Core triangle mesh class. More...

#include <mesh.h>

Inheritance diagram for Mesh:

Public Member Functions
	Mesh ()
	Initialize the mesh to empty.

	Mesh (const Mesh2 &)
	Initialize the structure from a two dimensional mesh. More...

	Mesh (const QVector< Vector > &)
	Create a mesh from a set of vertices. More...

	Mesh (const QVector< Vector > &, const QVector< int > &, bool=true)
	Create a mesh from a set of vertices and a set of triangle indexes. More...

	Mesh (const QVector< Vector > &, const QVector< Vector > &, const QVector< int > &, const QVector< int > &)
	Create the mesh. More...

	~Mesh ()
	Empty.

void	Reserve (int, int, int, int)
	Reserve memory for arrays. More...

Triangle	GetTriangle (int) const
	Get a triangle. More...

const Vector	Vertex (int) const
	Get a vertex. More...

Vector &	Vertex (int)
	Acces to a vertex. More...

Vector	Vertex (int, int) const
	Get a vertex from a specific triangle. More...

Vector	Normal (int) const
	Get a normal. More...

int	Triangles () const
	Get the number of triangles.

int	Vertexes () const
	Get the number of vertices in the geometry. More...

bool	Manifold () const
	Check if a mesh is manifold.

void	Append (const Mesh &)
	Merge two meshes into a single one. More...

QVector< Vector >	GetVertices () const
	Get the array of vertices.

QVector< Vector >	GetNormals () const
	Get the array of normals.

QVector< int >	VertexIndexes () const
	Return the set of vertex indexes.

QVector< int >	NormalIndexes () const
	Return the set of normal indexes.

QVector< Triangle >	GetTriangles () const
	Returns the geometry as a set of triangles.

int	VertexIndex (int, int) const
	Get the vertex index of a given triangle. More...

int	NormalIndex (int, int) const
	Get the normal index of a given triangle. More...

Vector	operator[] (int) const
	Get a vertex. More...

double	R (const Vector &) const
	Compute the squared distance to the mesh. More...

double	Signed (const Vector &) const
	Compute the signed distance to the mesh. More...

bool	Intersect (const Ray &, double &, int &) const
	Compute the intersection between a ray and the mesh. More...

int	Intersections (const Ray &) const
	Compute the number of intersections between a ray and the mesh. More...

bool	Inside (const Vector &) const
	Check if a point is inside or outside of the object. More...

Box	GetBox () const
	Compute the bounding box of the object.

Sphere	GetSphere () const
	Compute the bounding sphere of the object.

double	AverageEdgeLength () const
	Compute the average edge length.

void	EdgeLengthRange (double &, double &) const
	Compute the range of edge lengths. More...

QVector< int >	AspectRatios (int=4) const
	Compute the histogram of the aspect ratio of the triangles of the mesh. More...

void	EdgeCollapse (const double &)
	Run a simple edge collapse algorithm over a triangle mesh. More...

void	Transform (const FrameScaled &)
	Transforms the mesh given a transformation. More...

Mesh	Transformed (const FrameScaled &) const
	Transforms the mesh given a transformation. More...

void	InverseTransform (const FrameScaled &)
	Inverse transform. More...

void	Symmetry (const Plane &)
	Apply a planar symmetry to the object. More...

void	Rotate (const Matrix &)
	Rotate the mesh. More...

void	Translate (const Vector &)
	Translate the mesh. More...

void	Scale (const Vector &)
	Scale the mesh. More...

void	Scale (const double &)
	Scale the mesh. More...

void	SmoothNormals ()
	Smooth the normals of the mesh. More...

int	IsSmooth (int) const
	Check if the i^th triangle in the mesh is a flat or smooth triangle. More...

	Mesh (const Capsule &, int, int=2)
	Creates a capsule. More...

	Mesh (const Quadrangle &, int, int)
	Generate a grid geometry over an input quadrangle. More...

	Mesh (const Quadrangle &)
	Generate a quadrangle. More...

	Mesh (const Octahedron &)
	Creates the mesh of an octaedron. More...

	Mesh (const Box &)
	Creates an axis aligned box. More...

	Mesh (const Triangle &)
	Creates a triangle. More...

	Mesh (const Sphere &, int)
	Creates a sphere, using polar coordinates. More...

	Mesh (const SphereSet &, int)
	Creates a set of spheres. More...

	Mesh (const Cylinder &, int, bool=true, bool=true)
	Creates a cylinder. More...

	Mesh (const Disc &, int)
	Creates a disc. More...

	Mesh (const Dodecahedron &)
	This function creates the mesh of a dodecahedron. More...

	Mesh (const Icosahedron &)
	Create the mesh of an icosahedron. More...

	Mesh (const QVector< Vector > &, const QVector< Vector > &, const Vector &, const Vector &)
	Create a generalized cylinder with star-shaped contours. More...

	Mesh (const Torus &, int, int, int=-1, int=-1)
	Create the mesh of an torus. More...

	Mesh (const Cuboctahedron &)
	Create the mesh of a cuboctahedron. More...

	Mesh (const Icosidodecahedron &)
	Create the mesh of an icosidodecahedron. More...

	Mesh (const Hexagonal &)
	Create the mesh of a hexagonal prism. More...

	Mesh (const Cone &, int)
	Creates the mesh of a cone. More...

	Mesh (const Rectangles &, int, int)
	Generate a grid geometry over an input rectangle. More...

	Mesh (const Cuboid &)
	Creates the mesh of a cuboid. More...

	Mesh (const QuadricSurface &, const Box2 &, int, int)
	Generate a grid geometry and polygonize the quadric surface. More...

	Mesh (const QuadricCurve &, const double &, int, int)
	Create a swept-sphere along a quadric curve. More...

	Mesh (const CubicCurveSet &, const double &, int, int)
	Create a swept-sphere along a cubic curve. More...

	Mesh (const QuadricCurveSet &, const double &, int, int=2)
	Create a swept-sphere along a set of quadric curves. More...

Mesh	ShrinkedTriangles (const double &) const
	Scales (shrinks) all the triangles of the model. More...

void	Load (const QString &)
	Import a mesh from an .obj file. More...

void	SaveObj (const QString &, const QString &=QString("mesh")) const
	Save the mesh in .obj format, with vertices and normals. More...

Static Public Member Functions
static Mesh	Hull (const QVector< Vector > &)
	Compute the convex hull. More...

static Mesh	Extrusion (const PointCurve &, const PointCurve2 &)
	Extrude a contour along a point curve. More...

static Mesh	Extrusion (const PointCurve &, const QVector< PointCurve2 > &)
	Extrude a set of contour along a point curve. More...

static Mesh	Arrow (const Vector &, const Vector &, const double &, const double &, const double &, int)
	Creates an arrow. The object has 3n+2 vertices, 2n+2 normals and 6n triangles. More...

Protected Member Functions
void	AddTriangle (int, int, int, int)
	Add a triangle to the geometry. More...

void	AddSmoothTriangle (int, int, int, int, int, int)
	Add a smooth triangle to the geometry. More...

void	AddSmoothQuadrangle (int, int, int, int, int, int, int, int)
	Add a smmoth quadrangle to the geometry. More...

void	AddQuadrangle (int, int, int, int)
	Add a quadrangle to the geometry. More...

void	AddQuadrangle (int, int, int, int, int)
	Add a quadrangle to the geometry. More...

void	AddPentagon (int, int, int, int, int, int)
	Add a pentagon to the geometry. More...

int	NextIndex (int) const
	Compute the next index of an edge in a triangle. More...

int	PrevIndex (int) const
	Compute the previous index of an edge in a triangle. More...

int	BaseIndex (int) const
	Compute the base index of a triangle given an edge index. More...

Protected Attributes
QVector< Vector >	vertices
	Vertices.

QVector< Vector >	normals
	Normals.

QVector< int >	varray
	Vertex indexes.

QVector< int >	narray
	Normal indexes.

Friends
class	MeshStack

std::ostream &	operator<< (std::ostream &, const Mesh &)
	Overloaded. More...

Detailed Description

Core triangle mesh class.

Constructor & Destructor Documentation

◆ Mesh() [1/28]

Mesh::Mesh ( const Mesh2 & mesh )

explicit

Initialize the structure from a two dimensional mesh.

Parameters

mesh	Planar mesh.

◆ Mesh() [2/28]

Mesh::Mesh ( const QVector< Vector > & vertices )

explicit

Create a mesh from a set of vertices.

The set defines the 3n vertexes of n triangles. The array of triangle indexes is generated internally.

Parameters

vertices List of vertices.

◆ Mesh() [3/28]

Mesh::Mesh	(	const QVector< Vector > &	vertices,
		const QVector< int > &	indices,
		bool	flat = `true`
	)

explicit

Create a mesh from a set of vertices and a set of triangle indexes.

Indices must have a size multiple of three. Normals are computed to define flat triangles.

Parameters

vertices	List of vertices.
indices	List of vertex indexes.
flat	Boolean, set to true if face should be flat, set to false to generate smooth normals.

◆ Mesh() [4/28]

Mesh::Mesh	(	const QVector< Vector > &	vertices,
		const QVector< Vector > &	normals,
		const QVector< int > &	va,
		const QVector< int > &	na
	)

explicit

Create the mesh.

Parameters

vertices,normals	Array of vertices and normals.
va,na	Array of vertex and normal indexes.

◆ Mesh() [5/28]

Mesh::Mesh	(	const Capsule &	c,
		int	n,
		int	m = `2`
	)

explicit

Creates a capsule.

The mesh has 2n(n-1)+2 vertices, 2n(n-1)+2 normals and 4n(n-1) triangles.

Parameters

c	Capsule.
n	Number of points on circle, the number of slices on a half sphere will be E(n/4).
m	Number of slices on the cylinder part (should be 2 at least).

◆ Mesh() [6/28]

Mesh::Mesh	(	const Quadrangle &	quad,
		int	nx,
		int	ny
	)

explicit

Generate a grid geometry over an input quadrangle.

Parameters

quad	Quadrangle.
nx,ny	Number of points in the subdivision.

◆ Mesh() [7/28]

Mesh::Mesh ( const Quadrangle & quad )

explicit

Generate a quadrangle.

Parameters

quad	Quadrangle, should be flat.

◆ Mesh() [8/28]

Mesh::Mesh ( const Octahedron & octa )

explicit

Creates the mesh of an octaedron.

Parameters

octa	Octahedron.

◆ Mesh() [9/28]

Mesh::Mesh ( const Box & box )

explicit

Creates an axis aligned box.

The object has 8 vertices, 6 normals and 12 triangles.

Parameters

box The box.

◆ Mesh() [10/28]

Mesh::Mesh ( const Triangle & t )

explicit

Creates a triangle.

Parameters

t	The triangle.

◆ Mesh() [11/28]

Mesh::Mesh	(	const Sphere &	sphere,
		int	n
	)

explicit

Creates a sphere, using polar coordinates.

The object has (2 n) (n - 1) + 2 vertices, (2 n) (n - 1) + 2 normals and 4n(n-1) triangles.

Parameters

sphere	Sphere.
n	Discretization parameter.

◆ Mesh() [12/28]

Mesh::Mesh	(	const SphereSet &	set,
		int	n
	)

explicit

Creates a set of spheres.

Parameters

set	Set of spheres.
n	Discretization parameter.

◆ Mesh() [13/28]

Mesh::Mesh	(	const Cylinder &	cylinder,
		int	n,
		bool	ca = `true`,
		bool	cb = `true`
	)

explicit

Creates a cylinder.

The cylinder with caps has 2n+2 vertices, n+2 normals and 4n triangles.

Parameters

cylinder	Cylinder.
ca,cb	Booleans defining whether the cylinder should have caps.
n	Discretization.

◆ Mesh() [14/28]

Mesh::Mesh	(	const Disc &	disc,
		int	n
	)

explicit

Creates a disc.

The disc with has n+1 vertices.

Parameters

disc	Disc.
n	Discretization.

◆ Mesh() [15/28]

Mesh::Mesh ( const Dodecahedron & dodecahedron )

explicit

This function creates the mesh of a dodecahedron.

The object has 20 vertices, 12 normals and 36 triangles

Parameters

dodecahedron Dodecahedron.

◆ Mesh() [16/28]

Mesh::Mesh ( const Icosahedron & icosahedron )

explicit

Create the mesh of an icosahedron.

Parameters

icosahedron Icosahedron.

◆ Mesh() [17/28]

Mesh::Mesh	(	const QVector< Vector > &	ca,
		const QVector< Vector > &	cb,
		const Vector &	a,
		const Vector &	b
	)

explicit

Create a generalized cylinder with star-shaped contours.

Parameters

ca,cb	Star-shaped contours, they should have the same size.
a,b	Centers of the two contours.

◆ Mesh() [18/28]

Mesh::Mesh	(	const Torus &	t,
		int	n,
		int	p,
		int	ia = `-1`,
		int	ib = `-1`
	)

explicit

Create the mesh of an torus.

Parameters

t	Torus.
n,p	Discretization of the generating circles.
ia,ib	Starting and ending indexes of the sections of the torus

◆ Mesh() [19/28]

Mesh::Mesh ( const Cuboctahedron & c )

explicit

Create the mesh of a cuboctahedron.

Parameters

c	Cuboctahedron.

◆ Mesh() [20/28]

Mesh::Mesh ( const Icosidodecahedron & icosi )

explicit

Create the mesh of an icosidodecahedron.

Parameters

icosi Icosidodecahedron.

◆ Mesh() [21/28]

Mesh::Mesh ( const Hexagonal & hexa )

explicit

Create the mesh of a hexagonal prism.

Parameters

hexa	Hexagonal prism.

◆ Mesh() [22/28]

Mesh::Mesh	(	const Cone &	cone,
		int	n
	)

explicit

Creates the mesh of a cone.

A truncated cone has 2n+2 vertices, n+2 normals and 4n triangles.

A real cone has n+2 vertices, n+2 normals and 2n triangles.

Parameters

cone	The cone.
n	Discretization parameter.

◆ Mesh() [23/28]

Mesh::Mesh	(	const Rectangles &	rect,
		int	nx,
		int	ny
	)

explicit

Generate a grid geometry over an input rectangle.

Parameters

rect	Rectangle.
nx,ny	Number of points in the subdivision.

◆ Mesh() [24/28]

Mesh::Mesh ( const Cuboid & cuboid )

explicit

Creates the mesh of a cuboid.

Parameters

cuboid The cuboid.

◆ Mesh() [25/28]

Mesh::Mesh	(	const QuadricSurface &	s,
		const Box2 &	box,
		int	nx,
		int	ny
	)

explicit

Generate a grid geometry and polygonize the quadric surface.

Parameters

s	The quadric surface.
box	The box.
nx,ny	Number of points in the subdivision.

◆ Mesh() [26/28]

Mesh::Mesh	(	const QuadricCurve &	c,
		const double &	r,
		int	n,
		int	m
	)

explicit

Create a swept-sphere along a quadric curve.

Parameters

c	Quadric curve
r	Radius.
n	Number of points on circle.
m	Number of slices on the curve (should be 2 at least).

◆ Mesh() [27/28]

Mesh::Mesh	(	const CubicCurveSet &	c,
		const double &	r,
		int	n,
		int	m
	)

explicit

Create a swept-sphere along a cubic curve.

Parameters

c	Set of cubic curves
r	Radius.
n	Number of points on circle.
m	Number of slices on the curve (should be 2 at least).

◆ Mesh() [28/28]

Mesh::Mesh	(	const QuadricCurveSet &	c,
		const double &	r,
		int	n,
		int	m = `2`
	)

explicit

Create a swept-sphere along a set of quadric curves.

Parameters

c	Set of quadric curves
r	Radius.
n	Number of points on circle.
m	Number of slices on the curve (should be 2 at least).

Member Function Documentation

◆ AddPentagon()

void Mesh::AddPentagon	(	int	a,
		int	b,
		int	c,
		int	d,
		int	e,
		int	n
	)

protected

Add a pentagon to the geometry.

It creates three triangles abc, acd and ade.

Parameters

a,b,c,d,e	Index of the vertices.
n	Index of the normal shared by all vertices.

◆ AddQuadrangle() [1/2]

void Mesh::AddQuadrangle	(	int	a,
		int	b,
		int	c,
		int	d
	)

protected

Add a quadrangle to the geometry.

Parameters

a,b,c,d Index of the vertices and normals.

◆ AddQuadrangle() [2/2]

void Mesh::AddQuadrangle	(	int	a,
		int	b,
		int	c,
		int	d,
		int	n
	)

protected

Add a quadrangle to the geometry.

Parameters

a,b,c,d	Index of the vertexes.
n	Index of the (shared) normal.

◆ AddSmoothQuadrangle()

void Mesh::AddSmoothQuadrangle	(	int	a,
		int	na,
		int	b,
		int	nb,
		int	c,
		int	nc,
		int	d,
		int	nd
	)

protected

Add a smmoth quadrangle to the geometry.

Creates two smooth triangles abc and acd.

Parameters

a,b,c,d	Index of the vertexes.
na,nb,nc,nd	Indexes of the normals for the vertexes.

◆ AddSmoothTriangle()

void Mesh::AddSmoothTriangle	(	int	a,
		int	na,
		int	b,
		int	nb,
		int	c,
		int	nc
	)

protected

Add a smooth triangle to the geometry.

Parameters

a,b,c	Index of the vertices.
na,nb,nc	Index of the normals.

◆ AddTriangle()

void Mesh::AddTriangle	(	int	a,
		int	b,
		int	c,
		int	n
	)

protected

Add a triangle to the geometry.

Parameters

a,b,c	Index of the vertices.
n	Index of the normal.

◆ Append()

void Mesh::Append ( const Mesh & mesh )

Merge two meshes into a single one.

Parameters

mesh	Argument mesh.

◆ Arrow()

Mesh Mesh::Arrow	(	const Vector &	a,
		const Vector &	b,
		const double &	r,
		const double &	R,
		const double &	l,
		int	n
	)

static

Creates an arrow. The object has 3n+2 vertices, 2n+2 normals and 6n triangles.

Note that this shape is more efficient in terms of storage than a cylinder and a cone.

Parameters

a,b	End vertices.
r,R	Cylinder and cone radii.
l	Length of the cylinder, the size of the cone will be derived from the distance b-a minus this length.
n	Discretization.

◆ AspectRatios()

QVector< int > Mesh::AspectRatios ( int n = 4 ) const

Compute the histogram of the aspect ratio of the triangles of the mesh.

Parameters

n	Number of classes.

◆ BaseIndex()

int Mesh::BaseIndex ( int i ) const

inlineprotected

Compute the base index of a triangle given an edge index.

Parameters

i	Edge index.

◆ EdgeCollapse()

void Mesh::EdgeCollapse ( const double & epsilon )

Run a simple edge collapse algorithm over a triangle mesh.

This algorithm runs in O(n²) where n denotes the number of triangles in the mesh.

Parameters

epsilon Threshold length for collapsing an edge.

◆ EdgeLengthRange()

void Mesh::EdgeLengthRange	(	double &	a,
		double &	b
	)		const

Compute the range of edge lengths.

Parameters

a,b Range.

◆ Extrusion() [1/2]

Mesh Mesh::Extrusion	(	const PointCurve &	curve,
		const PointCurve2 &	profile
	)

static

Extrude a contour along a point curve.

Parameters

curve	Curve.
profile	Contour.

◆ Extrusion() [2/2]

Mesh Mesh::Extrusion	(	const PointCurve &	curve,
		const QVector< PointCurve2 > &	profile
	)

static

Extrude a set of contour along a point curve.

The curve and the set of contours should have the same size.

Parameters

curve%	Curve.
profile	Contour.

◆ GetTriangle()

Triangle Mesh::GetTriangle ( int i ) const

inline

Get a triangle.

Parameters

i Index.

Returns: The triangle.

◆ Hull()

Mesh Mesh::Hull ( const QVector< Vector > & p )

static

Compute the convex hull.

Parameters

p	Set of points.

Author: Leo McCormack, Copyright © 2017-2018

◆ Inside()

bool Mesh::Inside ( const Vector & p ) const

Check if a point is inside or outside of the object.

This is a brute force algorithm, that computes all the intersections between the ray and the triangles of the object.

The mesh should be closed, i.e. without holes.

Parameters

p Point.

◆ Intersect()

bool Mesh::Intersect	(	const Ray &	ray,
		double &	depth,
		int &	index
	)		const

Compute the intersection between a ray and the mesh.

Very computationally intensive function: compute all the ray-triangle intersections.

Parameters

ray	The ray.
depth	Intersection depth.
index	Index of the intersected triangle.

◆ Intersections()

int Mesh::Intersections ( const Ray & ray ) const

Compute the number of intersections between a ray and the mesh.

Very computationally intensive function: compute all the ray-triangle intersections.

Parameters

ray The ray.

◆ InverseTransform()

void Mesh::InverseTransform ( const FrameScaled & frame )

Inverse transform.

See also: Mesh::Transform()

Parameters

frame Transformation.

◆ IsSmooth()

int Mesh::IsSmooth ( int i ) const

Check if the i^th triangle in the mesh is a flat or smooth triangle.

This is performed by comparing the indexes of the normals, not the normals themselves. Therefore, should the normal indexes be different but the normal vector equal, the function will return that the triangle is a smooth one anyway.

Parameters

i	Index of the triangle.

◆ Load()

void Mesh::Load ( const QString & filename )

Import a mesh from an .obj file.

Parameters

filename File name.

◆ NextIndex()

int Mesh::NextIndex ( int i ) const

inlineprotected

Compute the next index of an edge in a triangle.

Parameters

i	Index of the starting vertex of an edge.

◆ Normal()

Vector Mesh::Normal ( int i ) const

inline

Get a normal.

Parameters

i	Index of the wanted normal.

Returns: The normal.

◆ NormalIndex()

int Mesh::NormalIndex	(	int	t,
		int	i
	)		const

inline

Get the normal index of a given triangle.

Parameters

t	Triangle index.
i	Normal index.

◆ operator[]()

Vector Mesh::operator[] ( int i ) const

inline

Get a vertex.

Parameters

i	The index of the wanted vertex.

Returns: The wanted vertex (as a 3D Vector).

See also: vertex(int i) const

◆ PrevIndex()

int Mesh::PrevIndex ( int i ) const

inlineprotected

Compute the previous index of an edge in a triangle.

Parameters

i	Index of the starting vertex of an edge.

◆ R()

double Mesh::R ( const Vector & p ) const

Compute the squared distance to the mesh.

This function computes the squared distance to the surface, not the squared distance to the solid object.

Parameters

p Point.

◆ Reserve()

void Mesh::Reserve	(	int	nv,
		int	nn,
		int	nvi,
		int	nvn
	)

Reserve memory for arrays.

Parameters

nv,nn,nvi,nvn Number of vertices, normals, vertex indexes and vertex normals.

◆ Rotate()

void Mesh::Rotate ( const Matrix & r )

Rotate the mesh.

Parameters

r	Rotation matrix.

◆ SaveObj()

void Mesh::SaveObj	(	const QString &	url,
		const QString &	meshName = `QString("mesh")`
	)		const

Save the mesh in .obj format, with vertices and normals.

Parameters

url	Filename.
meshName	Mesh name in .obj file.

◆ Scale() [1/2]

void Mesh::Scale ( const double & s )

Scale the mesh.

Parameters

s	Scaling factor.

◆ Scale() [2/2]

void Mesh::Scale ( const Vector & s )

Scale the mesh.

Parameters

s	Scaling vector, terms should be >0.

◆ ShrinkedTriangles()

Mesh Mesh::ShrinkedTriangles ( const double & e ) const

Scales (shrinks) all the triangles of the model.

It should be possible to look into the geometry as holes will appear at the edges and vertices of the model.

Parameters

e Erosion.

◆ Signed()

double Mesh::Signed ( const Vector & p ) const

Compute the signed distance to the mesh.

The mesh should be closed.

Parameters

p Point.

◆ SmoothNormals()

void Mesh::SmoothNormals ( )

Smooth the normals of the mesh.

This function weights the normals of the faces by their corresponding area.

See also: Triangle::AreaNormal()

◆ Symmetry()

void Mesh::Symmetry ( const Plane & plane )

Apply a planar symmetry to the object.

Parameters

plane Plane.

◆ Transform()

void Mesh::Transform ( const FrameScaled & frame )

Transforms the mesh given a transformation.

Parameters

frame Transformation.

◆ Transformed()

Mesh Mesh::Transformed ( const FrameScaled & frame ) const

Transforms the mesh given a transformation.

Parameters

frame Transformation.

◆ Translate()

void Mesh::Translate ( const Vector & t )

Translate the mesh.

Parameters

t	Translation vector.

◆ Vertex() [1/3]

Vector & Mesh::Vertex ( int i )

inline

Acces to a vertex.

Parameters

i	The index of the vertex.

◆ Vertex() [2/3]

const Vector Mesh::Vertex ( int i ) const

inline

Get a vertex.

Parameters

i	The index of the vertex.

Returns: The vertex position.

◆ Vertex() [3/3]

Vector Mesh::Vertex	(	int	t,
		int	v
	)		const

inline

Get a vertex from a specific triangle.

Parameters

t	The number of the triangle wich contain the wanted vertex.
v	The triangle vertex: 0, 1, or 2.

Returns: The wanted vertex (as a 3D Vector).

◆ Vertexes()

int Mesh::Vertexes ( ) const

inline

Get the number of vertices in the geometry.

Returns: The number of vertices in the geometry, in other words the size of vertices.

◆ VertexIndex()

int Mesh::VertexIndex	(	int	t,
		int	i
	)		const

inline

Get the vertex index of a given triangle.

Parameters

t	Triangle index.
i	Vertex index.

Friends And Related Function Documentation

◆ operator<<

std::ostream & operator<<	(	std::ostream &	s,
		const Mesh &	mesh
	)

friend

Overloaded.

Parameters

s	Stream.
mesh	The mesh.

Public Member Functions

Static Public Member Functions

Protected Member Functions

Protected Attributes

Friends

Detailed Description

Constructor & Destructor Documentation

◆ Mesh() [1/28]

◆ Mesh() [2/28]

◆ Mesh() [3/28]

◆ Mesh() [4/28]

◆ Mesh() [5/28]

◆ Mesh() [6/28]

◆ Mesh() [7/28]

◆ Mesh() [8/28]

◆ Mesh() [9/28]

◆ Mesh() [10/28]

◆ Mesh() [11/28]

◆ Mesh() [12/28]

◆ Mesh() [13/28]

◆ Mesh() [14/28]

◆ Mesh() [15/28]

◆ Mesh() [16/28]

◆ Mesh() [17/28]

◆ Mesh() [18/28]

◆ Mesh() [19/28]

◆ Mesh() [20/28]

◆ Mesh() [21/28]

◆ Mesh() [22/28]

◆ Mesh() [23/28]

◆ Mesh() [24/28]

◆ Mesh() [25/28]

◆ Mesh() [26/28]

◆ Mesh() [27/28]

◆ Mesh() [28/28]

Member Function Documentation

◆ AddPentagon()

◆ AddQuadrangle() [1/2]

◆ AddQuadrangle() [2/2]

◆ AddSmoothQuadrangle()

◆ AddSmoothTriangle()

◆ AddTriangle()

◆ Append()

◆ Arrow()

◆ AspectRatios()

◆ BaseIndex()

◆ EdgeCollapse()

◆ EdgeLengthRange()

◆ Extrusion() [1/2]

◆ Extrusion() [2/2]

◆ GetTriangle()

◆ Hull()

◆ Inside()

◆ Intersect()

◆ Intersections()

◆ InverseTransform()

◆ IsSmooth()

◆ Load()

◆ NextIndex()

◆ Normal()

◆ NormalIndex()

◆ operator[]()

◆ PrevIndex()

◆ R()

◆ Reserve()

◆ Rotate()

◆ SaveObj()

◆ Scale() [1/2]

◆ Scale() [2/2]

◆ ShrinkedTriangles()

◆ Signed()

◆ SmoothNormals()

◆ Symmetry()

◆ Transform()

◆ Transformed()

◆ Translate()

◆ Vertex() [1/3]

◆ Vertex() [2/3]

◆ Vertex() [3/3]

◆ Vertexes()