SmoothEllipse2 Class Reference
An ellipse with a smooth falloff, resembles a compact scaled Gaussian. More...
#include <smooth.h>
Inheritance diagram for SmoothEllipse2:
Public Member Functions | |
| SmoothEllipse2 (const Ellipse2 &) | |
| Create a smooth ellipse. | |
| double | Value (const Vector2 &) const |
| Compute the intensity. | |
| Vector2 | Center () const |
| Gets the center. | |
| Box2 | GetBox () const |
| Compute the bounding box. | |
Additional Inherited Members | |
 Protected Member Functions inherited from Ellipse2 | |
| Matrix2 | MatrixForm () const |
| Compute the matrix form of the ellipse. | |
| Ellipse2 () | |
| Empty. | |
| Ellipse2 (const Vector2 &, const double &, const double &, const Vector2 &=Vector2::X) | |
| Create an ellipse. | |
| Ellipse2 (const double &, const double &) | |
| Create an ellipse. | |
| Ellipse2 (const Matrix2 &A, const Vector2 ¢er) | |
| Create an ellipse : (p - center)^T . A . (p - center) | |
| ~Ellipse2 () | |
| Empty. | |
| Vector2 | Center () const |
| Gets the center. | |
| double | C () const |
| Return the half distance between the focus points of the ellipse. | |
| double | P () const |
| Return the parameter of the ellipse. | |
| Vector2 | Axis () const |
| Return the major axis. | |
| Vector2 | Focus (bool) const |
| Return the focus points of the ellipse. | |
| double | A () const |
| Return the major axis length. | |
| double | B () const |
| Return the minor axis length. | |
| Vector2 | Vertex (const double &) const |
| Compute a vertex on the ellipse. | |
| double | Curvature (const double &) const |
| Compute the curvature at a vertex on the ellipse. | |
| bool | Inside (const Vector2 &) const |
| Check if a point is inside the ellipse. | |
| double | R (const Vector2 &) const |
| Compute the squared distance between a point and the ellipse. | |
| double | Signed (const Vector2 &) const |
| Compute the signed distance between a point and the ellipse. | |
| Ellipse2 | Translated (const Vector2 &) const |
| Translate an ellipse. | |
| Ellipse2 | Scaled (const double &) const |
| Scales an ellipse. | |
| Ellipse2 | Scaled (const Vector2 &, bool=true) const |
| Scales an ellipse. | |
| Ellipse2 | Rotated (const double &) const |
| Rotates an ellipse. | |
| Ellipse2 | Rotated (const Matrix2 &) const |
| Rotates an ellipse. | |
| Ellipse2 | Transformed (const Frame2 &) const |
| Return a ellipse transformed by a frame. | |
| double | Eccentricity () const |
| Eccentricity. | |
| double | Focus () const |
| Focus of an ellipse. | |
| Box2 | GetBox () const |
| Compute the bounding box. | |
| Circle2 | GetCircle () const |
| Compute the bounding circle. | |
| double | Area () const |
| Area of an ellipse. | |
| double | Perimeter () const |
| Perimeter of an ellipse. | |
| Vector2 | RandomInside (Random &=Random::R239) const |
| Generate a random vector inside the circle. | |
| void | Draw (QGraphicsScene &, const QPen &=QPen(), const QBrush &=QBrush()) const |
| Draw a circle. | |
| double | Value (const Vector2 &) const |
| Compute the field function value of an ellipse. | |
| Vector2 | Gradient (const Vector2 &) const |
| Compute the gradient of the field function. | |
| Static Protected Member Functions inherited from Ellipse2 | |
| static Ellipse2 | Lerp (const double &, const Ellipse2 &, const Ellipse2 &) |
| Linear interpolation between two ellipses. | |
| static Ellipse2 | FromPoints (const std::vector< Vector2 > &points, double tolerance=0.05) |
| Builds a ellipse around a point cloud, using a Minium Volume Ellipsoid algorithm. | |
| Protected Attributes inherited from Ellipse2 | |
| Vector2 | c = Vector2::Null |
| Center of the ellipse. | |
| Vector2 | u = Vector2::X |
| Major axis. | |
| double | b = 1.0 |
| Axes lengths. | |
Detailed Description
An ellipse with a smooth falloff, resembles a compact scaled Gaussian.
Constructor & Destructor Documentation
◆ SmoothEllipse2()
|
explicit |
Create a smooth ellipse.
- Parameters
-
e Ellipse.
Member Function Documentation
◆ Value()
| double SmoothEllipse2::Value | ( | const Vector2 & | p | ) | const |
Compute the intensity.
- Parameters
-
p Point.
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