Class QuadraticBezier

Represents a 2D Bézier curve.

Example:

import { QuadraticBezier, Vec2 } from '@js-draw/math';

const startPoint = Vec2.of(4, 3);
const controlPoint = Vec2.of(1, 1);
const endPoint = Vec2.of(1, 3);

const curve = new QuadraticBezier(
  startPoint,
  controlPoint,
  endPoint,
);

console.log('Curve:', curve);

Note: Some Bézier operations internally use the bezier-js library.

Hierarchy

Constructors

constructor

Properties

p0 p1 p2

Methods

approximateDistance argIntersectsLineSegment at containsPoint derivativeAt distance getBezier getLooseBoundingBox getPoints getTightBoundingBox intersectsBezier intersectsLineSegment nearestPointTo normal normalAt secondDerivativeAt signedDistance splitAt tangentAt toString

Constructors

constructor

Properties

Readonlyp0

p0: Vec3

Start point

Readonlyp1

p1: Vec3

Control point

Readonlyp2

p2: Vec3

End point

Methods

approximateDistance

argIntersectsLineSegment

at

containsPoint

  • containsPoint(point: Vec3, epsilon?: number): 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

derivativeAt

distance

ProtectedgetBezier

getLooseBoundingBox

getPoints

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

intersectsBezier

intersectsLineSegment

  • intersectsLineSegment(line: LineSegment2): Vec3[]

  • Parameters

    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.

nearestPointTo

  • nearestPointTo(point: Vec3): { parameterValue: number; point: Vec3 }

  • Returns the nearest point on this to point and the parameterValue at which that point occurs.

    Parameters

    Returns { parameterValue: number; point: Vec3 }

normal

normalAt

secondDerivativeAt

signedDistance

splitAt

tangentAt

toString

  • toString(): string

  • Returns a string representation of an object.

    Returns string

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