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 935bd5c57c0..17f8b0711ba 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 @@ -11,7 +11,7 @@ namespace CGAL { \cgalAutoToc \author Monique Teillaud, Mikhail Bogdanov, and Iordan Iordanov -\image html htriangulation-350px.png +\image html ht-450px.png 2D hyperbolic triangulations of \cgal are designed to represent triangulations of the hyperbolic plane. The vertices of the triangulation are defined by an input set of points. @@ -35,6 +35,11 @@ The Delaunay triangulation of a set of points \f$\mathcal P\f$ in \f$\mathbb H^2
  • A face is Delaunay hyperbolic if its circumscribing circle is contained in \f$\mathbb H^2\f$. \cgalModifEnd +For an illustration, see \cgalFigureRef{figEmptyDisks} + +\cgalFigureBegin{figEmptyDisks, ht-empty-disks.png} +A face is Delaunay hyperbolic if its circumscribing disk is empty and is also contained in \f$\mathbb H^2\f$ (shaded face). An edge is hyperbolic if there exists at least one disk that passes through its endpoints and is contained in \f$\mathbb H^2\f$. An example of non-hyperbolic edge is the dashed segment: the disks that pass through its endpoints and are contained in \f$\mathbb H^2\f$ are not empty; on the other hand, the disks that pass through its endpoint and are empty, are not contained in \f$\mathbb H^2\f$. +\cgalFigureEnd \section HT2_Design Design and Implementation History diff --git a/Hyperbolic_triangulation_2/doc/Hyperbolic_triangulation_2/PackageDescription.txt b/Hyperbolic_triangulation_2/doc/Hyperbolic_triangulation_2/PackageDescription.txt index ac4cbbe5794..870f15b823f 100644 --- a/Hyperbolic_triangulation_2/doc/Hyperbolic_triangulation_2/PackageDescription.txt +++ b/Hyperbolic_triangulation_2/doc/Hyperbolic_triangulation_2/PackageDescription.txt @@ -18,7 +18,7 @@ \addtogroup PkgHyperbolicTriangulation2 \cgalPkgDescriptionBegin{2D Hyperbolic Triangulations,PkgHyperbolicTriangulation2Summary} -\cgalPkgPicture{Hyperbolic_triangulation_2/fig/htriangulation-120px.png} +\cgalPkgPicture{Hyperbolic_triangulation_2/fig/ht-120px.png} \cgalPkgSummaryBegin \cgalPkgAuthor{Monique Teillaud, Mikhail Bogdanov, and Iordan Iordanov}