mirror of https://github.com/CGAL/cgal
trying to clean up from the corruption
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@ -133,28 +133,28 @@ where this equivalence is exploited.
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\begin{description}
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\item[primitive] The basic geometric types--i.e.\ the points of a
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triangulation. A primitive has a set of {\em coordinates}.
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triangulation. A primitive has a set of {\em coordinates}.
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\item[combinatorial structure] A structure built on top of the
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primitives. The structure does not depend directly on the coordinates
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of the primitives, only on relationships between them.
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\item[trajectory] The path traced out by a primitive as time
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passes. In other words how the coordinates of a primitive change with
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time.
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primitives. The structure does not depend directly on the
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coordinates of the primitives, only on relationships between them.
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\item[trajectory] The path traced out by a primitive as time passes.
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In other words how the coordinates of a primitive change with time.
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\item[snapshot] The position of all the primitives at a particular
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moment in time.
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moment in time.
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\item[static] Having to do with geometric data structures on
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non-moving primitives.
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\item[predicate] A function which takes the coordinates of several
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primitives from a snapshot as input and produces a discrete set of
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outputs.
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primitives from a snapshot as input and produces one of a discrete
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set of outputs.
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\item[certificate] One of a set of predicates which, when all having
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the correct values, ensure that the combinatorial structure is
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correct.
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the correct values, ensure that the combinatorial structure is
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correct.
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\item[certificate function] A function of time which is positive when
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the corresponding certificate has the correct value. Then the
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certificate function changes sign, the combinatorial structure needs
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to be updated.
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the corresponding certificate has the correct value. When the
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certificate function changes sign, the combinatorial structure needs
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to be updated.
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\item[event] When a certificate function changes sign and the
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combinatorial structure needs to be updated.
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\item[static] Having to do with geometric data structures on non-moving primitives.
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combinatorial structure needs to be updated.
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\end{description}
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@ -5,16 +5,18 @@ Along with the framework, we provide several already implemented kinetic data st
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\begin{description}
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\item[\ccc{Kinetic::Sort<Traits, Visitor>}] maintain a list of points
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sorted by x-coordinate.
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\item[\ccc{Kinetic::Delaunay_triangulation_2<Traits,Visitor,
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Triangulation>},\ccc{Kinetic::Delaunay_triangulation_3<Traits,Visitor,
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Triangulation>}] maintain the Delaunay triangulation of a set of two
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or three dimensional points.
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\item[\ccc{Kinetic::Delaunay_triangulation_2<Traits, Visitor,
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Triangulation>}] maintain the Delaunay triangulation of a set of
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two dimensional points
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\item[\ccc{Kinetic::Delaunay_triangulation_3<Traits,Visitor,
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Triangulation>}] maintain the Delaunay triangulation of a set of
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three dimensional points.
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\item[\ccc{Kinetic::Regular_triangulation_3<Traits, Visitor,
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Triangulation}>] maintain the regular triangulation of a set of waiting
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three dimensional points.
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\item[\ccc{Kinetic::Enclosing_box_2<Traits>},
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\ccc{Kinetic::Enclosing_box_3<Traits>}] restrict points to stay within
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a box by bouncing them off the walls.
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\ccc{Kinetic::Enclosing_box_3<Traits>}] restrict points to stay
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within a box by bouncing them off the walls.
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\end{description}
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@ -1,4 +1,4 @@
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\subsection{Two Dimensional Delaunay}
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\subsection{Using a provided kinetic data structure}
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\label{sec:sort_example}
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Using a kinetic data structure can be as simple as the following:
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