Incorporated the changes proposed by Marc:

- Changed to code to show the menus
- Added a sentence to mention the distribution of the points
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Nico Kruithof 2013-04-04 20:11:57 +02:00
parent 220b3ac3e9
commit 4edb672243
1 changed files with 5 additions and 4 deletions

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@ -135,7 +135,7 @@ data structure, is `locally valid`
<B>(c)</B> Any cell has its vertices ordered according to positive
orientation. See Figure \cgalFigureRef{P2Triangulation2figorient}.
# Delaunay Triangulation #
\section P2T2_Delaunay Delaunay Triangulation
The class `Periodic_2_Delaunay_triangulation_2` implements Delaunay
triangulations of point sets in \f$ \mathbb T_c^2\f$.
@ -150,7 +150,7 @@ four points are co-circular. Note however that the \cgal implementation computes
This implementation is fully dynamic: it supports both insertions of
points and vertex removal.
# Triangulation Hierarchy #
\section P2T2_Hierarchy Triangulation Hierarchy
The class `Periodic_2_triangulation_hierarchy_2` is the adaptation
of the hierarchical structure described in
@ -372,7 +372,7 @@ requires <I>exact constructions</I>.
\cgalExample{Periodic_2_triangulation_2/p2t2_geometric_access.cpp}
# Design and Implementation History #
\section P2T2_Design Design and Implementation History
The periodic 2D-triangulation is based on the 2D triangulation package
developed by Mariette Yvinec and the periodic 3D-triangulation package
@ -383,11 +383,12 @@ developed by Manuel Caroli and Monique Teillaud. The periodic
In 2009, Nico Kruithof started implementation of the
`Periodic_2_triangulation_2` package.
# Performance #
\section P2T2_Performance Performance
The performance of the 2D periodic Delaunay triangulation is compared
to the Euclidean 2D Delaunay triangulation. The plot shows the running
time in seconds for different numbers of batch inserted points. The
points are uniformly randomly distributed in the unit rectangle. The
tests were done on an Intel i7 @ 2.67GHz.
\image html p2dt2_performance.png