SmoothDisc2 Class Reference

A disc domain with a cubic falloff. More...

#include <smooth.h>

Inheritance diagram for SmoothDisc2:

Public Member Functions
	SmoothDisc2 (const Vector2 &, const double &, const double &)
	Create a smooth disc.
double	Value (const Vector2 &) const
	Compute the intensity.
Vector2	Gradient (const Vector2 &) const
	Compute the gradient at a given point.
Box2	GetBox () const
	Compute the bounding box.
Circle2	GetCircle () const
	Compute the bounding circle.

Protected Attributes
double	re = 0.0
	Falloff radius.
Protected Attributes inherited from Circle2
Vector2	c = Vector2::Null
	Center.
double	r = 1.0
	Radius.

Additional Inherited Members
Protected Member Functions inherited from Disc2
	Disc2 ()
	Empty.
	Disc2 (const double &)
	Creates a disc.
	Disc2 (const Circle2 &)
	Creates a disc from a circle.
	Disc2 (const Vector2 &, const double &)
	Creates a disc.
	Disc2 (const Vector2 &, const Vector2 &, const Vector2 &)
	Creates a disc given three vertices.
	~Disc2 ()
	Empty.
double	R (const Vector2 &) const
	Computes the distance between a point and the disc.
double	R (const Disc2 &) const
	Compute the signed distance between two discs.
double	Signed (const Vector2 &) const
	Computes the signed distance between a point and the disc.
Vector2	Normal (const Vector2 &) const
	Computes the distance vector between a disc and a point.
Protected Member Functions inherited from Circle2
	Circle2 ()
	Empty.
	Circle2 (const double &)
	Create a circle centered at origin.
	Circle2 (const Vector2 &, const double &)
	Create a circle.
	Circle2 (const Vector2 &, const Vector2 &, const Vector2 &)
	Create the circle passing through 3 points.
	Circle2 (Vector2 *, int)
	Creates a circle enclosing a set of points.
	Circle2 (const Circle2 &, const Circle2 &)
	Create a circle embedding two circles.
bool	Inside (const Vector2 &) const
	Check if a point is inside the circle.
bool	Inside (const Circle2 &) const
	Test if a circle is entirely embedded in another one.
bool	Inside (const Box2 &) const
	Test if a box is inside the circle.
bool	InsideRange (const Vector2 &, const double &) const
	Check if a point is within a given range of the circle.
Vector2	Center () const
	Center of the circle.
Vector2	Vertex (const double &) const
	Vertex on the circle.
Vector2	Tangent (const double &) const
	Tangent to the circle.
double	Radius () const
	Radius of the circle.
void	Extend (const Vector2 &)
	Extend the circle so that the argument point should be embedded in the new circle.
Circle2	Extended (const double &) const
	Extend the radius of the circle.
bool	Intersect (const Box2 &) const
	Check intersection with a box.
bool	Intersect (const Circle2 &) const
	Check if two circles intersect each other.
bool	Intersect (const Ray2 &, double &, double &) const
	Check the intersection between a circle and a ray.
bool	Intersect (const Ray2 &) const
	Check the intersection between a circle and a ray.
bool	Intersect (const Segment2 &) const
	Check the intersection between a circle and a segment.
Vector2	Normal (const Vector2 &) const
	Compute the distance vector between a ciecle.
double	R (const Vector2 &) const
	Compute the squared distance between a point and the circle.
Box2	GetBox () const
	Compute the axis aligned bounding box of a circle.
Circle2	Translated (const Vector2 &) const
	Translate a circle.
Circle2	Rotated (const Matrix2 &) const
	Rotates a circle.
Circle2	Transformed (const Frame2 &) const
	Return a circle transformed by a frame.
Circle2	Scaled (const double &) const
	Return a uniformly scaled circle.
void	Translate (const Vector2 &)
	Translate a circle.
void	Rotate (const Matrix2 &)
	Rotates a circle.
void	Scale (const double &)
	Scales a circle.
double	Area () const
	Area of the circle.
double	Length () const
	Perimeter of the circle.
double	Area (const Circle2 &) const
	Compute the area of the surface between two circles.
Vector2	RandomInside (Random &=Random::R239) const
	Generate a random vector inside the circle.
Vector2	RandomOn (Random &=Random::R239) const
	Generate a random vector on the circle.
Vector2	Vogel (int, int) const
	Generate a spiraling vector in the disc.
QVector< Vector2 >	Poisson (const double &, int, bool=false, Random &=Random::R239) const
	Compute a Poisson disc distribution inside a circle.
QVector< Vector2 >	PoissonNorder (const double &, int, Random &=Random::R239) const
	Compute a Poisson disc distribution on the boundary of a circle.
QVector< Vector2 >	Border (const double &, Random &=Random::R239) const
	Compute a Poisson disc distribution on the boundary of the circle.
QuadricCurve2	QuadricBezierArc (const double &) const
	Compute the quadratic Bézier approximation of a circle arc.
QuadricCurve2	QuadricBezierArc (const double &, const double &) const
	Compute the quadratic Bézier approximation of a circle arc.
CubicCurve2	CubicBezierArc (const double &) const
	Compute the cubic Bézier approximation of a circle arc.
void	Draw (QGraphicsScene &, const QPen &=QPen(), const QBrush &=QBrush()) const
	Draw a circle.
Static Protected Member Functions inherited from Circle2
static Vector2	RandomUnit (Random &=Random::R239)
	Compute a random vertex inside a unit disc.
Static Protected Attributes inherited from Circle2
static constexpr const double	Epsilon = 1.e-6
	Epslion for intersection tests
static const Circle2	Unit
	Unit circle.
static const Circle2	Infinite
	Infinite circle.

Detailed Description

A disc domain with a cubic falloff.

Constructor & Destructor Documentation

SmoothDisc2()

SmoothDisc2::SmoothDisc2 ( const Vector2 & c, const double & r, const double & re )

explicit

Create a smooth disc.

Parameters

c	Center.
r	Radius.
re	Falloff radius.

Member Function Documentation

Gradient()

Vector2 SmoothDisc2::Gradient

(

const Vector2 &

p

)

const

Compute the gradient at a given point.

Parameters

p

Point.

Value()

double SmoothDisc2::Value

(

const Vector2 &

p

)

const

Compute the intensity.

Parameters

p

Point.