vcg::tri::Zonohedron< Scalar > Class Template Reference

#include <zonohedron.h>

List of all members.

Classes
struct	Face
struct	Signature
Public Types
typedef Point3< Scalar >	Vec3
Public Member Functions
void	addVector (Scalar x, Scalar y, Scalar z)
void	addVector (Vec3 v)
void	addVectors (const std::vector< Vec3 >)
template<class MeshType >
void	createMesh (MeshType &output)
const std::vector< Vec3 > &	vectors () const
	Zonohedron ()
Private Types
typedef int	VecIndex
typedef std::map< Signature, int >	VertexMap
Private Member Functions
void	createInternalMesh ()
Vec3	cross (VecIndex i, VecIndex j)
Face &	face (VecIndex i, VecIndex j)
void	precompteAllCrosses ()
bool	signOf_IxJoK (VecIndex i, VecIndex j, VecIndex k)
Vec3	toPos (const Signature &s) const
VecIndex	vertexIndex (const Signature &s)
Static Private Member Functions
static Vec3	altVec (int i)
static Scalar	tripleProduct (const Vec3 &a, const Vec3 &b, const Vec3 &c)
static Vec3	uniqueVerse (Vec3 v)
Private Attributes
std::vector< Face >	_face
int	n
std::vector< Vec3 >	precomputedCross
std::vector< Vec3 >	vec
int	vertCount
VertexMap	vertexMap

---

Detailed Description

template<class Scalar>
class vcg::tri::Zonohedron< Scalar >

A class to build a Zonohedron.

Given a set of input vectors, a zonohedron is defined as the convex hull of all the points which can be costructed by summing together any subset of input vectors. The surface closing this solid is composed only of flat parallelograms, (which have the input vectors as sides). It is always point-symmetric.

Mesh created by this class are pure-quad meshes (triangular bit-quad), (when coplanar vectors are fed, then planar groups of quads can be seen as forming planar faces with more than 4 vertices).

USAGE: 1) Instantiate a Zonohedron. 2) Add input vectors at will to it, with addVector(s) 3) When you are done, call createMesh.

Definition at line 54 of file zonohedron.h.

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Member Typedef Documentation

template<class Scalar>

typedef Point3<Scalar> vcg::tri::Zonohedron< Scalar >::Vec3

Definition at line 57 of file zonohedron.h.

template<class Scalar>

typedef int vcg::tri::Zonohedron< Scalar >::VecIndex [private]

Definition at line 77 of file zonohedron.h.

template<class Scalar>

typedef std::map< Signature, int > vcg::tri::Zonohedron< Scalar >::VertexMap [private]

Definition at line 179 of file zonohedron.h.

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Constructor & Destructor Documentation

template<class Scalar>

vcg::tri::Zonohedron< Scalar >::Zonohedron

(

)

[inline]

Definition at line 59 of file zonohedron.h.

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Member Function Documentation

template<class Scalar>

void vcg::tri::Zonohedron< Scalar >::addVector

(

Vec3

v

)

template<class Scalar>

static Vec3 vcg::tri::Zonohedron< Scalar >::altVec

(

int

i

)

[inline, static, private]

Definition at line 130 of file zonohedron.h.

template<class Scalar>

void vcg::tri::Zonohedron< Scalar >::createInternalMesh

(

)

[inline, private]

Definition at line 210 of file zonohedron.h.

template<class Scalar>

Vec3 vcg::tri::Zonohedron< Scalar >::cross	(	VecIndex	i,
		VecIndex	j
	)		[inline, private]

Definition at line 116 of file zonohedron.h.

template<class Scalar>

Face& vcg::tri::Zonohedron< Scalar >::face	(	VecIndex	i,
		VecIndex	j
	)		[inline, private]

Definition at line 197 of file zonohedron.h.

template<class Scalar>

void vcg::tri::Zonohedron< Scalar >::precompteAllCrosses

(

)

[inline, private]

Definition at line 109 of file zonohedron.h.

template<class Scalar>

bool vcg::tri::Zonohedron< Scalar >::signOf_IxJoK	(	VecIndex	i,
		VecIndex	j,
		VecIndex	k
	)		[inline, private]

Definition at line 139 of file zonohedron.h.

template<class Scalar>

Vec3 vcg::tri::Zonohedron< Scalar >::toPos

(

const Signature &

s

)

const [inline, private]

Definition at line 203 of file zonohedron.h.

template<class Scalar>

static Scalar vcg::tri::Zonohedron< Scalar >::tripleProduct	(	const Vec3 &	a,
		const Vec3 &	b,
		const Vec3 &	c
	)		[inline, static, private]

Definition at line 134 of file zonohedron.h.

template<class Scalar>

static Vec3 vcg::tri::Zonohedron< Scalar >::uniqueVerse

(

Vec3

v

)

[inline, static, private]

Definition at line 121 of file zonohedron.h.

template<class Scalar>

const std::vector< Vec3 >& vcg::tri::Zonohedron< Scalar >::vectors

(

)

const [inline]

Definition at line 65 of file zonohedron.h.

template<class Scalar>

VecIndex vcg::tri::Zonohedron< Scalar >::vertexIndex

(

const Signature &

s

)

[inline, private]

Definition at line 183 of file zonohedron.h.

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Member Data Documentation

template<class Scalar>

std::vector<Face> vcg::tri::Zonohedron< Scalar >::_face [private]

Definition at line 177 of file zonohedron.h.

template<class Scalar>

int vcg::tri::Zonohedron< Scalar >::n [private]

Definition at line 173 of file zonohedron.h.

template<class Scalar>

std::vector< Vec3 > vcg::tri::Zonohedron< Scalar >::precomputedCross [private]

Definition at line 107 of file zonohedron.h.

template<class Scalar>

std::vector<Vec3> vcg::tri::Zonohedron< Scalar >::vec [private]

Definition at line 174 of file zonohedron.h.

template<class Scalar>

int vcg::tri::Zonohedron< Scalar >::vertCount [private]

Definition at line 176 of file zonohedron.h.

template<class Scalar>

VertexMap vcg::tri::Zonohedron< Scalar >::vertexMap [private]

Definition at line 180 of file zonohedron.h.

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

• zonohedron.h