SmoothSphere Class Reference

A sphere domain with a cubic falloff decay. More...

#include <smooth.h>

Inheritance diagram for SmoothSphere:

Public Member Functions
	SmoothSphere (const Vector &, const double &, const double &)
	Create a smooth sphere.
double	Value (const Vector &) const
	Compute the intensity.
Box	GetBox () const
	Compute the bounding box.

Protected Attributes
double	re = 0.0
	Falloff radius.
Protected Attributes inherited from Sphere
Vector	c = Vector::Null
	Center.
double	r = 0.0
	Radius.

Additional Inherited Members
Protected Member Functions inherited from Sphere
	Sphere ()
	Empty.
	Sphere (const double &)
	Creates a sphere centered at origin with specified radius.
	Sphere (const Vector &, const double &=0.0)
	Creates a sphere given center and radius.
	Sphere (const Vector &, const Vector &)
	Creates a sphere given two points.
	Sphere (const Vector &, const Vector &, const Vector &)
	Creates a sphere given three vertices.
	Sphere (const Vector &, const Vector &, const Vector &, const Vector &)
	Create a sphere circumsizing four vertices.
	Sphere (const QVector< Vector > &)
	Compute the minimal bounding sphere of a set of points.
	~Sphere ()
	Empty.
Vector	Center () const
	Gets the center of a sphere.
double	Radius () const
	Gets the radius of a sphere.
Box	GetBox () const
	Compute the bounding box of a sphere.
bool	Intersect (const Ray &) const
	Check the intersection between a sphere and a ray.
int	Intersect (const Ray &, double &, double &) const
	Compute the intersection between a sphere and a ray.
int	Intersect (const Ray &, double &, double &, Vector &, Vector &) const
	This function computes the intersections between a sphere and a ray.
bool	Intersect (const Box &) const
	Box-sphere intersection test.
bool	Intersect (const Sphere &, Circle &) const
	Check if two spheres intersect.
bool	Intersect (const Sphere &) const
	Check if two spheres intersect.
bool	SurfaceIntersect (const Sphere &) const
	Check if two spheres intersect, only considering their surface.
bool	Intersect (const Ray &, double &) const
	This function computes the first intersection between a sphere and a ray.
bool	Inside (const Vector &) const
	Check if a point is inside or outside the sphere.
double	Volume () const
	Compute the volume of the sphere.
double	Volume (const Sphere &) const
	Compute the volume of the intersection of two spheres.
double	Area () const
	Compute the surface area of a sphere.
Vector	Normal (const Vector &) const
	Computes the normal vector between a point and the sphere.
double	R (const Vector &) const
	Compute the squared distance between a point and the sphere.
double	Signed (const Vector &) const
	Compute the signed distance between a point and the sphere.
double	R (const Sphere &) const
	Compute the signed distance between two spheres.
double	R (const Vector &, const Vector &) const
	Compute the great-circle or orthodromic distance.
void	Rotate (const Matrix &)
	Rotates a sphere.
void	Translate (const Vector &)
	Translates a sphere.
void	Scale (const double &)
	Uniformly scales a sphere.
Sphere	Translated (const Vector &) const
	Translate a sphere.
Sphere	Scaled (const Vector &) const
	Scales a sphere by a given vector.
Sphere	Rotated (const Matrix &) const
	Rotates a sphere.
Sphere	Transformed (const Frame &) const
	Transforms a sphere.
Sphere	InverseTransformed (const Frame &) const
	Inverse transforms a sphere.
void	Extend (const Vector &)
	Extend the sphere so that the argument point should be embedded in the new sphere.
void	Extend (const double &)
	Extend the sphere, i.e. increase the radius of the sphere.
Sphere	Extended (const double &) const
	Extend the sphere, i.e. increase the radius of the sphere.
Vector	RandomSurface (Random &=Random::R239) const
	Generate a random point on the sphere.
Vector	RandomInside (Random &=Random::R239) const
	Generate a random vector inside the sphere.
Vector	Fibonacci (int, int) const
QVector< Vector >	Poisson (const double &, int, Random &=Random::R239) const
	Create a Poisson Disc sampling of the surface of the sphere.
Vector2	Euler (const Vector &) const
	Compute the Euler coordinates of a point.
Static Protected Member Functions inherited from Sphere
static Vector	RandomNormal (Random &=Random::R239)
	Generate a random unit vector orthonormal to the sphere.
static double	Area (const double &)
	Compute the surface area of a sphere.
static double	Volume (const double &)
	Compute the volume of a sphere.
static Vector2	EquiRectangular (int, int, int, int)
	Compute the Euler coordinates of a point defined in a rectangle map.
static bool	Intersection (const Sphere &, const Sphere &, const Sphere &, Vector &, Vector &)
	Compute the intersection of three spheres.
static bool	Intersection (const Sphere &, const Sphere &, const Vector &, Vector &, Vector &)
	Compute the intersection of two spheres and a plane.
Static Protected Attributes inherited from Sphere
static const double	epsilon = 1.0e-4
	\(\varepsilon\) for intersection tests.
static const Sphere	Null
	Empty sphere.
static const Sphere	Infinity
	Infinite sphere.
static const Sphere	Unit
	Unit sphere.

Detailed Description

A sphere domain with a cubic falloff decay.

This class implements a simple spherical domain with constant intensity, and with a smooth cubic falloff decay function. It can be used to implement regions of influence, without resorting to the LibBlob.

Constructor & Destructor Documentation

SmoothSphere()

SmoothSphere::SmoothSphere ( const Vector & c, const double & r, const double & re )

explicit

Create a smooth sphere.

Parameters

c	Center.
r	Radius.
re	Falloff radius.

Member Function Documentation

Value()

double SmoothSphere::Value

(

const Vector &

p

)

const

Compute the intensity.

Parameters

p

Point.