#include <tangent_field_operators.h>

Static Public Member Functions
static void	AdjustDirectionsOnTangentspace (MeshType &mesh)
static void	AnglesToCrossField (FaceType &f, const ScalarType &alpha1, const ScalarType &alpha2, int RefEdge=1)
	transform a cross field into a couple of angles
static void	CrossFieldToAngles (const FaceType &f, ScalarType &alpha1, ScalarType &alpha2, int RefEdge=1)
	transform a cross field into a couple of angles
static vcg::Point2< ScalarType >	CrossToUV (FaceType &f, int numD=0)
	transform curvature to UV space
static void	CrossVector (const CoordType &dir0, const CoordType &norm, CoordType axis[4])
static void	CrossVector (const FaceType &f, CoordType axis[4])
static void	CrossVector (const VertexType &v, CoordType axis[4])
static CoordType	CrossVector (const FaceType &f, const int &index)
static CoordType	CrossVector (const VertexType &v, const int &index)
static FaceType::ScalarType	DifferenceCrossField (const typename FaceType::CoordType &t0, const typename FaceType::CoordType &t1, const typename FaceType::CoordType &n)
	return the difference of two cross field, values between [0,0.5]
static FaceType::ScalarType	DifferenceCrossField (const typename vcg::Point2< ScalarType > &t0, const typename vcg::Point2< ScalarType > &t1)
	return the difference of two cross field, values between [0,0.5]
static size_t	FindSeparatrices (const typename vcg::face::Pos< FaceType > &vPos, std::vector< CoordType > &directions, std::vector< FaceType * > &faces, std::vector< TriangleType > &WrongTris, int expVal=-1, int numSub=3)
static CoordType	FollowDirection (const FaceType &f0, const FaceType &f1, const CoordType &dir0)
static int	FollowDirection (const FaceType &f0, const FaceType &f1, int dir0)
static int	FollowDirectionI (const FaceType &f0, const FaceType &f1, const CoordType &dir0)
static int	FollowLineDirection (const FaceType &f0, const FaceType &f1, int dir)
static void	GradientToCross (const FaceType &f, const vcg::Point2< ScalarType > &UV0, const vcg::Point2< ScalarType > &UV1, const vcg::Point2< ScalarType > &UV2, CoordType &dirU, CoordType &dirV)
static int	I_K_PI (const CoordType &a, const CoordType &b, const CoordType &n)
	a and b should be in the same plane orthogonal to N
static void	InitDirFromWEdgeUV (MeshType &mesh)
static CoordType	InterpolateCrossField (const CoordType &t0, const CoordType &t1, const CoordType &t2, const CoordType &n0, const CoordType &n1, const CoordType &n2, const CoordType &target_n, const CoordType &bary)
	interpolate cross field with barycentric coordinates
static CoordType	InterpolateCrossField (const std::vector< CoordType > &TangVect, const std::vector< ScalarType > &Weight, const std::vector< CoordType > &Norms, const CoordType &BaseNorm)
	interpolate cross field with barycentric coordinates using normalized weights
static FaceType::CoordType	InterpolateCrossFieldLine (const typename FaceType::CoordType &t0, const typename FaceType::CoordType &t1, const typename FaceType::CoordType &n0, const typename FaceType::CoordType &n1, const typename FaceType::CoordType &target_n, const typename FaceType::ScalarType &weight)
	interpolate cross field with scalar weight
static bool	IsSingularByCross (const VertexType &v, int &missmatch)
static CoordType	K_PI (const CoordType &a, const CoordType &b, const CoordType &n)
	a and b should be in the same plane orthogonal to N
static void	MakeDirectionFaceCoherent (FaceType f0, FaceType f1)
static void	MakeDirectionFaceCoherent (MeshType &mesh, bool normal_diff=true)
static int	MissMatchByCross (const CoordType &dir0, const CoordType &dir1, const CoordType &N0, const CoordType &N1)
static int	MissMatchByCross (const FaceType &f0, const FaceType &f1)
	compute the mismatch between 2 faces
static void	OrientDirectionFaceCoherently (MeshType &mesh)
static CoordType	Rotate (const FaceType &f0, const FaceType &f1, const CoordType &dir3D)
static void	SetCrossVector (FaceType &f, CoordType dir0, CoordType dir1)
	set the cross field of a given face
static void	SetFaceCrossVectorFromVert (FaceType &f)
	set the face cross vector from vertex one
static void	SetFaceCrossVectorFromVert (MeshType &mesh)
static void	SetVertCrossVectorFromFace (VertexType &v)
	set the face cross vector from vertex one
static void	SetVertCrossVectorFromFace (MeshType &mesh)
static CoordType	TangentAngleToVect (const FaceType &f, const ScalarType &angle)
static ScalarType	TangentVectToAngle (const CoordType dirX, const CoordType dirZ, const CoordType &vect3D)
static vcg::Matrix33< ScalarType >	TransformationMatrix (const FaceType &f)
static void	UpdateSingularByCross (MeshType &mesh)
	select singular vertices
static ScalarType	VectToAngle (const FaceType &f, const CoordType &vect3D)
	find an angle with respect to the tangent frame of given face
Private Types
typedef MeshType::CoordType	CoordType
typedef MeshType::FaceType	FaceType
typedef vcg::face::Pos< FaceType >	PosType
typedef MeshType::ScalarType	ScalarType
typedef vcg::Triangle3 < ScalarType >	TriangleType
typedef MeshType::VertexType	VertexType
Static Private Member Functions
static void	FindSubDir (vcg::Triangle3< ScalarType > T3, size_t Nvert, std::vector< CoordType > &SubDEdges, int Nsub)
static void	FindSubTriangles (const typename vcg::face::Pos< FaceType > &vPos, std::vector< TriangleType > &SubFaces, std::vector< FaceType * > &OriginalFace, int numSub=3)
static void	InterpolateCrossSubTriangles (const std::vector< TriangleType > &SubFaces, const std::vector< FaceType * > &OriginalFace, std::vector< CoordType > &Dir, std::vector< CoordType > &NormSubF)
static void	InterpolateDir (const CoordType &Dir0, const CoordType &Dir1, const CoordType &Sep0, const CoordType &Sep1, const TriangleType &t0, const TriangleType &t1, CoordType &Interpolated, size_t &Face)
static void	ReduceOneDirectionField (std::vector< CoordType > &directions, std::vector< FaceType * > &faces)
static ScalarType	Sign (ScalarType a)
static void	SubDivideDir (const CoordType &Edge0, const CoordType &Edge1, std::vector< CoordType > &SubDEdges, int Nsub)
static void	SubdivideTris (vcg::Triangle3< ScalarType > T3, size_t Nvert, std::vector< vcg::Triangle3< ScalarType > > &SubTris, int Nsub)
static ScalarType	turn (const CoordType &norm, const CoordType &d0, const CoordType &d1)

Detailed Description

template<class MeshType>
class vcg::tri::CrossField< MeshType >

Definition at line 140 of file tangent_field_operators.h.

Member Typedef Documentation

template<class MeshType>

typedef MeshType::CoordType vcg::tri::CrossField< MeshType >::CoordType [private]

Definition at line 144 of file tangent_field_operators.h.

template<class MeshType>

typedef MeshType::FaceType vcg::tri::CrossField< MeshType >::FaceType [private]

Definition at line 142 of file tangent_field_operators.h.

template<class MeshType>

typedef vcg::face::Pos<FaceType> vcg::tri::CrossField< MeshType >::PosType [private]

Definition at line 146 of file tangent_field_operators.h.

template<class MeshType>

typedef MeshType::ScalarType vcg::tri::CrossField< MeshType >::ScalarType [private]

Definition at line 145 of file tangent_field_operators.h.

template<class MeshType>

typedef vcg::Triangle3<ScalarType> vcg::tri::CrossField< MeshType >::TriangleType [private]

Definition at line 147 of file tangent_field_operators.h.

template<class MeshType>

typedef MeshType::VertexType vcg::tri::CrossField< MeshType >::VertexType [private]

Definition at line 143 of file tangent_field_operators.h.

Member Function Documentation

template<class MeshType>

static void vcg::tri::CrossField< MeshType >::AdjustDirectionsOnTangentspace ( MeshType & mesh ) [inline, static]

Definition at line 1340 of file tangent_field_operators.h.

template<class MeshType>

static void vcg::tri::CrossField< MeshType >::AnglesToCrossField	(	FaceType &	f,
		const ScalarType &	alpha1,
		const ScalarType &	alpha2,
		int	RefEdge = `1`
	)		`[inline, static]`

transform a cross field into a couple of angles

Definition at line 838 of file tangent_field_operators.h.

template<class MeshType>

static void vcg::tri::CrossField< MeshType >::CrossFieldToAngles	(	const FaceType &	f,
		ScalarType &	alpha1,
		ScalarType &	alpha2,
		int	RefEdge = `1`
	)		`[inline, static]`

transform a cross field into a couple of angles

Definition at line 813 of file tangent_field_operators.h.

template<class MeshType>

static vcg::Point2<ScalarType> vcg::tri::CrossField< MeshType >::CrossToUV	(	FaceType &	f,
		int	numD = `0`
	)		`[inline, static]`

transform curvature to UV space

Definition at line 1444 of file tangent_field_operators.h.

template<class MeshType>

static void vcg::tri::CrossField< MeshType >::CrossVector	(	const CoordType &	dir0,
		const CoordType &	norm,
		CoordType	axis[4]
	)		`[inline, static]`

return the 4 directiona of the cross field in 3D given a first direction as input

Definition at line 863 of file tangent_field_operators.h.

template<class MeshType>

static void vcg::tri::CrossField< MeshType >::CrossVector	(	const FaceType &	f,
		CoordType	axis[4]
	)		`[inline, static]`

return the 4 direction in 3D of the cross field of a given face

Definition at line 875 of file tangent_field_operators.h.

template<class MeshType>

static void vcg::tri::CrossField< MeshType >::CrossVector	(	const VertexType &	v,
		CoordType	axis[4]
	)		`[inline, static]`

return the 4 direction in 3D of the cross field of a given face

Definition at line 888 of file tangent_field_operators.h.

template<class MeshType>

static CoordType vcg::tri::CrossField< MeshType >::CrossVector	(	const FaceType &	f,
		const int &	index
	)		`[inline, static]`

return a specific direction given an integer 0..3 considering the reference direction of the cross field

Definition at line 901 of file tangent_field_operators.h.

template<class MeshType>

static CoordType vcg::tri::CrossField< MeshType >::CrossVector	(	const VertexType &	v,
		const int &	index
	)		`[inline, static]`

return a specific direction given an integer 0..3 considering the reference direction of the cross field

Definition at line 912 of file tangent_field_operators.h.

template<class MeshType>

static FaceType::ScalarType vcg::tri::CrossField< MeshType >::DifferenceCrossField	(	const typename FaceType::CoordType &	t0,
		const typename FaceType::CoordType &	t1,
		const typename FaceType::CoordType &	n
	)		`[inline, static]`

return the difference of two cross field, values between [0,0.5]

Definition at line 1121 of file tangent_field_operators.h.

template<class MeshType>

static FaceType::ScalarType vcg::tri::CrossField< MeshType >::DifferenceCrossField	(	const typename vcg::Point2< ScalarType > &	t0,
		const typename vcg::Point2< ScalarType > &	t1
	)		`[inline, static]`

return the difference of two cross field, values between [0,0.5]

Definition at line 1132 of file tangent_field_operators.h.

template<class MeshType>

static size_t vcg::tri::CrossField< MeshType >::FindSeparatrices	(	const typename vcg::face::Pos< FaceType > &	vPos,
		std::vector< CoordType > &	directions,
		std::vector< FaceType * > &	faces,
		std::vector< TriangleType > &	WrongTris,
		int	expVal = `-1`,
		int	numSub = `3`
	)		`[inline, static]`

Definition at line 519 of file tangent_field_operators.h.

template<class MeshType>

static void vcg::tri::CrossField< MeshType >::FindSubDir	(	vcg::Triangle3< ScalarType >	T3,
		size_t	Nvert,
		std::vector< CoordType > &	SubDEdges,
		int	Nsub
	)		`[inline, static, private]`

Definition at line 216 of file tangent_field_operators.h.

template<class MeshType>

static void vcg::tri::CrossField< MeshType >::FindSubTriangles	(	const typename vcg::face::Pos< FaceType > &	vPos,
		std::vector< TriangleType > &	SubFaces,
		std::vector< FaceType * > &	OriginalFace,
		int	numSub = `3`
	)		`[inline, static, private]`

Definition at line 249 of file tangent_field_operators.h.

template<class MeshType>

static CoordType vcg::tri::CrossField< MeshType >::FollowDirection	(	const FaceType &	f0,
		const FaceType &	f1,
		const CoordType &	dir0
	)		`[inline, static]`

first it rotate dir to match with f1

then get the closest upf to K*PI/2 rotations

Definition at line 654 of file tangent_field_operators.h.

template<class MeshType>

static int vcg::tri::CrossField< MeshType >::FollowDirection	(	const FaceType &	f0,
		const FaceType &	f1,
		int	dir0
	)		`[inline, static]`

first it rotate dir to match with f1

then get the closest upf to K*PI/2 rotations

Definition at line 690 of file tangent_field_operators.h.

template<class MeshType>

static int vcg::tri::CrossField< MeshType >::FollowDirectionI	(	const FaceType &	f0,
		const FaceType &	f1,
		const CoordType &	dir0
	)		`[inline, static]`

first it rotate dir to match with f1

Definition at line 666 of file tangent_field_operators.h.

template<class MeshType>

static int vcg::tri::CrossField< MeshType >::FollowLineDirection	(	const FaceType &	f0,
		const FaceType &	f1,
		int	dir
	)		`[inline, static]`

first it rotate dir to match with f1

then get the closest upf to K*PI/2 rotations

Definition at line 718 of file tangent_field_operators.h.

template<class MeshType>

static void vcg::tri::CrossField< MeshType >::GradientToCross	(	const FaceType &	f,
		const vcg::Point2< ScalarType > &	UV0,
		const vcg::Point2< ScalarType > &	UV1,
		const vcg::Point2< ScalarType > &	UV2,
		CoordType &	dirU,
		CoordType &	dirV
	)		`[inline, static]`

Definition at line 1257 of file tangent_field_operators.h.

template<class MeshType>

static int vcg::tri::CrossField< MeshType >::I_K_PI	(	const CoordType &	a,
		const CoordType &	b,
		const CoordType &	n
	)		`[inline, static]`

a and b should be in the same plane orthogonal to N

0 or 2

1 or 3

Definition at line 1047 of file tangent_field_operators.h.

template<class MeshType>

static void vcg::tri::CrossField< MeshType >::InitDirFromWEdgeUV ( MeshType & mesh ) [inline, static]

Definition at line 1467 of file tangent_field_operators.h.

template<class MeshType>

static CoordType vcg::tri::CrossField< MeshType >::InterpolateCrossField	(	const CoordType &	t0,
		const CoordType &	t1,
		const CoordType &	t2,
		const CoordType &	n0,
		const CoordType &	n1,
		const CoordType &	n2,
		const CoordType &	target_n,
		const CoordType &	bary
	)		`[inline, static]`

interpolate cross field with barycentric coordinates

Definition at line 1064 of file tangent_field_operators.h.

template<class MeshType>

static CoordType vcg::tri::CrossField< MeshType >::InterpolateCrossField	(	const std::vector< CoordType > &	TangVect,
		const std::vector< ScalarType > &	Weight,
		const std::vector< CoordType > &	Norms,
		const CoordType &	BaseNorm
	)		`[inline, static]`

interpolate cross field with barycentric coordinates using normalized weights

Definition at line 1090 of file tangent_field_operators.h.

template<class MeshType>

static FaceType::CoordType vcg::tri::CrossField< MeshType >::InterpolateCrossFieldLine	(	const typename FaceType::CoordType &	t0,
		const typename FaceType::CoordType &	t1,
		const typename FaceType::CoordType &	n0,
		const typename FaceType::CoordType &	n1,
		const typename FaceType::CoordType &	target_n,
		const typename FaceType::ScalarType &	weight
	)		`[inline, static]`

interpolate cross field with scalar weight

Definition at line 1101 of file tangent_field_operators.h.

template<class MeshType>

static void vcg::tri::CrossField< MeshType >::InterpolateCrossSubTriangles	(	const std::vector< TriangleType > &	SubFaces,
		const std::vector< FaceType * > &	OriginalFace,
		std::vector< CoordType > &	Dir,
		std::vector< CoordType > &	NormSubF
	)		`[inline, static, private]`

Definition at line 289 of file tangent_field_operators.h.

template<class MeshType>

static void vcg::tri::CrossField< MeshType >::InterpolateDir	(	const CoordType &	Dir0,
		const CoordType &	Dir1,
		const CoordType &	Sep0,
		const CoordType &	Sep1,
		const TriangleType &	t0,
		const TriangleType &	t1,
		CoordType &	Interpolated,
		size_t &	Face
	)		`[inline, static, private]`

Definition at line 385 of file tangent_field_operators.h.

template<class MeshType>

static bool vcg::tri::CrossField< MeshType >::IsSingularByCross	(	const VertexType &	v,
		int &	missmatch
	)		`[inline, static]`

return true if a given vertex is singular, return also the missmatch

check that is on border..

Definition at line 1194 of file tangent_field_operators.h.

template<class MeshType>

static CoordType vcg::tri::CrossField< MeshType >::K_PI	(	const CoordType &	a,
		const CoordType &	b,
		const CoordType &	n
	)		`[inline, static]`

a and b should be in the same plane orthogonal to N

POSSIBLE SOURCE OF BUG CHECK CROSS PRODUCT

Definition at line 1037 of file tangent_field_operators.h.

template<class MeshType>

static void vcg::tri::CrossField< MeshType >::MakeDirectionFaceCoherent	(	FaceType *	f0,
		FaceType *	f1
	)		`[inline, static]`

Definition at line 1324 of file tangent_field_operators.h.

template<class MeshType>

static void vcg::tri::CrossField< MeshType >::MakeDirectionFaceCoherent	(	MeshType &	mesh,
		bool	normal_diff = `true`
	)		`[inline, static]`

all faces has been visited

Definition at line 1369 of file tangent_field_operators.h.

template<class MeshType>

static int vcg::tri::CrossField< MeshType >::MissMatchByCross	(	const CoordType &	dir0,
		const CoordType &	dir1,
		const CoordType &	N0,
		const CoordType &	N1
	)		`[inline, static]`

compute the mismatch between 2 directions each one si perpendicular to its own normal

Definition at line 1146 of file tangent_field_operators.h.

template<class MeshType>

static int vcg::tri::CrossField< MeshType >::MissMatchByCross	(	const FaceType &	f0,
		const FaceType &	f1
	)		`[inline, static]`

compute the mismatch between 2 faces

Definition at line 1170 of file tangent_field_operators.h.

template<class MeshType>

static void vcg::tri::CrossField< MeshType >::OrientDirectionFaceCoherently ( MeshType & mesh ) [inline, static]

Definition at line 1358 of file tangent_field_operators.h.

template<class MeshType>

static void vcg::tri::CrossField< MeshType >::ReduceOneDirectionField	(	std::vector< CoordType > &	directions,
		std::vector< FaceType * > &	faces
	)		`[inline, static, private]`

Definition at line 470 of file tangent_field_operators.h.

template<class MeshType>

static CoordType vcg::tri::CrossField< MeshType >::Rotate	(	const FaceType &	f0,
		const FaceType &	f1,
		const CoordType &	dir3D
	)		`[inline, static]`

rotate a given vector from the tangent space of f0 to the tangent space of f1 by considering the difference of normals

find the rotation matrix that maps between normals

Definition at line 1024 of file tangent_field_operators.h.

template<class MeshType>

static void vcg::tri::CrossField< MeshType >::SetCrossVector	(	FaceType &	f,
		CoordType	dir0,
		CoordType	dir1
	)		`[inline, static]`

set the cross field of a given face

Definition at line 922 of file tangent_field_operators.h.

template<class MeshType>

static void vcg::tri::CrossField< MeshType >::SetFaceCrossVectorFromVert ( FaceType & f ) [inline, static]

set the face cross vector from vertex one

Definition at line 931 of file tangent_field_operators.h.

template<class MeshType>

static void vcg::tri::CrossField< MeshType >::SetFaceCrossVectorFromVert ( MeshType & mesh ) [inline, static]

Definition at line 972 of file tangent_field_operators.h.

template<class MeshType>

static void vcg::tri::CrossField< MeshType >::SetVertCrossVectorFromFace ( VertexType & v ) [inline, static]

set the face cross vector from vertex one

find the rotation matrix that maps between normals

Definition at line 983 of file tangent_field_operators.h.

template<class MeshType>

static void vcg::tri::CrossField< MeshType >::SetVertCrossVectorFromFace ( MeshType & mesh ) [inline, static]

Definition at line 1012 of file tangent_field_operators.h.

template<class MeshType>

static ScalarType vcg::tri::CrossField< MeshType >::Sign ( ScalarType a ) [inline, static, private]

Definition at line 247 of file tangent_field_operators.h.

template<class MeshType>

static void vcg::tri::CrossField< MeshType >::SubDivideDir	(	const CoordType &	Edge0,
		const CoordType &	Edge1,
		std::vector< CoordType > &	SubDEdges,
		int	Nsub
	)		`[inline, static, private]`

Definition at line 151 of file tangent_field_operators.h.

template<class MeshType>

static void vcg::tri::CrossField< MeshType >::SubdivideTris	(	vcg::Triangle3< ScalarType >	T3,
		size_t	Nvert,
		std::vector< vcg::Triangle3< ScalarType > > &	SubTris,
		int	Nsub
	)		`[inline, static, private]`

Definition at line 231 of file tangent_field_operators.h.

template<class MeshType>

static CoordType vcg::tri::CrossField< MeshType >::TangentAngleToVect	(	const FaceType &	f,
		const ScalarType &	angle
	)		`[inline, static]`

transform a given angle in tangent space wrt X axis of tangest space will return the sponding 3D vector

find 2D vector

then transform

Definition at line 753 of file tangent_field_operators.h.

template<class MeshType>

static ScalarType vcg::tri::CrossField< MeshType >::TangentVectToAngle	(	const CoordType	dirX,
		const CoordType	dirZ,
		const CoordType &	vect3D
	)		`[inline, static]`

find an angle with respect to dirX on the plane perpendiculr to DirZ dirX and dirZ should be perpendicular

trensform the vector to the reference frame by rotating it

then put to zero to the Z coordinate

then find the angle with respact to axis 0

Definition at line 766 of file tangent_field_operators.h.

template<class MeshType>

static vcg::Matrix33<ScalarType> vcg::tri::CrossField< MeshType >::TransformationMatrix ( const FaceType & f ) [inline, static]

fird a tranformation matrix to transform the 3D space to 2D tangent space specified by the cross field (where Z=0)

transform to 3d

Definition at line 737 of file tangent_field_operators.h.

template<class MeshType>

static ScalarType vcg::tri::CrossField< MeshType >::turn	(	const CoordType &	norm,
		const CoordType &	d0,
		const CoordType &	d1
	)		`[inline, static, private]`

Definition at line 379 of file tangent_field_operators.h.

template<class MeshType>

static void vcg::tri::CrossField< MeshType >::UpdateSingularByCross ( MeshType & mesh ) [inline, static]

select singular vertices

Definition at line 1219 of file tangent_field_operators.h.

template<class MeshType>

static ScalarType vcg::tri::CrossField< MeshType >::VectToAngle	(	const FaceType &	f,
		const CoordType &	vect3D
	)		`[inline, static]`

find an angle with respect to the tangent frame of given face

trensform the vector to the reference frame by rotating it

then put to zero to the Z coordinate

then find the angle with respact to axis 0

Definition at line 792 of file tangent_field_operators.h.

The documentation for this class was generated from the following file:

tangent_field_operators.h

Static Public Member Functions

Private Types

Static Private Member Functions

Detailed Description

template<class MeshType> class vcg::tri::CrossField< MeshType >

Member Typedef Documentation

Member Function Documentation

template<class MeshType>
class vcg::tri::CrossField< MeshType >