tree_rectangle<FT> r) const;}
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{Returns the transformed distance between \ccc{q} and
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the point on the boundary of \ccc{r} closest to \ccc{q}.}
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\ccMethod{FT max_distance_to_rectangle(Query_item q, Kd_tree_rectangle<FT> r) const;}
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{Returns the transformed distance between \ccc{q} and
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the point on the boundary of \ccc{r} furthest to \ccc{q}.}
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\ccMethod{FT transformed_distance(FT d) const;} {Returns the transformed distance.}
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\ccMethod{FT inverse_of_transformed_distance(FT d) const;} {Returns the inverse of the transformed distance.}
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\end{ccRefConcept}
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% +------------------------------------------------------------------------+
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%%RefPage: end of main body, begin of footer
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% EOF
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% +------------------------------------------------------------------------+
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