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. More... | |
| double | Value (const Vector2 &) const |
| Compute the intensity. More... | |
| Vector2 | Gradient (const Vector2 &) const |
| Compute the gradient at a given point. More... | |
| Box2 | GetBox () const |
| Compute the bounding box. | |
| Circle2 | GetCircle () const |
| Compute the bounding circle. | |
Protected Attributes | |
| double | re |
| 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. More... | |
| Disc2 (const Circle2 &) | |
| Creates a disc. More... | |
| Disc2 (const Vector2 &, const double &) | |
| Creates a disc. More... | |
| Disc2 (const Vector2 &, const Vector2 &, const Vector2 &) | |
| Creates a disc given three vertices. More... | |
| ~Disc2 () | |
| Empty. | |
| double | R (const Vector2 &) const |
| Computes the distance between a point and the disc. More... | |
| double | Signed (const Vector2 &) const |
| Computes the signed distance between a point and the disc. More... | |
| Vector2 | Normal (const Vector2 &) const |
| Computes the distance vector between a disc and a point. More... | |
| Protected Member Functions inherited from Circle2 | |
| Circle2 () | |
| Empty. | |
| Circle2 (const double &) | |
| Create a circle centered at origin. More... | |
| Circle2 (const Vector2 &, const double &) | |
| Create a circle. More... | |
| Circle2 (const Vector2 &, const Vector2 &, const Vector2 &) | |
| Create the circle passing through 3 points. More... | |
| Circle2 (Vector2 *, int) | |
| Creates a circle enclosing a set of points. More... | |
| bool | Inside (const Vector2 &) const |
| Check if a point is inside the circle. More... | |
| bool | Inside (const Circle2 &) const |
| Test if a circle is entirely embedded in another one. More... | |
| bool | Inside (const Box2 &) const |
| Test if a box is inside the circle. More... | |
| bool | InsideRange (const Vector2 &, const double &) const |
| Check if a point is within a given range of the circle. More... | |
| Vector2 | Center () const |
| Center of the circle. | |
| Vector2 | Vertex (const double &) const |
| Vertex on the circle. More... | |
| 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. More... | |
| Circle2 | Extended (const double &) const |
| Extend the radius of the circle. More... | |
| bool | Intersect (const Box2 &) const |
| Check intersection with a box. More... | |
| bool | Intersect (const Circle2 &) const |
| Check if two circles intersect each other. More... | |
| bool | Intersect (const Ray2 &, double &, double &) const |
| Check the intersection between a circle and a ray. More... | |
| bool | Intersect (const Ray2 &) const |
| Check the intersection between a circle and a ray. More... | |
| bool | Intersect (const Segment2 &) const |
| Check the intersection between a circle and a segment. More... | |
| Vector2 | Normal (const Vector2 &) const |
| Compute the distance vector between a ciecle. More... | |
| double | R (const Vector2 &) const |
| Compute the squared distance between a point and the circle. More... | |
| Box2 | GetBox () const |
| Compute the axis aligned bounding box of a circle. | |
| Circle2 | Translated (const Vector &) const |
| Translate a circle. More... | |
| Circle2 | Rotated (const Matrix2 &) const |
| Rotates a circle. More... | |
| void | Translate (const Vector2 &) |
| Translate a circle. More... | |
| void | Rotate (const Matrix2 &) |
| Rotates a circle. More... | |
| void | Scale (const double &) |
| Scales a circle. More... | |
| double | Area () const |
| Area of the circle. | |
| double | Area (const Circle2 &) const |
| Compute the area of the surface between two circles. More... | |
| Vector2 | RandomInside (Random &=Random::R239) const |
| Generate a random vector inside the circle. More... | |
| Vector2 | RandomOn (Random &=Random::R239) const |
| Generate a random vector on the circle. More... | |
| QVector< Vector2 > | Poisson (const double &, int, bool=false, Random &=Random::R239) const |
| Compute a Poisson sphere distribution inside a circle. More... | |
| QuadricCurve2 | QuadricBezierArc (const double &) const |
| Compute the quadratic Bézier approximation of a circle arc. More... | |
| CubicCurve2 | CubicBezierArc (const double &) const |
| Compute the cubic Bézier approximation of a circle arc. More... | |
| void | Draw (QGraphicsScene &, const QPen &=QPen(), const QBrush &=QBrush()) const |
| Draw a circle. More... | |
| Static Protected Member Functions inherited from Circle2 | |
| static Vector2 | RandomUnit (Random &=Random::R239) |
| Compute a random vertex inside a unit disc. More... | |
| 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()
|
explicit |
Create a smooth disc.
- Parameters
-
c Center. r Radius. re Falloff radius.
Member Function Documentation
◆ Gradient()
Compute the gradient at a given point.
- Parameters
-
p Point.
◆ Value()
| double SmoothDisc2::Value | ( | const Vector2 & | p | ) | const |
Compute the intensity.
- Parameters
-
p Point.
