CGAL 5.6.3 - Triangulated Surface Mesh Simplification

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CGAL::Surface_mesh_simplification::Edge_profile< TriangleMesh, VertexPointMap, GeomTraits > Class Template Reference
Triangulated Surface Mesh Simplification Reference

`#include <CGAL/Surface_mesh_simplification/Policies/Edge_collapse/Edge_profile.h>`

## Definition

template<typename TriangleMesh, typename VertexPointMap, typename GeomTraits>
class CGAL::Surface_mesh_simplification::Edge_profile< TriangleMesh, VertexPointMap, GeomTraits >

The class `Edge_profile` regroups useful information about an edge, such as its incident vertices and faces.

Its purpose is to pass this information onto the chosen models of `GetCost` and `GetPlacement`, and as such an object of this type appears as a parameter in the `operator()` of both concepts.

The template parameters of this class must be consistent with the types used in the main call to `edge_collapse()`: if you have specified a vertex point map or a geometric traits (via `CGAL::parameters::vertex_point_map()` and `CGAL::parameters::geom_traits()` respectively), then the template parameters must be identical.

Note however that if you wish to define your own models of the `GetCost` or `GetPlacement` concepts, you can simply template the call to `operator()` by an "EdgeProfile" template parameter, which will avoid having to explicit the template parameters of the `Edge_profile` class: indeed, the profile appears as an argument of the `operator()` functions of these two concepts and automatic template deduction can therefore be used.

Template Parameters

  TriangleMesh | is the type of surface mesh being simplified
  VertexPointMap | is the type of the map that associates geometric positions to vertices of the mesh. If you have specified a vertex point map in the named parameters in the call to `edge_collapse()`, it must the same map type. Otherwise, you need not specify this template parameter and it will be automatically deduced.
  GeomTraits | is the type of the kernel that is used to perform predicates and constructions on geometric objects. If you have specified a traits class in the named parameters in the call to `edge_collapse()`, it must be the same traits class type. Otherwise, you need not specify this template parameter and it will be automatically deduced.

See also
  `GetCost`
  `GetPlacement`

## Types
typedef TriangleMesh | Triangle_mesh
| The type of the surface mesh to simplify.
typedef VertexPointMap | Vertex_point_map
| The type of a property map that maps vertices on points.
typedef GeomTraits | Geom_traits
| The type of a kernel-like objects used for predicates and constructions.
typedef boost::graph_traits< TriangleMesh >::vertex_descriptor | vertex_descriptor
| A BGL vertex descriptor representing a vertex of the surface mesh.
typedef boost::graph_traits< TriangleMesh >::halfedge_descriptor | halfedge_descriptor
| A BGL halfedge descriptor representing a halfedge of the surface mesh.
typedef boost::graph_traits< TriangleMesh >::edge_descriptor | edge_descriptor
| A BGL edge descriptor representing an edge of the surface mesh.
typedef boost::graph_traits< TriangleMesh >::edges_size_type | edges_size_type
| The unsigned integer type used for representing the number of edges in the graph.
typedef boost::property_traits< VertexPointMap >::value_type | Point
| The point type for the surface mesh vertex.
typedef GeomTraits::FT | FT
| The coordinate type of points.

## Access Functions
vertex_descriptor | v0 () const
| One of vertices of the edge to be collapsed.
vertex_descriptor | v1 () const
| The other vertex of the edge to be collapsed.
halfedge_descriptor | v0_v1 () const
| One of the directed edges corresponding to the halfedge being collapsed.
halfedge_descriptor | v1_v0 () const
| The other directed edge corresponding to the halfedge being collapsed.
const Point & | p0 () const
| The point of vertex `v0`.
const Point & | p1 () const
| The point of vertex `v1`.
vertex_descriptor | vL () const
| If `v0v1` belongs to a finite face (is not a border edge) the third vertex of that triangular face, a null descriptor otherwise.
halfedge_descriptor | v1_vL () const
| If `v0v1` belongs to a finite face (is not a border edge) the directed edge from `v1` to `vL`, a null descriptor otherwise.
halfedge_descriptor | vL_v0 () const
| If `v0v1` belongs to a finite face (is not a border edge) the directed edge from `vL` to `v0`, a null descriptor otherwise.
vertex_descriptor | vR () const
| If `v1v0` belongs to a finite face (is not a border edge) the third vertex of that triangular face, a null descriptor otherwise.
halfedge_descriptor | v0_vR () const
| If `v1v0` belongs to a finite face (is not a border edge) the directed edge from `v0` to `vR`, a null descriptor otherwise.
halfedge_descriptor | vR_v1 () const
| If `v1v0` belongs to a finite face (is not a border edge) the directed edge from `vR` to `v1`, a null descriptor otherwise.
std::vector< vertex_descriptor > | link () const
| The unique sequence of the vertices around `v0v1` in topological order (ccw or cw depending on the relative ordering of `v0` and `v1` in the profile).
std::vector< halfedge_descriptor > | border_edges () const
| The unique collection of the border directed edges incident upon `v0` and `v1`.
bool | left_face_exists () const
| Indicates if `v0v1` belongs to a finite face of the surface mesh (i.e, `v0v1` is not a border edge).
bool | right_face_exists () const
| Indicates if `v0v1` belongs to a finite face of the surface mesh (i.e, `v1v0` is not a border edge).
const Triangle_mesh & | surface_mesh () const
| Returns the surface mesh the edge belongs to.
const Vertex_point_map & | vertex_point_map () const
| Returns the vertex point property map.
const Geom_traits & | geom_traits () const
| Returns the geometric traits class.

## Member Function Documentation

## ◆ link()

template<typename TriangleMesh , typename VertexPointMap , typename GeomTraits >

std::vector< vertex_descriptor > CGAL::Surface_mesh_simplification::Edge_profile< TriangleMesh, VertexPointMap, GeomTraits >::link | ( |  | ) | const

The unique sequence of the vertices around `v0v1` in topological order (ccw or cw depending on the relative ordering of `v0` and `v1` in the profile).

The sequence may have duplicates, but when this happens the edge is not collapsible.