\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.12 - 3D Triangulation Data Structure
List of all members
CGAL::Triangulation_utils_3 Struct Reference
3D Triangulation Data Structure Reference » Classes

#include <CGAL/Triangulation_utils_3.h>

Inherited by CGAL::Triangulation_3< Traits, TDS, SLDS >, CGAL::Triangulation_data_structure_3< TriangulationDSVertexBase_3, TriangulationDSCellBase_3, Concurrency_tag >, and Triangulation_3< Traits, Delaunay_triangulation_3< Traits, TDS, LP >::Triangulation_data_structure, SLDS >.

Definition

The class Triangulation_utils_3 defines operations on the indices of vertices and neighbors within a cell.

utils.png
utils-next-around-edge.png

Figure 43.1 Operations on indices.

Operations

static unsigned int next_around_edge (unsigned int i, unsigned int j)
 In dimension 3, index of the neighbor n that is next to the current cell, when turning positively around an oriented edge whose endpoints are indexed i and j. More...
 
static int vertex_triple_index (const int i, const int j)
 In dimension 3, index of the j'th vertex in counterclockwise order on the face opposite to vertex with i of the cell. More...
 
static unsigned int ccw (unsigned int i)
 Has a meaning only in dimension 2. More...
 
static unsigned int cw (unsigned int i)
 Same for clockwise.
 

Member Function Documentation

◆ ccw()

static unsigned int CGAL::Triangulation_utils_3::ccw ( unsigned int  i)
static

Has a meaning only in dimension 2.

Computes the index of the vertex that is next to the vertex numbered i in counterclockwise direction. (see Figure 43.1).

Precondition
i<3.

◆ next_around_edge()

static unsigned int CGAL::Triangulation_utils_3::next_around_edge ( unsigned int  i,
unsigned int  j 
)
static

In dimension 3, index of the neighbor n that is next to the current cell, when turning positively around an oriented edge whose endpoints are indexed i and j.

According to the usual numbering of vertices and neighbors in a given cell, it is also the index of the vertex opposite to this neighbor n. (see Figure 43.1).

Precondition
( i < 4 ) && ( j < 4 ) && ( i != j ).

◆ vertex_triple_index()

static int CGAL::Triangulation_utils_3::vertex_triple_index ( const int  i,
const int  j 
)
static

In dimension 3, index of the j'th vertex in counterclockwise order on the face opposite to vertex with i of the cell.

Precondition
( i < 4 ) && ( j < 3 ).