Class QuadraticBezier

Represents a 2D Bézier curve.

Note: Many Bézier operations use bezier-js's.

Hierarchy

BezierJSWrapper
- QuadraticBezier

Constructors

constructor

new QuadraticBezier(p0, p1, p2): QuadraticBezier
Parameters
- p0: Vec3
- p1: Vec3
- p2: Vec3
Returns QuadraticBezier
Overrides BezierJSWrapper.constructor
- Defined in shapes/QuadraticBezier.ts:12

Properties

Methods

approximateDistance

approximateDistance(point): number
Parameters
- point: Vec3
Returns number
the approximate distance from point to this curve.
- Defined in shapes/QuadraticBezier.ts:87

argIntersectsLineSegment

argIntersectsLineSegment(line): number[]
Returns the parameter values at which lineSegment intersects this shape.

See also intersectsLineSegment
Parameters
- line: LineSegment2
Returns number[]
Inherited from BezierJSWrapper.argIntersectsLineSegment
- Defined in shapes/BezierJSWrapper.ts:89

at

at(t): Vec3
Parameters
- t: number
Returns Vec3
the curve evaluated at t.

t should be a number in [0, 1].
Overrides BezierJSWrapper.at
- Defined in shapes/QuadraticBezier.ts:41

containsPoint

containsPoint(point, epsilon?): boolean
Returns true if and only if the given point is contained within this shape.

epsilon is a small number used to counteract floating point error. Thus, if point is within epsilon of the inside of this shape, containsPoint may also return true.

The default implementation relies on signedDistance. Subclasses may override this method to provide a more efficient implementation.
Parameters
- point: Vec3
- epsilon: number = Abstract2DShape.smallValue
Returns boolean
Inherited from BezierJSWrapper.containsPoint
- Defined in shapes/Abstract2DShape.ts:46

derivativeAt

derivativeAt(t): Vec3
Parameters
- t: number
Returns Vec3
Overrides BezierJSWrapper.derivativeAt
- Defined in shapes/QuadraticBezier.ts:54

distance

distance(point): number
Parameters
- point: Vec3
Returns number
the (more) exact distance from point to this.

See
approximateDistance
Inherited from BezierJSWrapper.distance
- Defined in shapes/BezierJSWrapper.ts:49

`Protected`getBezier

getBezier(): Bezier
Returns Bezier
Inherited from BezierJSWrapper.getBezier
- Defined in shapes/BezierJSWrapper.ts:32

getLooseBoundingBox

getLooseBoundingBox(): Rect2
Returns Rect2
an overestimate of this shape's bounding box.
Overrides BezierJSWrapper.getLooseBoundingBox
- Defined in shapes/QuadraticBezier.ts:80

getPoints

getPoints(): Vec3[]
Returns the start, control points, and end point of this Bézier.

Returns Vec3[]
Overrides BezierJSWrapper.getPoints
- Defined in shapes/QuadraticBezier.ts:155

getTightBoundingBox

getTightBoundingBox(): Rect2
Returns a bounding box that precisely fits the content of this shape.

Note: This bounding box should aligned with the x/y axes. (Thus, it may be possible to find a tighter bounding box not axes-aligned).

Returns Rect2
Inherited from BezierJSWrapper.getTightBoundingBox
- Defined in shapes/BezierJSWrapper.ts:81

intersectsBezier

intersectsBezier(other): {
parameterValue: number;
point: Vec3;
}[]
Parameters
- other: BezierJSWrapper
Returns {
parameterValue: number;
point: Vec3;
}[]
Inherited from BezierJSWrapper.intersectsBezier
- Defined in shapes/BezierJSWrapper.ts:228

intersectsLineSegment

intersectsLineSegment(line): Vec3[]
Parameters
- line: LineSegment2
Returns Vec3[]
points at which this shape intersects the given lineSegment.

If this is a closed shape, returns points where the given lineSegment intersects the boundary of this.
Inherited from BezierJSWrapper.intersectsLineSegment
- Defined in shapes/Parameterized2DShape.ts:39

nearestPointTo

nearestPointTo(point): {
parameterValue: number;
point: Vec3;
}
Returns the nearest point on this to point and the parameterValue at which that point occurs.
Parameters
- point: Vec3
Returns {
parameterValue: number;
point: Vec3;
}
- parameterValue: number
- point: Vec3
Inherited from BezierJSWrapper.nearestPointTo
- Defined in shapes/BezierJSWrapper.ts:137

normal

normal(t): Vec3
Parameters
- t: number
Returns Vec3
Overrides BezierJSWrapper.normal
- Defined in shapes/QuadraticBezier.ts:74

normalAt

normalAt(t): Vec3
Computes the unit normal vector at $t$ .
Parameters
- t: number
Returns Vec3
Inherited from BezierJSWrapper.normalAt
- Defined in shapes/BezierJSWrapper.ts:73

secondDerivativeAt

secondDerivativeAt(t): Vec3
Parameters
- t: number
Returns Vec3
Overrides BezierJSWrapper.secondDerivativeAt
- Defined in shapes/QuadraticBezier.ts:64

signedDistance

signedDistance(point): number
Computes the signed distance function for this shape.
Parameters
- point: Vec3
Returns number
Inherited from BezierJSWrapper.signedDistance
- Defined in shapes/BezierJSWrapper.ts:39

splitAt

splitAt(t): [BezierJSWrapper] | [BezierJSWrapper, BezierJSWrapper]
Divides this shape into two separate shapes at parameter value $t$ .
Parameters
- t: number
Returns [BezierJSWrapper] | [BezierJSWrapper, BezierJSWrapper]
Inherited from BezierJSWrapper.splitAt
- Defined in shapes/BezierJSWrapper.ts:124

tangentAt

tangentAt(t): Vec3
Parameters
- t: number
Returns Vec3
Inherited from BezierJSWrapper.tangentAt
- Defined in shapes/BezierJSWrapper.ts:77

toString

toString(): string
Returns a string representation of an object.

Returns string
Inherited from BezierJSWrapper.toString
- Defined in shapes/BezierJSWrapper.ts:255

Class QuadraticBezier

Hierarchy

Index

Constructors

Properties

Methods

Constructors

constructor

Parameters

Returns QuadraticBezier

Properties

Readonlyp0

Readonlyp1

Readonlyp2

Methods

approximateDistance

Parameters

Returns number

argIntersectsLineSegment

Parameters

Returns number[]

at

Parameters

Returns Vec3

containsPoint

Parameters

Returns boolean

derivativeAt

Parameters

Returns Vec3

distance

Parameters

Returns number

See

ProtectedgetBezier

Returns Bezier

getLooseBoundingBox

Returns Rect2

getPoints

Returns Vec3[]

getTightBoundingBox

Returns Rect2

intersectsBezier

Parameters

Returns { parameterValue: number; point: Vec3; }[]

intersectsLineSegment

Parameters

Returns Vec3[]

nearestPointTo

Parameters

Returns { parameterValue: number; point: Vec3; }

parameterValue: number

point: Vec3

normal

Parameters

Returns Vec3

normalAt

Parameters

Returns Vec3

secondDerivativeAt

Parameters

Returns Vec3

signedDistance

Parameters

Returns number

splitAt

Parameters

Returns [BezierJSWrapper] | [BezierJSWrapper, BezierJSWrapper]

tangentAt

Parameters

Returns Vec3

toString

Returns string

Settings

On This Page

`Readonly`p0

`Readonly`p1

`Readonly`p2

`Protected`getBezier

Returns {
parameterValue: number;
point: Vec3;
}[]

Returns {
parameterValue: number;
point: Vec3;
}