trying to clean up from the corruption

This commit is contained in:
Daniel Russel 2006-03-11 21:45:02 +00:00
parent 288bcac51b
commit 200a5fd9b4
3 changed files with 25 additions and 23 deletions

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@ -133,28 +133,28 @@ where this equivalence is exploited.
\begin{description}
\item[primitive] The basic geometric types--i.e.\ the points of a
triangulation. A primitive has a set of {\em coordinates}.
triangulation. A primitive has a set of {\em coordinates}.
\item[combinatorial structure] A structure built on top of the
primitives. The structure does not depend directly on the coordinates
of the primitives, only on relationships between them.
\item[trajectory] The path traced out by a primitive as time
passes. In other words how the coordinates of a primitive change with
time.
primitives. The structure does not depend directly on the
coordinates of the primitives, only on relationships between them.
\item[trajectory] The path traced out by a primitive as time passes.
In other words how the coordinates of a primitive change with time.
\item[snapshot] The position of all the primitives at a particular
moment in time.
moment in time.
\item[static] Having to do with geometric data structures on
non-moving primitives.
\item[predicate] A function which takes the coordinates of several
primitives from a snapshot as input and produces a discrete set of
outputs.
primitives from a snapshot as input and produces one of a discrete
set of outputs.
\item[certificate] One of a set of predicates which, when all having
the correct values, ensure that the combinatorial structure is
correct.
the correct values, ensure that the combinatorial structure is
correct.
\item[certificate function] A function of time which is positive when
the corresponding certificate has the correct value. Then the
certificate function changes sign, the combinatorial structure needs
to be updated.
the corresponding certificate has the correct value. When the
certificate function changes sign, the combinatorial structure needs
to be updated.
\item[event] When a certificate function changes sign and the
combinatorial structure needs to be updated.
\item[static] Having to do with geometric data structures on non-moving primitives.
combinatorial structure needs to be updated.
\end{description}

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@ -5,16 +5,18 @@ Along with the framework, we provide several already implemented kinetic data st
\begin{description}
\item[\ccc{Kinetic::Sort<Traits, Visitor>}] maintain a list of points
sorted by x-coordinate.
\item[\ccc{Kinetic::Delaunay_triangulation_2<Traits,Visitor,
Triangulation>},\ccc{Kinetic::Delaunay_triangulation_3<Traits,Visitor,
Triangulation>}] maintain the Delaunay triangulation of a set of two
or three dimensional points.
\item[\ccc{Kinetic::Delaunay_triangulation_2<Traits, Visitor,
Triangulation>}] maintain the Delaunay triangulation of a set of
two dimensional points
\item[\ccc{Kinetic::Delaunay_triangulation_3<Traits,Visitor,
Triangulation>}] maintain the Delaunay triangulation of a set of
three dimensional points.
\item[\ccc{Kinetic::Regular_triangulation_3<Traits, Visitor,
Triangulation}>] maintain the regular triangulation of a set of waiting
three dimensional points.
\item[\ccc{Kinetic::Enclosing_box_2<Traits>},
\ccc{Kinetic::Enclosing_box_3<Traits>}] restrict points to stay within
a box by bouncing them off the walls.
\ccc{Kinetic::Enclosing_box_3<Traits>}] restrict points to stay
within a box by bouncing them off the walls.
\end{description}

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@ -1,4 +1,4 @@
\subsection{Two Dimensional Delaunay}
\subsection{Using a provided kinetic data structure}
\label{sec:sort_example}
Using a kinetic data structure can be as simple as the following: