This class is a data structure that can be used as halfedge data structure or polyhedral surface. It is an alternative to the classes HalfedgeDS and Polyhedron_3 defined in the packages Halfedge Data Structures and 3D Polyhedral Surface. The main difference is that it is indexed based and not pointer based, and that the mechanism for adding information to vertices, halfedges, edges, and faces is much simpler and done at runtime and not at compile time. When elements are removed, they are only marked as removed, and a garbage collection function must be called to really remove them.
- Template Parameters
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| P | The type of the point property of a vertex. There is no requirement on P, besides being default constructible and assignable. In typical use cases it will be a 2D or 3D point type. |
- Is Model Of:
MutableFaceGraph and FaceListGraph
- See also
- Graph Concepts
- Examples:
- Surface_mesh/draw_surface_mesh.cpp, Surface_mesh/sm_bgl.cpp, Surface_mesh/sm_circulators.cpp, Surface_mesh/sm_derivation.cpp, Surface_mesh/sm_iterators.cpp, Surface_mesh/sm_kruskal.cpp, Surface_mesh/sm_memory.cpp, and Surface_mesh/sm_properties.cpp.
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Vertex_index | add_vertex () |
| | adds a new vertex, and resizes vertex properties if necessary.
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| Vertex_index | add_vertex (const Point &p) |
| | adds a new vertex, resizes vertex properties if necessary, and sets the point property to p. More...
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Halfedge_index | add_edge () |
| | adds a new edge, and resizes edge and halfedge properties if necessary.
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| Halfedge_index | add_edge (Vertex_index v0, Vertex_index v1) |
| | adds two opposite halfedges, and resizes edge and halfedge properties if necessary. Sets the targets of the halfedge to the given vertices, but does not modify the halfedge associated to the vertices. More...
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Face_index | add_face () |
| | adds a new face, and resizes face properties if necessary.
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| Face_index | add_face (const Range &vertices) |
| | if possible, adds a new face with vertices from a range with value type Vertex_index. The function adds halfedges between successive vertices if they are not yet indicent to halfedges, or updates the connectivity of halfedges already in place. Resizes halfedge, edge, and face properties if necessary. More...
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| Face_index | add_face (Vertex_index v0, Vertex_index v1, Vertex_index v2) |
| | adds a new triangle connecting vertices v0, v1, v2. More...
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| Face_index | add_face (Vertex_index v0, Vertex_index v1, Vertex_index v2, Vertex_index v3) |
| | adds a new quad connecting vertices v0, v1, v2, v3. More...
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Functions to check the number of elements, the amount of space allocated for elements, and to clear the structure.
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size_type | number_of_vertices () const |
| | returns the number of vertices in the mesh.
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size_type | number_of_halfedges () const |
| | returns the number of halfedges in the mesh.
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size_type | number_of_edges () const |
| | returns the number of edges in the mesh.
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size_type | number_of_faces () const |
| | returns the number of faces in the mesh.
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bool | is_empty () const |
| | returns true iff the mesh is empty, i.e., has no vertices, halfedges and faces.
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void | clear () |
| | removes all vertices, halfedge, edges and faces. Collects garbage and clears all properties.
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void | reserve (size_type nvertices, size_type nedges, size_type nfaces) |
| | reserves space for vertices, halfedges, edges, faces, and their currently associated properties.
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void | resize (size_type nvertices, size_type nedges, size_type nfaces) |
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bool | join (const Surface_mesh &other) |
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While removing elements only marks them as removed garbage collection really removes them. The API in this section allows to check whether an element is removed, to get the number of removed elements, and to collect garbage. The number of elements together with the number of removed elements is an upperbound on the index, and is needed by algorithms that temporarily store a property in a vector of the appropriate size. Note however that by garbage collecting elements get new indices. In case you store indices in an auxiliary data structure or in a property these indices are potentially no longer refering to the right elements.
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size_type | number_of_removed_vertices () const |
| | returns the number of vertices in the mesh which are marked removed.
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size_type | number_of_removed_halfedges () const |
| | returns the number of halfedges in the mesh which are marked removed.
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size_type | number_of_removed_edges () const |
| | returns the number of edges in the mesh which are marked removed.
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size_type | number_of_removed_faces () const |
| | returns the number offaces in the mesh which are marked removed.
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| bool | is_removed (Vertex_index v) const |
| | returns whether vertex v is marked removed. More...
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| bool | is_removed (Halfedge_index h) const |
| | returns whether halfedge h is marked removed. More...
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| bool | is_removed (Edge_index e) const |
| | returns whether edge e is marked removed. More...
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| bool | is_removed (Face_index f) const |
| | returns whether face f is marked removed. More...
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| bool | has_garbage () const |
| | checks if any vertices, halfedges, edges, or faces are marked as removed. More...
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| void | collect_garbage () |
| | really removes vertices, halfedges, edges, and faces which are marked removed. More...
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Functions in this group perform checks for structural consistency of a complete surface mesh, or an individual element. They are expensive and should only be used in debug configurations.
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bool | is_valid (bool verbose=true) const |
| | perform an expensive validity check on the data structure and print found errors to std::cerr when verbose == true.
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bool | is_valid (Vertex_index v) const |
| | performs a validity check on a single vertex.
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bool | is_valid (Halfedge_index h) const |
| | performs a validity check on a single halfedge.
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bool | is_valid (Edge_index e) const |
| | performs a validity check on a single ede.
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bool | is_valid (Face_index f) const |
| | performs a validity check on a single face.
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A halfedge, or edge is on the border of a surface mesh if it is incident to a null_face(). A vertex is on a border if it is isolated or incident to a border halfedge. While for a halfedge and edge this is a constant time operation, for a vertex it means to look at all incident halfedges. If algorithms operating on a surface mesh maintain that the halfedge associated to a border vertex is a border halfedge, this is a constant time operation too. This section provides functions to check if an element is on a border and to change the halfedge associated to a border vertex.
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bool | is_border (Vertex_index v, bool check_all_incident_halfedges=true) const |
| | returns whether v is a border vertex. Advanced With the default value for check_all_incident_halfedges the function iteratates over the incident halfedges. With check_all_incident_halfedges == false the function returns true, if the incident halfedge associated to vertex v is a border halfedge, or if the vertex is isolated.
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bool | is_border (Halfedge_index h) const |
| | returns whether h is a border halfege, that is if its incident face is sm.null_face().
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bool | is_border (Edge_index e) const |
| | returns whether e is a border edge, i.e., if any of its two halfedges is a border halfedge.
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bool | set_vertex_halfedge_to_border_halfedge (Vertex_index v) |
| | iterates over the incident halfedges and sets the incident halfedge associated to vertex v to a border halfedge and returns true if it exists.
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void | set_vertex_halfedge_to_border_halfedge (Halfedge_index h) |
| | applies set_vertex_halfedge_to_border_halfedge(Vertex_index) on all vertices around the face associated to h.
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void | set_vertex_halfedge_to_border_halfedge () |
| | applies set_vertex_halfedge_to_border_halfedge(Vertex_index) on all vertices of the surface mesh.
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bool | is_isolated (Vertex_index v) const |
| | returns whether v is isolated, i.e., incident to Surface_mesh::null_halfedge().
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A Properties::Property_map<I,T> allows to associate properties of type T to a vertex, halfdge, edge, or face index type I.
Properties can be added, and looked up with a string, and they can be removed at runtime. The point property of type P is associated to the string "v:point".
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template<class I , class T > |
| using | Property_map = unspecified_type |
| | Model of LvaluePropertyMap with I as key type and T as value type, where I is either a vertex, halfedge, edge, or face index type.
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template<class I , class T > |
| std::pair< Property_map< I, T >, bool > | add_property_map (std::string name=std::string(), const T t=T()) |
| | adds a property map named name with value type T and default t for index type I. Returns the property map together with a Boolean that is true if a new map was created. In case it already exists the existing map together with false is returned.
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template<class I , class T > |
| std::pair< Property_map< I, T >, bool > | property_map (const std::string &name) const |
| | returns a property map named name with key type I and value type T, and a Boolean that is true if the property exists. In case it does not exist the Boolean is false and the behavior of the property map is undefined.
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template<class I , class T > |
| void | remove_property_map (Property_map< I, T > &p) |
| | removes property map p. The memory allocated for that property map is freed.
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| std::vector< std::string > | properties () const |
| | returns a vector with all strings that describe properties with the key type I. More...
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Property_map< Vertex_index, Point > | points () const |
| | returns the property for the string "v:point".
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Property_map< Vertex_index, Point > & | points () |
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const Point & | point (Vertex_index v) const |
| | returns the point associated to vertex v.
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Point & | point (Vertex_index v) |
| | returns the point associated to vertex v.
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1.8.13