diff --git a/Constrained_triangulation_3/doc/Constrained_triangulation_3/Constrained_triangulation_3.txt b/Constrained_triangulation_3/doc/Constrained_triangulation_3/Constrained_triangulation_3.txt index c2e9f2b2e93..229210bf41f 100644 --- a/Constrained_triangulation_3/doc/Constrained_triangulation_3/Constrained_triangulation_3.txt +++ b/Constrained_triangulation_3/doc/Constrained_triangulation_3/Constrained_triangulation_3.txt @@ -28,7 +28,7 @@ as described in the chapter \ref PkgTriangulation3. The article by Cohen-Steiner et al. \cgalCite{cgal:cohen2002conforming} discusses the problem of constructing conforming Delaunay triangulations and proposes an algorithm to address it. -Si's work \cgalCite{si2005meshing}, \cgalCite{cgal:si2008cdt3}, \cgalCite{si2015tetgen}, +Si et al.'s work \cgalCite{si2005meshing}, \cgalCite{cgal:si2008cdt3}, \cgalCite{si2015tetgen}, presents an algorithm for computing conforming constrained Delaunay triangulations in 3D. @@ -299,7 +299,7 @@ The following table of figures (\cgalFigureRef{CT_3_ccdt_examples_fig}) illustra The left column shows the input PLC, while the right column displays the resulting conforming constrained Delaunay triangulation. -From top to bottom, the lines show different input data (all from) the same input triangulated surface and, +From top to bottom, the lines show different input PLC, from the same input triangulated surface and, for each of them, the resulting conforming constrained Delaunay triangulation. The input data are: +On the fourth line, the input PLC is remeshed using `CGAL::Polygon_mesh_processing::isotropic_remeshing()`. +The resulting conforming constrained Delaunay triangulation contains fewer vertices than the input +remeshed and segmented input PLC. This reduction occurs because only the boundary edges of the PLC faces +are marked as constraints in the triangulation; +interior edges that do not lie on the boundaries of surface patches (as defined by `plc_face_id`) are ignored. +As a result, these non-boundary edges are omitted from the triangulation, leading to a coarser triangulation. \cgalFigureAnchor{CT_3_ccdt_examples_fig}
@@ -325,7 +331,7 @@ The left column shows the input PLC, while the right column displays the resulti The initial version of this package was implemented by Laurent Rineau and released in \cgal 6.1 (2025). Jane Tournois contributed to the documentation and helped improve the API. The package design and algorithms are grounded in the theoretical work of -Hang Si on meshing algorithms \cgalCite{si2005meshing}, \cgalCite{si2015tetgen}. +Hang Si et al. on meshing algorithms \cgalCite{si2005meshing}, \cgalCite{si2015tetgen}. */ } /* namespace CGAL */