This commit is contained in:
Sébastien Loriot 2010-01-14 10:16:17 +00:00
parent d8e224951c
commit 7d93823e16
2 changed files with 4 additions and 4 deletions

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@ -117,7 +117,7 @@ diagram are one-dimensional and that all Voronoi cells are simply
connected. Moreover, we further distinguish between two cases,
according to the type of intersecting pair that our input data set
contains. A pair of sites is called \emph{weakly intersecting} if they
a single common point and this common point does not lie in the
have a single common point and this common point does not lie in the
interior of any of the two sites. A pair of sites is called
\emph{strongly intersecting} if they intersect and they either have
more than one common point or their common point lies in the interior
@ -284,12 +284,12 @@ boolean is equal to \ccc{true}. The segment $s_1q_1$ will also be
represented by two segments, a point, and a boolean, namely, $t_1$
(the supporting segment of $s_1q_1$), $t_2$ and \ccc{false} (it is the
second endpoint of $s_1q_1$ that is an input point). Subsegments
$p_2s_2$ and $s_2q_2$ are represented analogously.
$p_2s_1$ and $s_1q_2$ are represented analogously.
Consider now what happens when we insert $t_3$. The point
$s_2$ will again be represented by two segments, but not $s_1q_1$ and
$t_3$. In fact, it will be represented by $t_1$ (the supporting
segment of $s_1q_1$) and $t_3$. $s_2q_1$ will be represented
by two segments, a point, and a boolean ($t_1$, $t_3$ and
by two segments, a point, and a boolean ($t_1$, $t_3$, $q1$ and
\ccc{false}), and similarly for $p_3s_2$ and $s_2q_3$. On the other
hand, both endpoints of $s_1s_2$ are non-input points. In such a
case we represent the segment by three input segments.

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@ -21,7 +21,7 @@
\subsection{First Example}
The following example shows to use the segment Delaunay graph traits
The following example shows how to use the segment Delaunay graph traits
in conjunction with the \ccc{Filtered_exact<CT,ET>} mechanism. In
addition it shows how to use a few of the iterators provided by the
\ccc{Segment_Delaunay_graph_2} class in order to count a few