A halfedge data structure for polygonal meshes. More...

#include <pmp/SurfaceMesh.h>

Inheritance diagram for SurfaceMesh:

Classes
class	EdgeContainer
	helper class for iterating through all edges using range-based for-loops. More...

class	EdgeIterator
	this class iterates linearly over all edges More...

class	FaceAroundVertexCirculator
	this class circulates through all incident faces of a vertex. More...

class	FaceContainer
	helper class for iterating through all faces using range-based for-loops. More...

class	FaceIterator
	this class iterates linearly over all faces More...

class	HalfedgeAroundFaceCirculator
	this class circulates through all halfedges of a face. More...

class	HalfedgeAroundVertexCirculator
	this class circulates through all outgoing halfedges of a vertex. More...

class	HalfedgeContainer
	helper class for iterating through all halfedges using range-based for-loops. More...

class	HalfedgeIterator
	this class iterates linearly over all halfedges More...

class	VertexAroundFaceCirculator
	this class circulates through the vertices of a face. More...

class	VertexAroundVertexCirculator
	this class circulates through all one-ring neighbors of a vertex. More...

class	VertexContainer
	helper class for iterating through all vertices using range-based for-loops. More...

class	VertexIterator
	An iterator class to iterate linearly over all vertices. More...

Public Member Functions
Construction, destruction, assignment
	SurfaceMesh ()
	default constructor

	~SurfaceMesh ()
	destructor

	SurfaceMesh (const SurfaceMesh &rhs)
	copy constructor: copies `rhs` to `*this`. More...

SurfaceMesh &	operator= (const SurfaceMesh &rhs)
	assign `rhs` to `*this`. performs a deep copy of all properties.

SurfaceMesh &	assign (const SurfaceMesh &rhs)
	assign `rhs` to `*this`. does not copy custom properties.

File IO
bool	read (const std::string &filename, const IOFlags &flags=IOFlags())
	Read mesh from file `filename` controlled by `flags`. More...

bool	write (const std::string &filename, const IOFlags &flags=IOFlags()) const
	Write mesh to file `filename` controlled by `flags`. More...

Add new elements by hand
Vertex	add_vertex (const Point &p)
	add a new vertex with position `p`

Face	add_face (const std::vector< Vertex > &vertices)
	add a new face with vertex list `vertices` More...

Face	add_triangle (Vertex v0, Vertex v1, Vertex v2)
	add a new triangle connecting vertices `v0`, `v1`, `v2` More...

Face	add_quad (Vertex v0, Vertex v1, Vertex v2, Vertex v3)
	add a new quad connecting vertices `v0`, `v1`, `v2`, `v3` More...

Memory Management
size_t	vertices_size () const
	returns number of (deleted and valid) vertices in the mesh

size_t	halfedges_size () const
	returns number of (deleted and valid) halfedges in the mesh

size_t	edges_size () const
	returns number of (deleted and valid) edges in the mesh

size_t	faces_size () const
	returns number of (deleted and valid) faces in the mesh

size_t	n_vertices () const
	returns number of vertices in the mesh

size_t	n_halfedges () const
	returns number of halfedge in the mesh

size_t	n_edges () const
	returns number of edges in the mesh

size_t	n_faces () const
	returns number of faces in the mesh

bool	is_empty () const
	returns true if the mesh is empty, i.e., has no vertices

void	clear ()
	clear mesh: remove all vertices, edges, faces

void	free_memory ()
	remove unused memory from vectors

void	reserve (size_t nvertices, size_t nedges, size_t nfaces)
	reserve memory (mainly used in file readers)

void	garbage_collection ()
	remove deleted elements

bool	is_deleted (Vertex v) const
	returns whether vertex `v` is deleted More...

bool	is_deleted (Halfedge h) const
	returns whether halfedge `h` is deleted More...

bool	is_deleted (Edge e) const
	returns whether edge `e` is deleted More...

bool	is_deleted (Face f) const
	returns whether face `f` is deleted More...

bool	is_valid (Vertex v) const
	return whether vertex `v` is valid, i.e. More...

bool	is_valid (Halfedge h) const
	return whether halfedge `h` is valid, i.e. More...

bool	is_valid (Edge e) const
	return whether edge `e` is valid, i.e. the index is stores it within the array bounds.

bool	is_valid (Face f) const
	returns whether the face `f` is valid.

Low-level connectivity
Halfedge	halfedge (Vertex v) const
	returns an outgoing halfedge of vertex `v`. More...

void	set_halfedge (Vertex v, Halfedge h)
	set the outgoing halfedge of vertex `v` to `h`

bool	is_boundary (Vertex v) const
	returns whether `v` is a boundary vertex

bool	is_isolated (Vertex v) const
	returns whether `v` is isolated, i.e., not incident to any edge

bool	is_manifold (Vertex v) const
	returns whether `v` is a manifold vertex (not incident to several patches)

Vertex	to_vertex (Halfedge h) const
	returns the vertex the halfedge `h` points to

Vertex	from_vertex (Halfedge h) const
	returns the vertex the halfedge `h` emanates from

void	set_vertex (Halfedge h, Vertex v)
	sets the vertex the halfedge `h` points to to `v`

Face	face (Halfedge h) const
	returns the face incident to halfedge `h`

void	set_face (Halfedge h, Face f)
	sets the incident face to halfedge `h` to `f`

Halfedge	next_halfedge (Halfedge h) const
	returns the next halfedge within the incident face

void	set_next_halfedge (Halfedge h, Halfedge nh)
	sets the next halfedge of `h` within the face to `nh`

void	set_prev_halfedge (Halfedge h, Halfedge ph)
	sets the previous halfedge of `h` and the next halfedge of `ph` to `nh`

Halfedge	prev_halfedge (Halfedge h) const
	returns the previous halfedge within the incident face

Halfedge	opposite_halfedge (Halfedge h) const
	returns the opposite halfedge of `h`

Halfedge	ccw_rotated_halfedge (Halfedge h) const
	returns the halfedge that is rotated counter-clockwise around the start vertex of `h`. More...

Halfedge	cw_rotated_halfedge (Halfedge h) const
	returns the halfedge that is rotated clockwise around the start vertex of `h`. More...

Edge	edge (Halfedge h) const
	return the edge that contains halfedge `h` as one of its two halfedges. More...

bool	is_boundary (Halfedge h) const
	returns whether h is a boundary halfege, i.e., if its face does not exist.

Halfedge	halfedge (Edge e, unsigned int i) const
	returns the `i'th` halfedge of edge `e`. `i` has to be 0 or 1.

Vertex	vertex (Edge e, unsigned int i) const
	returns the `i'th` vertex of edge `e`. `i` has to be 0 or 1.

Face	face (Edge e, unsigned int i) const
	returns the face incident to the `i'th` halfedge of edge `e`. `i` has to be 0 or 1.

bool	is_boundary (Edge e) const
	returns whether `e` is a boundary edge, i.e., if one of its halfedges is a boundary halfedge. More...

Halfedge	halfedge (Face f) const
	returns a halfedge of face `f`

void	set_halfedge (Face f, Halfedge h)
	sets the halfedge of face `f` to `h`

bool	is_boundary (Face f) const
	returns whether `f` is a boundary face, i.e., it one of its edges is a boundary edge.

Property handling
template<class T >
ObjectProperty< T >	add_object_property (const std::string &name, const T t=T())
	add a object property of type `T` with name `name` and default value `t`. More...

template<class T >
ObjectProperty< T >	get_object_property (const std::string &name) const
	get the object property named `name` of type `T`. More...

template<class T >
ObjectProperty< T >	object_property (const std::string &name, const T t=T())
	if a object property of type `T` with name `name` exists, it is returned. More...

template<class T >
void	remove_object_property (ObjectProperty< T > &p)
	remove the object property `p`

const std::type_info &	get_object_propertyType (const std::string &name)
	get the type_info `T` of face property named `name`. More...

std::vector< std::string >	object_properties () const
	returns the names of all face properties

template<class T >
VertexProperty< T >	add_vertex_property (const std::string &name, const T t=T())
	add a vertex property of type `T` with name `name` and default value `t`. More...

template<class T >
VertexProperty< T >	get_vertex_property (const std::string &name) const
	get the vertex property named `name` of type `T`. More...

template<class T >
VertexProperty< T >	vertex_property (const std::string &name, const T t=T())
	if a vertex property of type `T` with name `name` exists, it is returned. More...

template<class T >
void	remove_vertex_property (VertexProperty< T > &p)
	remove the vertex property `p`

bool	has_vertex_property (const std::string &name) const
	does the mesh have a vertex property with name `name`?

template<class T >
HalfedgeProperty< T >	add_halfedge_property (const std::string &name, const T t=T())
	add a halfedge property of type `T` with name `name` and default value `t`. More...

template<class T >
EdgeProperty< T >	add_edge_property (const std::string &name, const T t=T())
	add a edge property of type `T` with name `name` and default value `t`. More...

template<class T >
HalfedgeProperty< T >	get_halfedge_property (const std::string &name) const
	get the halfedge property named `name` of type `T`. More...

template<class T >
EdgeProperty< T >	get_edge_property (const std::string &name) const
	get the edge property named `name` of type `T`. More...

template<class T >
HalfedgeProperty< T >	halfedge_property (const std::string &name, const T t=T())
	if a halfedge property of type `T` with name `name` exists, it is returned. More...

template<class T >
EdgeProperty< T >	edge_property (const std::string &name, const T t=T())
	if an edge property of type `T` with name `name` exists, it is returned. More...

template<class T >
void	remove_halfedge_property (HalfedgeProperty< T > &p)
	remove the halfedge property `p`

bool	has_halfedge_property (const std::string &name) const
	does the mesh have a halfedge property with name `name`?

template<class T >
void	remove_edge_property (EdgeProperty< T > &p)
	remove the edge property `p`

bool	has_edge_property (const std::string &name) const
	does the mesh have an edge property with name `name`?

const std::type_info &	get_halfedge_property_type (const std::string &name)
	get the type_info `T` of halfedge property named `name`. More...

const std::type_info &	get_vertex_property_type (const std::string &name)
	get the type_info `T` of vertex property named `name`. More...

const std::type_info &	get_edge_property_type (const std::string &name)
	get the type_info `T` of edge property named `name`. More...

std::vector< std::string >	vertex_properties () const
	returns the names of all vertex properties

std::vector< std::string >	halfedge_properties () const
	returns the names of all halfedge properties

std::vector< std::string >	edge_properties () const
	returns the names of all edge properties

template<class T >
FaceProperty< T >	add_face_property (const std::string &name, const T t=T())
	add a face property of type `T` with name `name` and default value `t`. More...

template<class T >
FaceProperty< T >	get_face_property (const std::string &name) const
	get the face property named `name` of type `T`. More...

template<class T >
FaceProperty< T >	face_property (const std::string &name, const T t=T())
	if a face property of type `T` with name `name` exists, it is returned. More...

template<class T >
void	remove_face_property (FaceProperty< T > &p)
	remove the face property `p`

bool	has_face_property (const std::string &name) const
	does the mesh have a face property with name `name`?

const std::type_info &	get_face_property_type (const std::string &name)
	get the type_info `T` of face property named `name` . More...

std::vector< std::string >	face_properties () const
	returns the names of all face properties

void	property_stats () const
	prints the names of all properties

Iterators and circulators
VertexIterator	vertices_begin () const
	returns start iterator for vertices

VertexIterator	vertices_end () const
	returns end iterator for vertices

VertexContainer	vertices () const
	returns vertex container for C++11 range-based for-loops

HalfedgeIterator	halfedges_begin () const
	returns start iterator for halfedges

HalfedgeIterator	halfedges_end () const
	returns end iterator for halfedges

HalfedgeContainer	halfedges () const
	returns halfedge container for C++11 range-based for-loops

EdgeIterator	edges_begin () const
	returns start iterator for edges

EdgeIterator	edges_end () const
	returns end iterator for edges

EdgeContainer	edges () const
	returns edge container for C++11 range-based for-loops

VertexAroundVertexCirculator	vertices (Vertex v) const
	returns circulator for vertices around vertex `v`

HalfedgeAroundVertexCirculator	halfedges (Vertex v) const
	returns circulator for outgoing halfedges around vertex `v`

FaceIterator	faces_begin () const
	returns start iterator for faces

FaceIterator	faces_end () const
	returns end iterator for faces

FaceContainer	faces () const
	returns face container for C++11 range-based for-loops

FaceAroundVertexCirculator	faces (Vertex v) const
	returns circulator for faces around vertex `v`

VertexAroundFaceCirculator	vertices (Face f) const
	returns circulator for vertices of face `f`

HalfedgeAroundFaceCirculator	halfedges (Face f) const
	returns circulator for halfedges of face `f`

Higher-level Topological Operations
Halfedge	insert_vertex (Edge e, const Point &p)
	Subdivide the edge `e` = (v0,v1) by splitting it into the two edge (v0,p) and (p,v1). More...

Halfedge	insert_vertex (Edge e, Vertex v)
	Subdivide the edge `e` = (v0,v1) by splitting it into the two edge (v0,v) and (v,v1). More...

Halfedge	insert_vertex (Halfedge h0, Vertex v)
	Subdivide the edge `e` = (v0,v1) by splitting it into the two edge (v0,v) and (v,v1). More...

Halfedge	find_halfedge (Vertex start, Vertex end) const
	find the halfedge from start to end

Edge	find_edge (Vertex a, Vertex b) const
	find the edge (a,b)

bool	is_triangle_mesh () const
	returns whether the mesh a triangle mesh. More...

bool	is_quad_mesh () const
	returns whether the mesh a quad mesh. More...

void	triangulate ()
	triangulate the entire mesh, by calling triangulate(Face) for each face. More...

void	triangulate (Face f)
	triangulate the face `f`. More...

bool	is_collapse_ok (Halfedge v0v1)
	returns whether collapsing the halfedge `v0v1` is topologically legal. More...

void	collapse (Halfedge h)
	Collapse the halfedge `h` by moving its start vertex into its target vertex. More...

bool	is_removal_ok (Edge e)
	returns whether removing the edge `e` is topologically legal.

bool	remove_edge (Edge e)
	Remove edge and merge its two incident faces into one. More...

Vertex	split (Face f, const Point &p)
	Split the face `f` by first adding point `p` to the mesh and then inserting edges between `p` and the vertices of `f`. More...

void	split (Face f, Vertex v)
	Split the face `f` by inserting edges between `v` and the vertices of `f`. More...

Halfedge	split (Edge e, const Point &p)
	Split the edge `e` by first adding point `p` to the mesh and then connecting it to the two vertices of the adjacent triangles that are opposite to edge `e`. More...

Halfedge	split (Edge e, Vertex v)
	Split the edge `e` by connecting vertex `v` it to the two vertices of the adjacent triangles that are opposite to edge `e`. More...

Halfedge	insert_edge (Halfedge h0, Halfedge h1)
	insert edge between the to-vertices v0 of h0 and v1 of h1. More...

bool	is_flip_ok (Edge e) const
	Check whether flipping edge `e` is topologically. More...

void	flip (Edge e)
	Flip the edge `e` . More...

size_t	valence (Vertex v) const
	returns the valence (number of incident edges or neighboring vertices) of vertex `v`. More...

size_t	valence (Face f) const
	returns the valence of face `f` (its number of vertices)

void	delete_vertex (Vertex v)
	deletes the vertex `v` from the mesh

void	delete_edge (Edge e)
	deletes the edge `e` from the mesh

void	delete_face (Face f)
	deletes the face `f` from the mesh

Geometry-related Functions
const Point &	position (Vertex v) const
	position of a vertex (read only)

Point &	position (Vertex v)
	position of a vertex

std::vector< Point > &	positions ()
	vector of point positions, re-implemented from `GeometryObject`

BoundingBox	bounds ()
	compute the bounding box of the object

Scalar	edge_length (Edge e) const
	compute the length of edge `e`.

Detailed Description

A halfedge data structure for polygonal meshes.

Constructor & Destructor Documentation

SurfaceMesh ( const SurfaceMesh & rhs )

inline

copy constructor: copies rhs to *this.

performs a deep copy of all properties.

Member Function Documentation

EdgeProperty<T> add_edge_property	(	const std::string &	name,
		const T	t = `T()`
	)

inline

add a edge property of type T with name name and default value t.

fails if a property named name exists already, since the name has to be unique. in this case it returns an invalid property.

Face add_face ( const std::vector< Vertex > & vertices )

add a new face with vertex list vertices

See also: add_triangle, add_quad

FaceProperty<T> add_face_property	(	const std::string &	name,
		const T	t = `T()`
	)

inline

add a face property of type T with name name and default value t.

fails if a property named name exists already, since the name has to be unique. in this case it returns an invalid property

HalfedgeProperty<T> add_halfedge_property	(	const std::string &	name,
		const T	t = `T()`
	)

inline

add a halfedge property of type T with name name and default value t.

fails if a property named name exists already, since the name has to be unique. in this case it returns an invalid property.

ObjectProperty<T> add_object_property	(	const std::string &	name,
		const T	t = `T()`
	)

inline

add a object property of type T with name name and default value t.

fails if a property named name exists already, since the name has to be unique. in this case it returns an invalid property

Face add_quad	(	Vertex	v0,
		Vertex	v1,
		Vertex	v2,
		Vertex	v3
	)

add a new quad connecting vertices v0, v1, v2, v3

See also: add_triangle, add_face

Face add_triangle	(	Vertex	v0,
		Vertex	v1,
		Vertex	v2
	)

add a new triangle connecting vertices v0, v1, v2

See also: add_face, add_quad

VertexProperty<T> add_vertex_property	(	const std::string &	name,
		const T	t = `T()`
	)

inline

add a vertex property of type T with name name and default value t.

fails if a property named name exists already, since the name has to be unique. in this case it returns an invalid property

Halfedge ccw_rotated_halfedge ( Halfedge h ) const

inline

returns the halfedge that is rotated counter-clockwise around the start vertex of h.

it is the opposite halfedge of the previous halfedge of h.

void collapse ( Halfedge h )

Collapse the halfedge h by moving its start vertex into its target vertex.

For non-boundary halfedges this function removes one vertex, three edges, and two faces. For boundary halfedges it removes one vertex, two edges and one face.

Attention: This function is only valid for triangle meshes.; Halfedge collapses might lead to invalid faces. Call is_collapse_ok(Halfedge) to be sure the collapse is legal.; The removed items are only marked as deleted. You have to call garbage_collection() to finally remove them.

Halfedge cw_rotated_halfedge ( Halfedge h ) const

inline

returns the halfedge that is rotated clockwise around the start vertex of h.

it is the next halfedge of the opposite halfedge of h.

Edge edge ( Halfedge h ) const

inline

return the edge that contains halfedge h as one of its two halfedges.

EdgeProperty<T> edge_property	(	const std::string &	name,
		const T	t = `T()`
	)

inline

if an edge property of type T with name name exists, it is returned.

otherwise this property is added (with default value t)

FaceProperty<T> face_property	(	const std::string &	name,
		const T	t = `T()`
	)

inline

if a face property of type T with name name exists, it is returned.

otherwise this property is added (with default value t)

void flip ( Edge e )

Flip the edge e .

Removes the edge e and add an edge between the two vertices opposite to edge e of the two incident triangles.

Attention: This function is only valid for triangle meshes.; Flipping an edge may result in a non-manifold mesh, hence check for yourself whether this operation is allowed or not!

See also: is_flip_ok()

EdgeProperty<T> get_edge_property ( const std::string & name ) const

inline

get the edge property named name of type T.

returns an invalid VertexProperty if the property does not exist or if the type does not match.

const std::type_info& get_edge_property_type ( const std::string & name )

inline

get the type_info T of edge property named name.

returns an typeid(void) if the property does not exist or if the type does not match.

FaceProperty<T> get_face_property ( const std::string & name ) const

inline

get the face property named name of type T.

returns an invalid VertexProperty if the property does not exist or if the type does not match.

const std::type_info& get_face_property_type ( const std::string & name )

inline

get the type_info T of face property named name .

returns an typeid(void) if the property does not exist or if the type does not match.

HalfedgeProperty<T> get_halfedge_property ( const std::string & name ) const

inline

get the halfedge property named name of type T.

returns an invalid VertexProperty if the property does not exist or if the type does not match.

const std::type_info& get_halfedge_property_type ( const std::string & name )

inline

get the type_info T of halfedge property named name.

returns an typeid(void) if the property does not exist or if the type does not match.

ObjectProperty<T> get_object_property ( const std::string & name ) const

inline

get the object property named name of type T.

returns an invalid ObjectProperty if the property does not exist or if the type does not match.

const std::type_info& get_object_propertyType ( const std::string & name )

inline

get the type_info T of face property named name.

returns an typeid(void) if the property does not exist or if the type does not match.

VertexProperty<T> get_vertex_property ( const std::string & name ) const

inline

get the vertex property named name of type T.

returns an invalid VertexProperty if the property does not exist or if the type does not match.

const std::type_info& get_vertex_property_type ( const std::string & name )

inline

get the type_info T of vertex property named name.

returns an typeid(void) if the property does not exist or if the type does not match.

Halfedge halfedge ( Vertex v ) const

inline

returns an outgoing halfedge of vertex v.

if v is a boundary vertex this will be a boundary halfedge.

HalfedgeProperty<T> halfedge_property	(	const std::string &	name,
		const T	t = `T()`
	)

inline

if a halfedge property of type T with name name exists, it is returned.

otherwise this property is added (with default value t)

Halfedge insert_edge	(	Halfedge	h0,
		Halfedge	h1
	)

insert edge between the to-vertices v0 of h0 and v1 of h1.

returns the new halfedge from v0 to v1.

Attention: h0 and h1 have to belong to the same face

Halfedge insert_vertex	(	Edge	e,
		const Point &	p
	)

inline

Subdivide the edge e = (v0,v1) by splitting it into the two edge (v0,p) and (p,v1).

Note that this function does not introduce any other edge or faces. It simply splits the edge. Returns halfedge that points to p.

See also: insert_vertex(Edge, Vertex); insert_vertex(Halfedge, Vertex)

Halfedge insert_vertex	(	Edge	e,
		Vertex	v
	)

inline

Subdivide the edge e = (v0,v1) by splitting it into the two edge (v0,v) and (v,v1).

Note that this function does not introduce any other edge or faces. It simply splits the edge. Returns halfedge that points to p.

See also: insert_vertex(Edge, Point); insert_vertex(Halfedge, Vertex)

Halfedge insert_vertex	(	Halfedge	h0,
		Vertex	v
	)

Subdivide the edge e = (v0,v1) by splitting it into the two edge (v0,v) and (v,v1).

Note that this function does not introduce any other edge or faces. It simply splits the edge. Returns halfedge that points to p.

See also: insert_vertex(Edge, Point); insert_vertex(Edge, Vertex)

bool is_boundary ( Edge e ) const

inline

returns whether e is a boundary edge, i.e., if one of its halfedges is a boundary halfedge.

bool is_collapse_ok ( Halfedge v0v1 )

returns whether collapsing the halfedge v0v1 is topologically legal.

Attention: This function is only valid for triangle meshes.

bool is_deleted ( Vertex v ) const

inline

returns whether vertex v is deleted

See also: garbage_collection()

bool is_deleted ( Halfedge h ) const

inline

returns whether halfedge h is deleted

See also: garbage_collection()

bool is_deleted ( Edge e ) const

inline

returns whether edge e is deleted

See also: garbage_collection()

bool is_deleted ( Face f ) const

inline

returns whether face f is deleted

See also: garbage_collection()

bool is_flip_ok ( Edge e ) const

Check whether flipping edge e is topologically.

Attention: This function is only valid for triangle meshes.

See also: flip(Edge)

bool is_quad_mesh ( ) const

returns whether the mesh a quad mesh.

this function simply tests each face, and therefore is not very efficient.

bool is_triangle_mesh ( ) const

returns whether the mesh a triangle mesh.

this function simply tests each face, and therefore is not very efficient.

See also: trianglate(), triangulate(Face)

bool is_valid ( Vertex v ) const

inline

return whether vertex v is valid, i.e.

the index is stores it within the array bounds.

bool is_valid ( Halfedge h ) const

inline

return whether halfedge h is valid, i.e.

the index is stores it within the array bounds.

ObjectProperty<T> object_property	(	const std::string &	name,
		const T	t = `T()`
	)

inline

if a object property of type T with name name exists, it is returned.

otherwise this property is added (with default value t)

bool read	(	const std::string &	filename,
		const IOFlags &	flags = `IOFlags()`
	)

Read mesh from file filename controlled by flags.

File extension determines file type. Supported formats and vertex attributes (a=ASCII, b=binary):

Format	ASCII	Binary	Normals	Colors	Texcoords
OFF	yes	yes	a / b	a	a / b
OBJ	yes	no	a	no	no
STL	yes	yes	no	no	no
PLY	yes	yes	no	no	no
PMP	no	yes	no	no	no
XYZ	yes	no	a	no	no
AGI	yes	no	a	a	no

In addition, the OBJ and PMP formats support reading per-halfedge texture coordinates.

bool remove_edge ( Edge e )

Remove edge and merge its two incident faces into one.

This operation requires that the edge has two incident faces and that these two are not equal.

Vertex split	(	Face	f,
		const Point &	p
	)

inline

Split the face f by first adding point p to the mesh and then inserting edges between p and the vertices of f.

For a triangle this is a standard one-to-three split.

See also: split(Face, Vertex)

void split	(	Face	f,
		Vertex	v
	)

Split the face f by inserting edges between v and the vertices of f.

For a triangle this is a standard one-to-three split.

See also: split(Face, const Point&)

Halfedge split	(	Edge	e,
		const Point &	p
	)

inline

Split the edge e by first adding point p to the mesh and then connecting it to the two vertices of the adjacent triangles that are opposite to edge e.

Returns the halfedge pointing to p that is created by splitting the existing edge e.

Attention: This function is only valid for triangle meshes.

See also: split(Edge, Vertex)

Halfedge split	(	Edge	e,
		Vertex	v
	)

Split the edge e by connecting vertex v it to the two vertices of the adjacent triangles that are opposite to edge e.

Returns the halfedge pointing to v that is created by splitting the existing edge e.

Attention: This function is only valid for triangle meshes.

See also: split(Edge, Point)

void triangulate ( )

triangulate the entire mesh, by calling triangulate(Face) for each face.

See also: triangulate(Face)

void triangulate ( Face f )

triangulate the face f.

See also: triangulate()

size_t valence ( Vertex v ) const

returns the valence (number of incident edges or neighboring vertices) of vertex v.

VertexProperty<T> vertex_property	(	const std::string &	name,
		const T	t = `T()`
	)

inline

if a vertex property of type T with name name exists, it is returned.

otherwise this property is added (with default value t)

bool write	(	const std::string &	filename,
		const IOFlags &	flags = `IOFlags()`
	)		const

Write mesh to file filename controlled by flags.

File extension determines file type. Supported formats and vertex attributes (a=ASCII, b=binary):

Format	ASCII	Binary	Normals	Colors	Texcoords
OFF	yes	yes	a	a	a
OBJ	yes	no	a	no	no
STL	yes	no	no	no	no
PLY	yes	yes	no	no	no
PMP	no	yes	no	no	no
XYZ	yes	no	a	no	no

In addition, the OBJ and PMP formats support writing per-halfedge texture coordinates.

Format	ASCII	Binary	Normals	Colors	Texcoords
OFF	yes	yes	a	a	a
OBJ	yes	no	a	no	no
STL	yes	no	no	no	no
PLY	yes	yes	no	no	no
PMP	no	yes	no	no	no
XYZ	yes	no	a	no	no

Format	ASCII	Binary	Normals	Colors	Texcoords
OFF	yes	yes	a	a	a
OBJ	yes	no	a	no	no
STL	yes	no	no	no	no
PLY	yes	yes	no	no	no
PMP	no	yes	no	no	no
XYZ	yes	no	a	no	no

Classes

Public Member Functions

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Format	ASCII	Binary	Normals	Colors	Texcoords
OFF	yes	yes	a	a	a
OBJ	yes	no	a	no	no
STL	yes	no	no	no	no
PLY	yes	yes	no	no	no
PMP	no	yes	no	no	no
XYZ	yes	no	a	no	no