QuadBezierCurve2D (java-geom 3.3.1 API)

java.lang.Object
- math.geom2d.curve.AbstractContinuousCurve2D
- - math.geom2d.curve.AbstractSmoothCurve2D
  - - math.geom2d.spline.QuadBezierCurve2D

All Implemented Interfaces:

Serializable, Cloneable, ContinuousCurve2D, Curve2D, SmoothCurve2D, ContinuousOrientedCurve2D, OrientedCurve2D, Shape2D

Direct Known Subclasses:

QuadBezier2D
```
public class QuadBezierCurve2D
extends AbstractSmoothCurve2D
implements SmoothCurve2D, ContinuousOrientedCurve2D, Cloneable
```
A quadratic bezier curve, defined by 3 points. From javaGeom 0.8.0, this shape does not extends. java.awt.geom.QuadCurve2D.Double anymore

Author:

Legland

See Also:
Serialized Form

Field Summary

Fields
Modifier and Type	Field and Description
`protected double`	`ctrlx`
`protected double`	`ctrly`
`protected double`	`x1`
`protected double`	`x2`
`protected double`	`y1`
`protected double`	`y2`

Fields inherited from interface math.geom2d.Shape2D
ACCURACY

Constructor Summary

Constructors
Constructor and Description
`QuadBezierCurve2D()`
`QuadBezierCurve2D(double[][] coefs)` Build a new Bezier curve from its array of coefficients.
`QuadBezierCurve2D(double x1, double y1, double xctrl, double yctrl, double x2, double y2)` Build a new quadratic Bezier curve by specifying position of extreme points and position of control point.
`QuadBezierCurve2D(Point2D[] pts)`
`QuadBezierCurve2D(Point2D p1, Point2D ctrl, Point2D p2)` Build a new quadratic Bezier curve by specifying position of extreme points and position of control point.

Method Summary

Methods
Modifier and Type	Method and Description
`GeneralPath`	`appendPath(GeneralPath path)` Append the path of the curve to the given path.
`CurveSet2D<? extends QuadBezierCurve2D>`	`clip(Box2D box)` Clip the circle arc by a box.
`QuadBezierCurve2D`	`clone()` Overrides Object declaration to ensure Curve2D implementation are cloned as Curve2D.
`boolean`	`contains(double x, double y)` Checks if the shape contains the planar point defined by (x,y).
`boolean`	`contains(Point2D p)` Checks if the shape contains the given point.
`static QuadBezierCurve2D`	`create(Point2D p1, Point2D p2, Point2D p3)` Static factory for creating a new Quadratic Bezier curve from 3 points.
`boolean`	`equals(Object obj)`
`Box2D`	`getBoundingBox()` Returns the bounding box of the shape.
`Point2D`	`getControl()`
`Point2D`	`getCtrl()`
`double`	`getCurvature(double t)` returns the curvature of the Curve.
`double`	`getDistance(double x, double y)` Compute approximated distance, computed on a polyline.
`double`	`getDistance(Point2D p)` get the distance of the shape to the given point, or the distance of point to the frontier of the shape in the case of a plain shape.
`Point2D`	`getFirstPoint()` Get the first point of the curve.
`GeneralPath`	`getGeneralPath()`
`Collection<Point2D>`	`getIntersections(LinearShape2D line)` Use approximation, by replacing Bezier curve with a polyline.
`Point2D`	`getLastPoint()` Get the last point of the curve.
`Point2D`	`getP1()`
`Point2D`	`getP2()`
`double[][]`	`getParametric()` Returns the matrix of parametric representation of the line.
`Point2D`	`getPoint(double t)` Gets the point from a parametric representation of the curve.
`double`	`getPosition(Point2D point)` Compute position by approximating cubic spline with a polyline.
`QuadBezierCurve2D`	`getReverseCurve()` Returns the bezier curve given by control points taken in reverse order.
`double`	`getSignedDistance(double x, double y)` The same as getSignedDistance(Point2D), but by passing 2 double as arguments.
`double`	`getSignedDistance(Point2D point)` Get the signed distance of the curve to the given point: this distance is positive if the point lies outside the shape, and is negative if the point lies inside the shape.
`QuadBezierCurve2D`	`getSubCurve(double t0, double t1)` Computes portion of BezierCurve.
`double`	`getT0()` Returns 0, as Bezier curve is parametrized between 0 and 1.
`double`	`getT1()` Returns 1, as Bezier curve is parametrized between 0 and 1.
`Vector2D`	`getTangent(double t)`
`double`	`getWindingAngle(Point2D point)` Use winding angle of approximated polyline
`boolean`	`isBounded()` return true, a cubic Bezier Curve is always bounded.
`boolean`	`isClosed()` The cubic curve is never closed.
`boolean`	`isEmpty()` Returns true if the shape does not contain any point.
`boolean`	`isInside(Point2D pt)` return true if the point is 'inside' the domain bounded by the curve.
`double`	`project(Point2D point)` Compute position by approximating cubic spline with a polyline.
`QuadBezierCurve2D`	`transform(AffineTransform2D trans)` Returns the Bezier Curve transformed by the given AffineTransform2D.

Methods inherited from class math.geom2d.curve.AbstractSmoothCurve2D
getLeftTangent, getRightTangent, getSingularPoints, getSmoothPieces, isSingular

Methods inherited from class math.geom2d.curve.AbstractContinuousCurve2D
draw, getAsAWTShape, getAsPolyline, getContinuousCurves, wrapCurve

Methods inherited from class java.lang.Object
finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Methods inherited from interface math.geom2d.curve.ContinuousCurve2D
getAsPolyline, getLeftTangent, getRightTangent, getSmoothPieces

Methods inherited from interface math.geom2d.curve.Curve2D
draw, getAsAWTShape, getContinuousCurves, getSingularPoints, isSingular

- Field Detail
  - x1
```
protected double x1
```
  - y1
```
protected double y1
```
  - ctrlx
```
protected double ctrlx
```
  - ctrly
```
protected double ctrly
```
  - x2
```
protected double x2
```
  - y2
```
protected double y2
```
- Constructor Detail
  - QuadBezierCurve2D
```
public QuadBezierCurve2D()
```
  - QuadBezierCurve2D
```
public QuadBezierCurve2D(double[][] coefs)
```
    Build a new Bezier curve from its array of coefficients. The array must have size 2*3.
    
    Parameters:
    coefs - the coefficients of the QuadBezierCurve2D.
  - QuadBezierCurve2D
```
public QuadBezierCurve2D(Point2D p1,
                 Point2D ctrl,
                 Point2D p2)
```
    Build a new quadratic Bezier curve by specifying position of extreme points and position of control point. The resulting curve is totally contained in the convex polygon formed by the 3 control points.
    
    Parameters:
    p1 - first point
    ctrl - control point
    p2 - last point
  - QuadBezierCurve2D
```
public QuadBezierCurve2D(Point2D[] pts)
```
  - QuadBezierCurve2D
```
public QuadBezierCurve2D(double x1,
                 double y1,
                 double xctrl,
                 double yctrl,
                 double x2,
                 double y2)
```
    Build a new quadratic Bezier curve by specifying position of extreme points and position of control point. The resulting curve is totally contained in the convex polygon formed by the 3 control points.
- Method Detail
  - create
```
public static QuadBezierCurve2D create(Point2D p1,
                       Point2D p2,
                       Point2D p3)
```
    Static factory for creating a new Quadratic Bezier curve from 3 points.
    
    Since:
    
    0.8.1
  - getControl
```
public Point2D getControl()
```
  - getP1
```
public Point2D getP1()
```
  - getP2
```
public Point2D getP2()
```
  - getCtrl
```
public Point2D getCtrl()
```
  - getParametric
```
public double[][] getParametric()
```
    Returns the matrix of parametric representation of the line. Result is a 2x3 array with coefficients:
    [ cx0 cx1 cx2]
    [ cy0 cy1 cy2]
    Coefficients are from the parametric equation : x(t) = cx0 + cx1*t + cx2*t^2 y(t) = cy0 + cy1*t + cy2*t^2
  - getWindingAngle
```
public double getWindingAngle(Point2D point)
```
    Use winding angle of approximated polyline
    
    Specified by:
    
    getWindingAngle in interface OrientedCurve2D
    
    Parameters:
    point - a point of the plane
    
    Returns:
    a signed angle
    See Also:
    OrientedCurve2D.getWindingAngle(java.awt.geom.Point2D)
  - isInside
```
public boolean isInside(Point2D pt)
```
    return true if the point is 'inside' the domain bounded by the curve. Uses a polyline approximation.
    
    Specified by:
    
    isInside in interface OrientedCurve2D
    
    Parameters:
    pt - a point in the plane
    
    Returns:
    true if the point is on the left side of the curve.
  - getSignedDistance
```
public double getSignedDistance(Point2D point)
```
    Description copied from interface: OrientedCurve2D
    
    Get the signed distance of the curve to the given point: this distance is positive if the point lies outside the shape, and is negative if the point lies inside the shape. In this case, absolute value of distance is equals to the distance to the border of the shape.
    
    Specified by:
    
    getSignedDistance in interface OrientedCurve2D
    
    Parameters:
    point - a point of the plane
    
    Returns:
    the signed distance to the curve
  - getSignedDistance
```
public double getSignedDistance(double x,
                       double y)
```
    Description copied from interface: OrientedCurve2D
    
    The same as getSignedDistance(Point2D), but by passing 2 double as arguments.
    
    Specified by:
    
    getSignedDistance in interface OrientedCurve2D
    
    Parameters:
    x - x-coord of a point
    y - y-coord of a point
    
    Returns:
    the signed distance of the point (x,y) to the curve
    See Also:
    OrientedCurve2D.getSignedDistance(java.awt.geom.Point2D)
  - getTangent
```
public Vector2D getTangent(double t)
```
    Specified by:
    
    getTangent in interface SmoothCurve2D
  - getCurvature
```
public double getCurvature(double t)
```
    returns the curvature of the Curve.
    
    Specified by:
    
    getCurvature in interface SmoothCurve2D
  - isClosed
```
public boolean isClosed()
```
    The cubic curve is never closed.
    
    Specified by:
    
    isClosed in interface ContinuousCurve2D
  - getT0
```
public double getT0()
```
    Returns 0, as Bezier curve is parametrized between 0 and 1.
    
    Specified by:
    
    getT0 in interface Curve2D
  - getT1
```
public double getT1()
```
    Returns 1, as Bezier curve is parametrized between 0 and 1.
    
    Specified by:
    
    getT1 in interface Curve2D
  - getIntersections
```
public Collection<Point2D> getIntersections(LinearShape2D line)
```
    Use approximation, by replacing Bezier curve with a polyline.
    
    Specified by:
    
    getIntersections in interface Curve2D
    
    See Also:
    Curve2D.getIntersections(math.geom2d.line.LinearShape2D)
  - getPoint
```
public Point2D getPoint(double t)
```
    Description copied from interface: Curve2D
    
    Gets the point from a parametric representation of the curve. If the parameter lies outside the definition range, the parameter corresponding to the closest bound is used instead. This method can be used to draw an approximated outline of a curve, by selecting multiple values for t and drawing lines between them.
    
    Specified by:
    
    getPoint in interface Curve2D
    
    See Also:
    Curve2D.getPoint(double)
  - getFirstPoint
```
public Point2D getFirstPoint()
```
    Get the first point of the curve.
    
    Specified by:
    
    getFirstPoint in interface Curve2D
    
    Overrides:
    
    getFirstPoint in class AbstractContinuousCurve2D
    
    Returns:
    the first point of the curve
  - getLastPoint
```
public Point2D getLastPoint()
```
    Get the last point of the curve.
    
    Specified by:
    
    getLastPoint in interface Curve2D
    
    Overrides:
    
    getLastPoint in class AbstractContinuousCurve2D
    
    Returns:
    the last point of the curve.
  - getPosition
```
public double getPosition(Point2D point)
```
    Compute position by approximating cubic spline with a polyline.
    
    Specified by:
    
    getPosition in interface Curve2D
    
    Parameters:
    point - a point belonging to the curve
    
    Returns:
    the position of the point on the curve
  - project
```
public double project(Point2D point)
```
    Compute position by approximating cubic spline with a polyline.
    
    Specified by:
    
    project in interface Curve2D
    
    Parameters:
    point - a point to project
    
    Returns:
    the position of the closest orthogonal projection
  - getReverseCurve
```
public QuadBezierCurve2D getReverseCurve()
```
    Returns the bezier curve given by control points taken in reverse order.
    
    Specified by:
    
    getReverseCurve in interface ContinuousCurve2D
    
    Specified by:
    
    getReverseCurve in interface Curve2D
    
    Specified by:
    
    getReverseCurve in interface SmoothCurve2D
    
    Specified by:
    
    getReverseCurve in interface ContinuousOrientedCurve2D
    
    Specified by:
    
    getReverseCurve in interface OrientedCurve2D
  - getSubCurve
```
public QuadBezierCurve2D getSubCurve(double t0,
                            double t1)
```
    Computes portion of BezierCurve. If t1
    
    Specified by:
    
    getSubCurve in interface ContinuousCurve2D
    
    Specified by:
    
    getSubCurve in interface Curve2D
    
    Specified by:
    
    getSubCurve in interface SmoothCurve2D
    
    Specified by:
    
    getSubCurve in interface ContinuousOrientedCurve2D
    
    Parameters:
    t0 - position of the start of the sub-curve
    t1 - position of the end of the sub-curve
    
    Returns:
    the portion of original curve comprised between t0 and t1.
  - contains
```
public boolean contains(double x,
               double y)
```
    Description copied from interface: Shape2D
    
    Checks if the shape contains the planar point defined by (x,y).
    
    Specified by:
    
    contains in interface Shape2D
  - contains
```
public boolean contains(Point2D p)
```
    Description copied from interface: Shape2D
    
    Checks if the shape contains the given point.
    
    Specified by:
    
    contains in interface Shape2D
  - getDistance
```
public double getDistance(Point2D p)
```
    Description copied from interface: Shape2D
    
    get the distance of the shape to the given point, or the distance of point to the frontier of the shape in the case of a plain shape.
    
    Specified by:
    
    getDistance in interface Shape2D
    
    See Also:
    Shape2D.getDistance(java.awt.geom.Point2D)
  - getDistance
```
public double getDistance(double x,
                 double y)
```
    Compute approximated distance, computed on a polyline.
    
    Specified by:
    
    getDistance in interface Shape2D
    
    See Also:
    Shape2D.getDistance(double, double)
  - isBounded
```
public boolean isBounded()
```
    return true, a cubic Bezier Curve is always bounded.
    
    Specified by:
    
    isBounded in interface Shape2D
  - isEmpty
```
public boolean isEmpty()
```
    Description copied from interface: Shape2D
    
    Returns true if the shape does not contain any point. This is the case for example for PointSet2D without any point.
    
    Specified by:
    
    isEmpty in interface Shape2D
    
    Returns:
    true if the shape does not contain any point.
  - clip
```
public CurveSet2D<? extends QuadBezierCurve2D> clip(Box2D box)
```
    Clip the circle arc by a box. The result is an instance of ContinuousOrientedCurveSet2D, which contains only instances of EllipseArc2D. If the ellipse arc is not clipped, the result is an instance of ContinuousOrientedCurveSet2D which contains 0 curves.
    
    Specified by:
    
    clip in interface ContinuousCurve2D
    
    Specified by:
    
    clip in interface Curve2D
    
    Specified by:
    
    clip in interface SmoothCurve2D
    
    Specified by:
    
    clip in interface ContinuousOrientedCurve2D
    
    Specified by:
    
    clip in interface OrientedCurve2D
    
    Specified by:
    
    clip in interface Shape2D
    
    Parameters:
    box - the clipping box
    
    Returns:
    the clipped shape
  - getBoundingBox
```
public Box2D getBoundingBox()
```
    Description copied from interface: Shape2D
    
    Returns the bounding box of the shape.
    
    Specified by:
    
    getBoundingBox in interface Shape2D
    
    Returns:
    the bounding box of the shape.
  - transform
```
public QuadBezierCurve2D transform(AffineTransform2D trans)
```
    Returns the Bezier Curve transformed by the given AffineTransform2D. This is simply done by transforming control points of the curve.
    
    Specified by:
    
    transform in interface ContinuousCurve2D
    
    Specified by:
    
    transform in interface Curve2D
    
    Specified by:
    
    transform in interface SmoothCurve2D
    
    Specified by:
    
    transform in interface ContinuousOrientedCurve2D
    
    Specified by:
    
    transform in interface OrientedCurve2D
    
    Specified by:
    
    transform in interface Shape2D
    
    Parameters:
    trans - an affine transform
    
    Returns:
    the transformed shape
  - appendPath
```
public GeneralPath appendPath(GeneralPath path)
```
    Description copied from interface: ContinuousCurve2D
    
    Append the path of the curve to the given path.
    
    Specified by:
    
    appendPath in interface ContinuousCurve2D
    
    Parameters:
    path - a path to modify
    
    Returns:
    the modified path
  - getGeneralPath
```
public GeneralPath getGeneralPath()
```
  - equals
```
public boolean equals(Object obj)
```
    Overrides:
    
    equals in class Object
  - clone
```
public QuadBezierCurve2D clone()
```
    Description copied from interface: Curve2D
    
    Overrides Object declaration to ensure Curve2D implementation are cloned as Curve2D.
    
    Specified by:
    
    clone in interface Curve2D
    
    Specified by:
    
    clone in class AbstractSmoothCurve2D
    
    Returns:
    the cloned curve

Class QuadBezierCurve2D

Field Summary

Fields inherited from interface math.geom2d.Shape2D

Constructor Summary

Method Summary

Methods inherited from class math.geom2d.curve.AbstractSmoothCurve2D

Methods inherited from class math.geom2d.curve.AbstractContinuousCurve2D

Methods inherited from class java.lang.Object

Methods inherited from interface math.geom2d.curve.ContinuousCurve2D

Methods inherited from interface math.geom2d.curve.Curve2D

Field Detail

x1

y1

ctrlx

ctrly

x2

y2

Constructor Detail

QuadBezierCurve2D

QuadBezierCurve2D

QuadBezierCurve2D

QuadBezierCurve2D

QuadBezierCurve2D

Method Detail

create

getControl

getP1

getP2

getCtrl

getParametric

getWindingAngle

isInside

getSignedDistance

getSignedDistance

getTangent

getCurvature

isClosed

getT0

getT1

getIntersections

getPoint

getFirstPoint

getLastPoint

getPosition

project

getReverseCurve

getSubCurve

contains

contains

getDistance

getDistance

isBounded

isEmpty

clip

getBoundingBox

transform

appendPath

getGeneralPath

equals

clone