Classes
class	EmptyCore

class	VertexRef
	The references to the vertexes of a triangular face. More...

class	NormalAbs

class	WedgeNormal

class	WedgeRealNormal

class	WedgeRealNormal3s

class	WedgeRealNormal3f

class	WedgeRealNormal3d

class	Normal3s

class	Normal3f

class	Normal3d

class	WedgeTexCoord

class	WedgeTexCoord2s

class	WedgeTexCoord2f

class	WedgeTexCoord2d

class	BitFlags
	Component: Per face Flags More...

class	Color

class	WedgeColor

class	WedgeColor4b

class	WedgeColor4f

class	Color4b

class	Quality

class	Qualitys

class	Qualityf

class	Qualityd

class	Quality3

class	Quality3s

class	Quality3f

class	Quality3d

class	Mark
	Per vertex Incremental Mark. More...

struct	CurvatureDirBaseType

class	CurvatureDir

class	CurvatureDirf

class	CurvatureDird

class	VFAdj
	Component: Per Face Vertex-Face adjacency relation More...

class	EFAdj

class	FFAdj
	Component: Per Face Face-Face adjacency relation More...

class	FEAdj

class	FHAdj

Functions
template<class FaceType >
bool	IsManifold (FaceType const &f, const int j)

template<class FaceType >
bool	IsBorder (FaceType const &f, const int j)

template<class FaceType >
FaceType::ScalarType	DihedralAngleRad (FaceType &f, const int i)
	Compute the signed dihedral angle between the normals of two adjacent faces. More...

template<class FaceType >
FaceType::ScalarType	WedgeAngleRad (FaceType &f, const int i)
	Return the internal angle (in radians) of the i-th wedge of the triangle.

template<class FaceType >
int	BorderCount (FaceType const &f)
	Count border edges of the face.

template<class FaceType >
int	ComplexSize (FaceType &f, const int e)
	Counts the number of incident faces in a complex edge.

template<class FaceType >
bool	FFCorrectness (FaceType &f, const int e)

template<class FaceType >
void	FFDetachManifold (FaceType &f, const int e)

template<class FaceType >
void	FFDetach (FaceType &f, const int e)

template<class FaceType >
void	FFAttach (FaceType f, int z1, FaceType f2, int z2)

template<class FaceType >
void	FFAttachManifold (FaceType f1, int z1, FaceType f2, int z2)

template<class FaceType >
void	FFSetBorder (FaceType *f1, int z1)

template<class FaceType >
void	AssertAdj (FaceType &f)

template<class FaceType >
bool	CheckOrientation (FaceType &f, int z)

template<class FaceType >
void	SwapEdge (FaceType &f, const int z)

template<class FaceType , bool UpdateTopology>
void	SwapEdge (FaceType &f, const int z)

template<class FaceType >
bool	FFLinkCondition (FaceType &f, const int z)

template<class MeshType >
void	FFEdgeCollapse (MeshType &m, typename MeshType::FaceType &f, const int z)

template<class FaceType >
bool	CheckFlipEdgeNormal (FaceType &f, const int z, const float angleRad)

template<class FaceType >
bool	CheckFlipEdge (FaceType &f, int z)

template<class FaceType >
bool	checkFlipEdgeNotManifold (FaceType &f, const int z)

template<class FaceType >
void	FlipEdge (FaceType &f, const int z)

template<class FaceType >
void	FlipEdgeNotManifold (FaceType &f, const int z)

template<class FaceType >
void	TriSplit (FaceType fToSplit, FaceType newf0, FaceType newf1, typename FaceType::VertexType newVert)

template<class FaceType >
void	VFDetach (FaceType &f)

template<class FaceType >
void	VFDetach (FaceType &f, int z)

template<class FaceType >
void	VFAppend (FaceType *f, int z)
	Append a face in VF list of vertex f->V(z)

template<class FaceType >
void	VVStarVF (typename FaceType::VertexType vp, std::vector< typename FaceType::VertexType > &starVec)
	Compute the set of vertices adjacent to a given vertex using VF adjacency. More...

template<class FaceType >
void	VVExtendedStarVF (typename FaceType::VertexType vp, const int num_step, std::vector< typename FaceType::VertexType > &vertVec)
	Compute the set of vertices adjacent to a given vertex using VF adjacency. More...

template<class FaceType >
void	VFStarVF (typename FaceType::VertexType vp, std::vector< FaceType > &faceVec, std::vector< int > &indexes)
	Compute the set of faces adjacent to a given vertex using VF adjacency. More...

template<class FaceType >
void	EFStarFF (FaceType fp, int ei, std::vector< FaceType > &faceVec, std::vector< int > &indVed)
	Compute the set of faces incident onto a given edge using FF adjacency. More...

template<class FaceType >
void	VFExtendedStarVF (typename FaceType::VertexType vp, const int num_step, std::vector< FaceType > &faceVec)
	Compute the set of faces adjacent to a given vertex using VF adjacency. More...

template<class FaceType >
void	VVOrderedStarFF (const Pos< FaceType > &startPos, std::vector< typename FaceType::VertexType * > &vertexVec)
	Compute the ordered set of vertices adjacent to a given vertex using FF adiacency. More...

template<class FaceType >
void	VVOrderedStarFF (const Pos< FaceType > &startPos, std::vector< typename FaceType::VertexType * > &vertexVec, const bool ccw)
	Compute the ordered set of vertices adjacent to a given vertex using FF adiacency. More...

template<class FaceType >
void	VFOrderedStarFF (const Pos< FaceType > &startPos, std::vector< Pos< FaceType > > &posVec)
	Compute the ordered set of faces adjacent to a given vertex using FF adiacency. More...

template<class FaceType >
void	VFOrderedStarFF (const Pos< FaceType > &startPos, std::vector< Pos< FaceType > > &posVec, const bool ccw)
	Compute the ordered set of faces adjacent to a given vertex using FF adiacency. More...

template<class FaceType >
void	VFOrderedStarFF (const Pos< FaceType > &startPos, std::vector< FaceType * > &faceVec, std::vector< int > &edgeVec)
	Compute the ordered set of faces adjacent to a given vertex using FF adiacency. More...

template<class FaceType >
bool	ShareEdgeFF (FaceType f0, FaceType f1, int i0=0, int i1=0)

template<class FaceType >
int	CountSharedVertex (FaceType f0, FaceType f1)

template<class FaceType >
bool	FindSharedVertex (FaceType f0, FaceType f1, int &i, int &j)

template<class FaceType >
bool	FindSharedEdge (FaceType f0, FaceType f1, int &i, int &j)

template<class FaceType >
bool	FindSharedFaces (typename FaceType::VertexType v0, typename FaceType::VertexType v1, FaceType &f0, FaceType &f1, int &e0, int &e1)

Detailed Description

Global algorithms and classes working on generic faces are defined in this namespace. Typical example are the topological surgery functions (like vcg::face::Detach and vcg::face::IsBorder) and the class vcg::face::Pos for defining positions over a mesh. Note that for sake of brevity the main face class is defined outside this namespace.

Function Documentation

◆ CheckFlipEdge()

template<class FaceType >

bool vcg::face::CheckFlipEdge	(	FaceType &	f,
		int	z
	)

Perform a Topological check to see if the z-th edge of the face f can be flipped. No Geometric test are done. (see CheckFlipEdgeNormal)

Parameters

f	pointer to the face
z	the edge index

◆ CheckFlipEdgeNormal()

template<class FaceType >

bool vcg::face::CheckFlipEdgeNormal	(	FaceType &	f,
		const int	z,
		const float	angleRad
	)

Perform a Geometric Check about the normals of a edge flip. return trues if after the flip the normals does not change more than the given threshold angle; it assumes that the flip is topologically correct.

Parameters

f	the face
z	the edge index
angleRad	the threshold angle

oldD1 ___________ newD1 |\ | | \ | | \ | | f z\ | | \ | |__________| newD0 oldD0

◆ CheckOrientation()

template<class FaceType >

bool vcg::face::CheckOrientation	(	FaceType &	f,
		int	z
	)

Check if the given face is oriented as the one adjacent to the specified edge.

Parameters

f	Face to check the orientation
z	Index of the edge

◆ CountSharedVertex()

template<class FaceType >

int vcg::face::CountSharedVertex	(	FaceType *	f0,
		FaceType *	f1
	)

Count the number of vertices shared between two faces.

Parameters

f0,f1 the two face to be checked ;

◆ DihedralAngleRad()

template<class FaceType >

FaceType::ScalarType vcg::face::DihedralAngleRad	(	FaceType &	f,
		const int	i
	)

inline

Compute the signed dihedral angle between the normals of two adjacent faces.

The angle between the normal is signed according to the concavity/convexity of the dihedral angle: negative if the edge shared between the two faces is concave, positive otherwise. The surface it is assumend to be oriented. It simply use the projection of the opposite vertex onto the plane of the other one. It does not assume anything on face normals.

v0 ___________ vf1 |\ | | \i1 f1 | | \ | |f0 i0\ | | \ | |__________| vf0 v1

◆ EFStarFF()

template<class FaceType >

void vcg::face::EFStarFF	(	FaceType *	fp,
		int	ei,
		std::vector< FaceType * > &	faceVec,
		std::vector< int > &	indVed
	)

Compute the set of faces incident onto a given edge using FF adjacency.

Parameters

fp	pointer to the face whose star has to be computed
ei	the index of the edge
faceVec	a std::vector of Face pointer that is filled with the faces incident on that edge.
indexes	a std::vector of integer of the edge position as it is seen from the faces

◆ FFAttach()

template<class FaceType >

void vcg::face::FFAttach	(	FaceType *	f,
		int	z1,
		FaceType *	f2,
		int	z2
	)

This function attach the face (via the edge z1) to another face (via the edge z2). It's possible to use it also in non-two manifold situation. The function cannot be applicated if the adjacencies among faces aren't define.

Parameters

z1	Index of the edge
f2	Pointer to the face
z2	The edge of the face f2

◆ FFAttachManifold()

template<class FaceType >

void vcg::face::FFAttachManifold	(	FaceType *	f1,
		int	z1,
		FaceType *	f2,
		int	z2
	)

This function attach the face (via the edge z1) to another face (via the edge z2). It is not possible to use it also in non-two manifold situation. The function cannot be applicated if the adjacencies among faces aren't define.

Parameters

z1	Index of the edge
f2	Pointer to the face
z2	The edge of the face f2

◆ FFCorrectness()

template<class FaceType >

bool vcg::face::FFCorrectness	(	FaceType &	f,
		const int	e
	)

This function check the FF topology correctness for an edge of a face. It's possible to use it also in non-two manifold situation. The function cannot be applicated if the adjacencies among faces aren't defined.

Parameters

f	the face to be checked
e	Index of the edge to be checked

◆ FFDetach()

template<class FaceType >

void vcg::face::FFDetach	(	FaceType &	f,
		const int	e
	)

This function detach the face from the adjacent face via the edge e. It's possible to use it also in non-two manifold situation. The function cannot be applicated if the adjacencies among faces aren't defined.

Parameters

f	the face to be detached
e	Index of the edge to be detached

◆ FFDetachManifold()

template<class FaceType >

void vcg::face::FFDetachManifold	(	FaceType &	f,
		const int	e
	)

This function detach the face from the adjacent face via the edge e. It's possible to use this function it ONLY in non-two manifold situation. The function cannot be applicated if the adjacencies among faces aren't defined.

Parameters

f	the face to be detached
e	Index of the edge to be detached

Note: it updates border flag and faux flags (the detached edge has it border bit flagged and faux bit cleared)

◆ FFEdgeCollapse()

template<class MeshType >

void vcg::face::FFEdgeCollapse	(	MeshType &	m,
		typename MeshType::FaceType &	f,
		const int	z
	)

Perform a simple edge collapse The edge z is collapsed and the vertex V(z) is collapsed onto the vertex V1(Z) vertex V(z) is deleted and vertex V1(z) survives. It assumes that the mesh is Manifold. Note that it preserves manifoldness only if FFLinkConditions are satisfied If the mesh is not manifold it will crash (there will be faces with deleted vertexes around) f12 surV ___________ |\ | | \ f1 | f01 | \ z1 | f11 | f0 z0\ | | \ | |__________| f02 delV

◆ FFLinkCondition()

template<class FaceType >

bool vcg::face::FFLinkCondition	(	FaceType &	f,
		const int	z
	)

Perform a simple edge collapse Basic link conditions

◆ FindSharedEdge()

template<class FaceType >

bool vcg::face::FindSharedEdge	(	FaceType *	f0,
		FaceType *	f1,
		int &	i,
		int &	j
	)

find the first shared edge between two faces.

Parameters

f0,f1	the two face to be checked
i,j	the indexes of the shared edge in the two faces. Meaningful only if there is a shared edge

◆ FindSharedFaces()

template<class FaceType >

bool vcg::face::FindSharedFaces	(	typename FaceType::VertexType *	v0,
		typename FaceType::VertexType *	v1,
		FaceType *&	f0,
		FaceType *&	f1,
		int &	e0,
		int &	e1
	)

find the faces that shares the two vertices

Parameters

v0,v1	the two vertices
f0,f1	the two faces , counterclokwise order

then find the intersection

no pair of faces share the 2 vertices

and finally check if the order is right

◆ FindSharedVertex()

template<class FaceType >

bool vcg::face::FindSharedVertex	(	FaceType *	f0,
		FaceType *	f1,
		int &	i,
		int &	j
	)

find the first shared vertex between two faces.

Parameters

f0,f1	the two face to be checked
i,j	the indexes of the shared vertex in the two faces. Meaningful only if there is one single shared vertex ;

◆ FlipEdge()

template<class FaceType >

void vcg::face::FlipEdge	(	FaceType &	f,
		const int	z
	)

Flip the z-th edge of the face f. Check for topological correctness first using CheckFlipEdge().

Parameters

f	pointer to the face
z	the edge index

Note: For edge flip we intend the swap of the diagonal of the quadrilater formed by the face f and the face adjacent to the specified edge.

0__________ 2 0__________2 -> 1|\ | | /|1 | \ g | | g / | | \ | |w / | | f z\w | | / f z| | \ | | / | |__________|1 <- 1|/__________| 2 0 2 0

Note that, after an operation FlipEdge(f,z) to topologically revert it should be sufficient to do FlipEdge(f,z+1) (even if the mesh is actually different: f and g will be swapped)

◆ FlipEdgeNotManifold()

template<class FaceType >

void vcg::face::FlipEdgeNotManifold	(	FaceType &	f,
		const int	z
	)

Flip the z-th edge of the face f. Check for topological correctness first using CheckFlipEdge().

Parameters

f	pointer to the face
z	the edge index

Note: For edge flip we intend the swap of the diagonal of the quadrilater formed by the face f and the face adjacent to the specified edge.

0__________ 2 0__________2 -> 1|\ | | /|1 | \ g | | g / | | \ | |w / | | f z\w | | / f z| | \ | | / | |__________|1 <- 1|/__________| 2 0 2 0

Note that, after an operation FlipEdge(f,z) to topologically revert it should be sufficient to do FlipEdge(f,z+1) (even if the mesh is actually different: f and g will be swapped)

◆ IsBorder()

template<class FaceType >

bool vcg::face::IsBorder	(	FaceType const &	f,
		const int	j
	)

inline

Return a boolean that indicate if the j-th edge of the face is a border.

Parameters

j	Index of the edge

Returns: true if j is an edge of border, false otherwise

◆ IsManifold()

template<class FaceType >

bool vcg::face::IsManifold	(	FaceType const &	f,
		const int	j
	)

inline

Return a boolean that indicate if the face is complex.

Parameters

j	Index of the edge

Returns: true se la faccia e' manifold, false altrimenti

◆ ShareEdgeFF()

template<class FaceType >

bool vcg::face::ShareEdgeFF	(	FaceType *	f0,
		FaceType *	f1,
		int *	i0 = `0`,
		int *	i1 = `0`
	)

Check if two faces share and edge through the FF topology.

Parameters

f0,f1	the two face to be checked
i0,i1	the index of the shared edge;

◆ SwapEdge()

template<class FaceType >

void vcg::face::SwapEdge	(	FaceType &	f,
		const int	z
	)

This function change the orientation of the face by inverting the index of two vertex.

Parameters

z	Index of the edge

◆ VFExtendedStarVF()

template<class FaceType >

void vcg::face::VFExtendedStarVF	(	typename FaceType::VertexType *	vp,
		const int	num_step,
		std::vector< FaceType * > &	faceVec
	)

Compute the set of faces adjacent to a given vertex using VF adjacency.

The set is faces is extended of a given number of step

Parameters

vp	pointer to the vertex whose star has to be computed.
num_step	the number of step to extend the star
faceVec	a std::vector of Face pointer that is filled with the adjacent faces.

initialize front

then dilate front for each step

◆ VFOrderedStarFF() [1/3]

template<class FaceType >

void vcg::face::VFOrderedStarFF	(	const Pos< FaceType > &	startPos,
		std::vector< FaceType * > &	faceVec,
		std::vector< int > &	edgeVec
	)

Compute the ordered set of faces adjacent to a given vertex using FF adiacency.

Parameters

startPos	a Pos<FaceType> indicating the vertex whose star has to be computed.
faceVec	a std::vector of Face pointer that is filled with the adjacent faces.
edgeVec	a std::vector of indexes filled with the indexes of the corresponding edges shared between the faces.

◆ VFOrderedStarFF() [2/3]

template<class FaceType >

void vcg::face::VFOrderedStarFF	(	const Pos< FaceType > &	startPos,
		std::vector< Pos< FaceType > > &	posVec
	)

Compute the ordered set of faces adjacent to a given vertex using FF adiacency.

Parameters

startPos	a Pos<FaceType> indicating the vertex whose star has to be computed.
posVec	a std::vector of Pos filled with Pos arranged around the passed vertex.

◆ VFOrderedStarFF() [3/3]

template<class FaceType >

void vcg::face::VFOrderedStarFF	(	const Pos< FaceType > &	startPos,
		std::vector< Pos< FaceType > > &	posVec,
		const bool	ccw
	)

Compute the ordered set of faces adjacent to a given vertex using FF adiacency.

Parameters

startPos	a Pos<FaceType> indicating the vertex whose star has to be computed.
posVec	a std::vector of Pos filled with Pos arranged around the passed vertex.
ccw	if true returns the posVec in countercounterclockwise order; if false in clockwise order.

◆ VFStarVF()

template<class FaceType >

void vcg::face::VFStarVF	(	typename FaceType::VertexType *	vp,
		std::vector< FaceType * > &	faceVec,
		std::vector< int > &	indexes
	)

Compute the set of faces adjacent to a given vertex using VF adjacency.

Parameters

vp	pointer to the vertex whose star has to be computed.
faceVec	a std::vector of Face pointer that is filled with the adjacent faces.
indexes	a std::vector of integer of the vertex as it is seen from the faces

◆ VVExtendedStarVF()

template<class FaceType >

void vcg::face::VVExtendedStarVF	(	typename FaceType::VertexType *	vp,
		const int	num_step,
		std::vector< typename FaceType::VertexType * > &	vertVec
	)

Compute the set of vertices adjacent to a given vertex using VF adjacency.

The set is faces is extended of a given number of step

Parameters

vp	pointer to the vertex whose star has to be computed.
num_step	the number of step to extend the star
vertVec	a std::vector of Ve pointer that is filled with the adjacent faces.

initialize front

then dilate front for each step

◆ VVOrderedStarFF() [1/2]

template<class FaceType >

void vcg::face::VVOrderedStarFF	(	const Pos< FaceType > &	startPos,
		std::vector< typename FaceType::VertexType * > &	vertexVec
	)

Compute the ordered set of vertices adjacent to a given vertex using FF adiacency.

Parameters

startPos	a Pos<FaceType> indicating the vertex whose star has to be computed.
vertexVec	a std::vector of VertexPtr filled vertices around the given vertex.

◆ VVOrderedStarFF() [2/2]

template<class FaceType >

void vcg::face::VVOrderedStarFF	(	const Pos< FaceType > &	startPos,
		std::vector< typename FaceType::VertexType * > &	vertexVec,
		const bool	ccw
	)

Compute the ordered set of vertices adjacent to a given vertex using FF adiacency.

Parameters

startPos	a Pos<FaceType> indicating the vertex whose star has to be computed.
vertexVec	a std::vector of VertexPtr filled vertices around the given vertex.
ccw	if true returns the vertexVec in countercounterclockwise order; if false in clockwise order.

◆ VVStarVF()

template<class FaceType >

void vcg::face::VVStarVF	(	typename FaceType::VertexType *	vp,
		std::vector< typename FaceType::VertexType * > &	starVec
	)

Compute the set of vertices adjacent to a given vertex using VF adjacency.

Parameters

vp	pointer to the vertex whose star has to be computed.
starVec	a std::vector of Vertex pointer that is filled with the adjacent vertices.

	VCG Library

Classes

Functions

Detailed Description

Function Documentation

◆ CheckFlipEdge()

◆ CheckFlipEdgeNormal()

◆ CheckOrientation()

◆ CountSharedVertex()

◆ DihedralAngleRad()

◆ EFStarFF()

◆ FFAttach()

◆ FFAttachManifold()

◆ FFCorrectness()

◆ FFDetach()

◆ FFDetachManifold()

◆ FFEdgeCollapse()

◆ FFLinkCondition()

◆ FindSharedEdge()

◆ FindSharedFaces()

◆ FindSharedVertex()

◆ FlipEdge()

◆ FlipEdgeNotManifold()

◆ IsBorder()

◆ IsManifold()

◆ ShareEdgeFF()

◆ SwapEdge()

◆ VFExtendedStarVF()

◆ VFOrderedStarFF() [1/3]

◆ VFOrderedStarFF() [2/3]

◆ VFOrderedStarFF() [3/3]

◆ VFStarVF()

◆ VVExtendedStarVF()

◆ VVOrderedStarFF() [1/2]

◆ VVOrderedStarFF() [2/2]

◆ VVStarVF()