TetraMeshSpatialGrid::Tetra Class Reference

Public Member Functions
	Tetra (const vector< Vec > &vertices, const FourIndices &vertexIndices, const FourFaces &faces)
const Vec &	centroid () const
bool	contains (const Position &bfr) const
double	diagonal () const
Vec	edge (int t1, int t2) const
const Box &	extent () const
const FourFaces &	faces () const
int	findEnteringFace (const Vec &pos, const Direction &dir) const
double	generateBarycentric (double &s, double &t, double &u) const
Position	generatePosition (Random *random) const
Vec	vertex (int t) const
double	volume () const

Private Attributes
Vec	_centroid
Box	_extent
FourFaces	_faces
FourIndices	_vertexIndices
const vector< Vec > &	_vertices

Detailed Description

Private class that represents a tetrahedron, storing all relevant information to fully describe its geometry and allow photon traversal through it.

Constructor & Destructor Documentation

Tetra()

TetraMeshSpatialGrid::Tetra::Tetra	(	const vector< Vec > &	vertices,
		const FourIndices &	vertexIndices,
		const FourFaces &	faces
	)

This constructor initializes the tetrahedron by setting its fields and calculating the bounding box and centroid.

Member Function Documentation

centroid()

const Vec & TetraMeshSpatialGrid::Tetra::centroid

(

)

const

This function returns the centroid of the tetrahedron.

contains()

bool TetraMeshSpatialGrid::Tetra::contains

(

const Position &

bfr

)

const

This function checks if the given position is contained inside the tetrahedron. It first checks if the position is inside the bounding box of the tetrahedron.

diagonal()

double TetraMeshSpatialGrid::Tetra::diagonal

(

)

const

This function calculates and returns the approximate diagonal of the tetrahedron. It calculates the square root of the average of the squared edge lengths.

edge()

Vec TetraMeshSpatialGrid::Tetra::edge	(	int	t1,
		int	t2
	)		const

This function returns the edge from vertex \(t1\) to \(t2\) of the tetrahedron, where \(t1, t2 \in \{0, 1, 2, 3\}\).

extent()

const Box & TetraMeshSpatialGrid::Tetra::extent

(

)

const

This function returns the extent of the tetrahedron.

faces()

const FourFaces & TetraMeshSpatialGrid::Tetra::faces

(

)

const

This function returns a reference to an array of the faces of the tetrahedron.

findEnteringFace()

int TetraMeshSpatialGrid::Tetra::findEnteringFace	(	const Vec &	pos,
		const Direction &	dir
	)		const

This function finds a face that is not the leaving face which can act as the entering face in the traversal algorithm.

generateBarycentric()

double TetraMeshSpatialGrid::Tetra::generateBarycentric	(	double &	s,
		double &	t,
		double &	u
	)		const

This function generates three random barycentric coordinates for uniformly sampling inside this tetrahedron. The fourth coordinate is calculated by ensuring their sum equals 1, i.e. r=1-s-t-u. Source: Generating Random Points in a Tetrahedron: DOI 10.1080/10867651.2000.10487528

generatePosition()

Position TetraMeshSpatialGrid::Tetra::generatePosition

(

Random *

random

)

const

This function generates a random position inside the tetrahedron by generating random barycentric coordinates and using the vertices of the tetrahedron.

vertex()

Vec TetraMeshSpatialGrid::Tetra::vertex

(

int

t

)

const

This function returns the vertex with index \(t\) of the tetrahedron, where \(t \in \{0, 1, 2, 3\}\).

volume()

double TetraMeshSpatialGrid::Tetra::volume

(

)

const

This function calculates and returns the volume of the tetrahedron.

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

• TetraMeshSpatialGrid.hpp