mirror of https://github.com/CGAL/cgal
74 lines
2.4 KiB
TeX
Executable File
74 lines
2.4 KiB
TeX
Executable File
% +------------------------------------------------------------------------+
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% | Reference manual page: OrthogonalDistance.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{\RCSOrthogonalDistanceRev}{$Revision$}
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\RCSdefDate{\RCSOrthogonalDistanceDate}{$Date$}
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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}{OrthogonalDistance}
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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 an orthogonal distance class supporting incremental distance updates.
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To optimize distance computations transformed distances are used.
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E.g., for an Euclidean distance the transformed distance is the squared Euclidean distance.
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\ccRefines
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\ccc{GeneralDistance}
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\ccHasModels
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\ccc{CGAL::Euclidean_distance<Traits>},\\
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\ccc{CGAL::Weighted_Minkowski_distance<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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\ccCreation
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\ccCreationVariable{od} %% choose variable name
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\ccConstructor{OrthogonalDistance(int d);}{Constructor implementing distance for $d$-dimensional points.}
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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<Traits> r);}
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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<Traits> r);}
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{Returns the transformed distance between \ccc{q} and
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the point on the boundary of \ccc{r} farthest to \ccc{q}.}
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\ccMethod{FT transformed_distance(FT d);} {Returns the transformed distance.}
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\ccMethod{FT inverse_of_transformed_distance(FT d);} {Returns the inverse of the transformed distance.}
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\ccMethod{FT new_distance(FT dist, FT old_off, FT new_off, int cutting_dimension);} {Updates
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\ccc{dist} incrementally and returns the updated 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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