CGAL 4.7 - 2D Alpha Shapes: AlphaShapeVertex_2 Concept Reference

\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.7 - 2D Alpha Shapes

All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Groups Pages
List of all members
AlphaShapeVertex_2 Concept Reference
Concepts

## Definition

Refines:
  `TriangulationVertexBase_2`

Has Models:
  `CGAL::Alpha_shape_vertex_base_2`

## Types

typedef unspecified_type | FT
| A coordinate type. More...

## Creation

| AlphaShapeVertex_2 ()
| default constructor.
| AlphaShapeVertex_2 (Point p)
| constructor setting the point.
| AlphaShapeVertex_2 (Point p, const Face_handle &ff)
| constructor setting the point associated to and an incident face.

## Access Functions

std::pair< FT, FT > | get_range ()
| returns two alpha values \( \alpha_1 \leq\alpha_2\), such as for \( \alpha\) between \( \alpha_1\) and \( \alpha_2\), the vertex is attached but singular, and for \( \alpha\) upper \( \alpha_2\), the vertex is regular.

## Modifiers

void | set_range (std::pair< FT, FT > I)
| sets the alpha values \( \alpha_1 \leq\alpha_2\), such as for \( \alpha\) between \( \alpha_1\) and \( \alpha_2\), the vertex is attached but singular, and for \( \alpha\) upper \( \alpha_2\), the vertex is regular.

## Member Typedef Documentation

typedef unspecified_type AlphaShapeVertex_2::FT

A coordinate type.

The type must provide a copy constructor, assignment, comparison operators, negation, multiplication, division and allow the declaration and initialization with a small integer constant (cf. requirements for number types). An obvious choice would be coordinate type of the point class.