From 49cae75c36b4c33b3b058e700981be5d6e4abd7c Mon Sep 17 00:00:00 2001 From: Iordan Iordanov Date: Wed, 12 Dec 2018 18:04:45 +0100 Subject: [PATCH] Small changes to user manual + new header image --- .../Hyperbolic_triangulation_2.txt | 10 ++++++---- 1 file changed, 6 insertions(+), 4 deletions(-) diff --git a/Hyperbolic_triangulation_2/doc/Hyperbolic_triangulation_2/Hyperbolic_triangulation_2.txt b/Hyperbolic_triangulation_2/doc/Hyperbolic_triangulation_2/Hyperbolic_triangulation_2.txt index 32d1b4e7afd..f6c887ab546 100644 --- a/Hyperbolic_triangulation_2/doc/Hyperbolic_triangulation_2/Hyperbolic_triangulation_2.txt +++ b/Hyperbolic_triangulation_2/doc/Hyperbolic_triangulation_2/Hyperbolic_triangulation_2.txt @@ -48,7 +48,7 @@ unit disk, the combinatorial structure of the hyperbolic Delaunay triangulation of a set \f$\mathcal P\f$ of points in \f$\mathbb H^2\f$ is a subset of the Euclidean Delaunay triangulation of \f$\mathcal P\f$ (see -\cgalFigureRef{Hyperbolic_triangulation_2Euclidean_vs_hyperbolic}-Left). More +\cgalFigureRef{Hyperbolic_triangulation_2Euclidean_vs_hyperbolic} - Left). More precisely, the hyperbolic Delaunay triangulation of \f$\mathcal P\f$ only contains the simplices of the Euclidean Delaunay triangulation that are hyperbolic: @@ -64,7 +64,7 @@ are hyperbolic: In the Euclidean Delaunay triangulation, there is a bijection between non-hyperbolic faces and non-hyperbolic edges \cgalCite{cgal:bdt-hdcvd-14}, illustrated by -\cgalFigureRef{Hyperbolic_triangulation_2Euclidean_vs_hyperbolic}-Right. +\cgalFigureRef{Hyperbolic_triangulation_2Euclidean_vs_hyperbolic} - Right. \cgalFigureAnchor{Hyperbolic_triangulation_2Euclidean_vs_hyperbolic}
@@ -87,7 +87,7 @@ The hyperbolic Delaunay triangulation is a simplicial complex, i.e., a set of si
  • any face of a simplex is a simplex,
  • two simplices either are disjoint or share a common face. -Moreover, it is connected. +Moreover, it is connected \cgalCite{cgal:bdt-hdcvd-14}. \section HT2_Software_design Software Design From what was said above, it is natural that the class @@ -164,7 +164,7 @@ executed on two machines: Sequential insertion %Iterator insertion Sequential insertion %Iterator insertion Hyperbolic (%CORE traits) 955 sec. 23 sec. 884 sec. 20 sec. Hyperbolic (CK traits) 330 sec. 1 sec. 289 sec. 1 sec. - Euclidean (EPICK) 131 sec. < 1 sec. 114 sec. < 1 sec. + Euclidean (EPICK) 131 sec. 0.71 sec. 114 sec. 0.68 sec.
  • @@ -180,6 +180,8 @@ traits class `CGAL::Hyperbolic_Delaunay_triangulation_traits_2` and worked on the documentations. Both were PhD candidates advised by Monique Teillaud. +Authors acknowledge partial support from ANR SoS. + */ } /* namespace CGAL */