Slab Class Reference

A simple slab class. More...

#include <slab.h>

Inheritance diagram for Slab:

Public Member Functions
	Slab (const Plane &, const double &)
	Create a slab given a normal direction and two points to define the plane coefficients. More...
	Slab ()
	Empty.
	~Slab ()
	Empty.
Vector	Normal () const
	Return the normal direction of the slab.
double	R (const Vector &) const
	Compute the squared distance to the slab. More...
double	Signed (const Vector &) const
	Compute the signed distance to the slab. More...
bool	Intersect (const Ray &, double &, double &) const
	Compute the intersection between a slab and a ray. More...
bool	Inside (const Vector &) const
	Check if a point is inside the slab. More...
void	Rotate (const Matrix &)
	Rotate a plane. More...
void	Translate (const double &)
	Translates a plane in the direction of its normal. More...

Static Public Attributes
static double	epsilon = 1.0e-5
	Internal epsilon constant.

Protected Attributes
double	e = 0.0
	Thickness.
Protected Attributes inherited from Plane
Vector	n = Vector::Z
	Plane normal.
double	c = 0.0
	Plane coefficient.

Additional Inherited Members
Protected Member Functions inherited from Plane
	Plane ()
	Empty.
	Plane (const double &, const double &, const double &, const double &)
	Creates a plane given its analytic equation. More...
	Plane (const Vector &, const double &)
	Creates a plane given normal and distance. More...
	Plane (const Vector &, const Vector &)
	Creates a plane given normal and vertex. More...
	Plane (const Vector &)
	Creates a plane given normal passing through the origin. More...
	~Plane ()
	Empty.
bool	Intersect (const Ray &, double &) const
	Compute the intersection between a plane and a ray. More...
bool	Inside (const Vector &) const
	Check if a point is inside or outside the plane. More...
int	Side (const Vector &) const
	Check if a point lies inside, outside or even on the plane. More...
Vector	Normal () const
	Returns the normal to the plane.
Vector	Vertex () const
	Finds a vertex on the plane. More...
double	R (const Vector &) const
	Compute the squared distance to the half space delimited by the plane. More...
double	Signed (const Vector &) const
	Compute the signed distance between a point and the plane. More...
double	Eval (const Vector &) const
	Evaluates the equation of the plane. More...
void	Transform (const Matrix4 &)
	Transforms a plane given a homogeneous transformation matrix. More...
void	Translate (const double &)
	Translates a plane in the direction of its normal. More...
void	Rotate (const Matrix &)
	Rotate a plane. More...
Vector	Symmetry (const Vector &) const
	Compute the point symmetric to the argument point. More...
Box	Symmetric (const Box &) const
	Compute the boundix box of the symmetric argument box. More...
Segment	Symmetric (const Segment &) const
	Compute the symmetric segment. More...
Sphere	Symmetric (const Sphere &) const
	Compute the symmetric sphere. More...
Vector	Reflect (const Vector &) const
	Compute the reflected direction. More...
bool	Refract (const Vector &, const double &, Vector &) const
	Compute the refracted direction. More...
Vector	Intersect (const Line &) const
	Compute the intersection between a plane and a line. More...
bool	Intersect (const Segment &, double &) const
	Compute the intersection between a plane and a segment. More...
Quadric	Equation (const Ray &) const
	Compute the quadric equation of the Euclidean distance to the plane. More...
Frame	GetFrame () const
	Return a Frame attached to the plane. More...
Axis	Intersect (const Plane &) const
	Compute the intesection between two planes. More...
Static Protected Member Functions inherited from Plane
static void	Cast (const Vector &, double &, double &)
	Compute the inverse mapping coordinates of a point. More...
static Vector	Intersection (const Plane &, const Plane &, const Plane &)
	Compute the intersection between three planes. More...
static QVector< Vector >	ConvexPoints (const QVector< Plane > &)
	Compute the intersection of a set of half spaces. More...
static Vector	Reflect (const Vector &, const Vector &)
	Given an input (normalized) normal, compute a reflected direction. The code is the same as: More...
static bool	Refract (const Vector &, const Vector &, const double &, Vector &)
	Compute the refracted direction. More...
Static Protected Attributes inherited from Plane
static const double	epsilon = 1e-06
	Small value for checking intersection with a ray.
static const Plane	Horizontal
	Reference horizontal plane.

Detailed Description

A simple slab class.

The class stores the normal and the constant coefficient of the plane equations.

This class implements some optimized functions, such as the intersection with a ray.

Constructor & Destructor Documentation

Slab()

Slab::Slab	(	const Plane &	plane,
		const double &	t
	)

Create a slab given a normal direction and two points to define the plane coefficients.

Parameters

plane	Plane.
t	Thickness.

Member Function Documentation

Inside()

bool Slab::Inside

(

const Vector &

p

)

const

Check if a point is inside the slab.

Parameters

p

Point.

Intersect()

bool Slab::Intersect	(	const Ray &	ray,
		double &	tmin,
		double &	tmax
	)		const

Compute the intersection between a slab and a ray.

Sorted intersection depths are returned if intersection occurs.

Parameters

ray	The ray.
tmin,tmax	Intersection depths.

R()

double Slab::R

(

const Vector &

p

)

const

Compute the squared distance to the slab.

Parameters

p

Point.

Rotate()

void Plane::Rotate

(

const Matrix &

r

)

Rotate a plane.

Parameters

r	Rotation matrix.

Signed()

double Slab::Signed

(

const Vector &

p

)

const

Compute the signed distance to the slab.

Parameters

p

Point.

Translate()

void Plane::Translate

(

const double &

t

)

Translates a plane in the direction of its normal.

Parameters

t	Translation distance.