BezierCurve3d Class

3d Bezier curve class.

  • Use BezierCurve3dH if the curve has weights.
  • The control points (xyz) are managed as the _packedData buffer in the _polygon member of BezierCurveBase.

Extends

Methods

Name Description
clone(): BezierCurve3d Clone as a bezier 3d.  
copyPointsAsLineString(): LineString3d Return poles as a linestring  
dispatchToGeometryHandler(handler: GeometryHandler): any Second step of double dispatch: call handler.handleBezierCurve3d(this)  
extendRange(rangeToExtend: Range3d, transform?: Transform): void Extend rangeToExtend, using candidate extrema at  
fractionToPoint(fraction: number, result?: Point3d): Point3d Return a (de-weighted) point on the curve.  
fractionToPointAnd2Derivatives(fraction: number, result?: Plane3dByOriginAndVectors): Plane3dByOriginAndVectors Construct a plane with  
fractionToPointAndDerivative(fraction: number, result?: Ray3d): Ray3d Return the cartesian point and derivative vector.  
getPolePoint3d(i: number, result?: Point3d): undefined | Point3d Return a specific pole as a full [x,y,z] Point3d  
getPolePoint4d(i: number, result?: Point4d): undefined | Point4d Return a specific pole as a full [w*x,w*y,w*z, w] Point4d  
isAlmostEqual(other: any): boolean Near-equality test on poles.  
isSameGeometryClass(other: any): boolean test if other is also a BezierCurve3d.  
loadSpanPoles(data: Float64Array, spanIndex: number): void Load order * 3 doubles from data[3 * spanIndex] as poles  
tryTransformInPlace(transform: Transform): boolean apply the transform to the control points.  
create(data: Point3d[] | Point2d[]): undefined | BezierCurve3d Static Create a curve with given points.  
createOrder(order: number): BezierCurve3d Static create a bezier curve of specified order, filled with zeros  

Inherited methods

Name Inherited from Description
addMappedStrokesToLineString3D(map: StrokeCountMap, linestring: LineString3d): number Inherited BezierCurveBase Evaluate strokes at fractions indicated in a StrokeCountMap.
allocateAndZeroBezierWorkData(primaryBezierOrder: number, orderA: number, orderB: number): void Protected Inherited BezierCurveBase set up the _workBezier members with specific order.
announceClipIntervals(_clipper: Clipper, _announce?: AnnounceNumberNumberCurvePrimitive): boolean Inherited BezierCurveBase Find intervals of this curvePrimitive that are interior to a clipper
appendPlaneIntersectionPoints(plane: PlaneAltitudeEvaluator, result: CurveLocationDetail[]): number Inherited BezierCurveBase Compute intersections of the curve with a plane.
clonePartialCurve(fractionA: number, fractionB: number): BezierCurveBase Inherited BezierCurveBase Return a curve primitive which is a portion of this curve.
cloneTransformed(transform: Transform): BezierCurveBase Inherited BezierCurveBase Return a transformed deep clone.
closestPoint(spacePoint: Point3d, extend: VariantCurveExtendParameter, result?: CurveLocationDetail): undefined | CurveLocationDetail Inherited BezierCurveBase Search for a point on the curve that is closest to the spacePoint.
collectCurvePrimitives(collectorArray?: CurvePrimitive[], smallestPossiblePrimitives: booleanfalse, explodeLinestrings: booleanfalse): CurvePrimitive[] Inherited BezierCurveBase Return an array containing only the curve primitives.
collectCurvePrimitivesGo(collectorArray: CurvePrimitive[], _smallestPossiblePrimitives: boolean, _explodeLinestrings: booleanfalse): void Inherited BezierCurveBase Return an array containing only the curve primitives.
computeAndAttachRecursiveStrokeCounts(options?: StrokeOptions, parentMap?: StrokeCountMap): void Inherited BezierCurveBase Attach StrokeCountMap structure to this primitive (and recursively to any children)
computeStrokeCountForOptions(options?: StrokeOptions): number Inherited BezierCurveBase Assess length and turn to determine a stroke count.
constructOffsetXY(offsetDistanceOrOptions: number | OffsetOptions): undefined | CurvePrimitive | CurvePrimitive[] Inherited BezierCurveBase Construct an offset of the instance curve as viewed in the xy-plane (ignoring z).
copyPolesAsJsonArray(): any[] Inherited BezierCurveBase Return a simple array of arrays with the control points as [[x,y,z],[x,y,z],..]
curveLength(): number Inherited BezierCurveBase Return the length of the curve.
curveLengthBetweenFractions(fraction0: number, fraction1: number): number Inherited BezierCurveBase Returns a (high accuracy) length of the curve between fractional positions.
curveLengthWithFixedIntervalCountQuadrature(fraction0: number, fraction1: number, numInterval: number, numGauss: number5): number Inherited BezierCurveBase Run an integration (with a default Gaussian quadrature) with a fixed fractional step
emitStrokableParts(handler: IStrokeHandler, _options?: StrokeOptions): void Inherited BezierCurveBase announce intervals with stroke counts
emitStrokes(dest: LineString3d, options?: StrokeOptions): void Inherited BezierCurveBase append stroke points to a linestring, based on strokeCount and fractionToPoint from derived class
endPoint(): Point3d Inherited BezierCurveBase Return the end point.
fractionAndDistanceToPointOnTangent(fraction: number, distance: number): Point3d Inherited BezierCurveBase Construct a point extrapolated along tangent at fraction.
fractionToCurvature(fraction: number): undefined | number Inherited BezierCurveBase Returns the (absolute) curvature magnitude.
fractionToFrenetFrame(fraction: number, result?: Transform): undefined | Transform Inherited BezierCurveBase Construct a frenet frame:
fractionToParentFraction(fraction: number): number Inherited BezierCurveBase map fraction from this Bezier curves inherent 0..1 range to the (a,b) range of parent
fractionToPointAndUnitTangent(fraction: number, result?: Ray3d): Ray3d Inherited BezierCurveBase Returns a ray whose origin is the curve point and direction is the unit tangent.
fractionToSignedXYRadiusOfCurvature(fraction: number): number Inherited BezierCurveBase Construct signed distance from a point on the planar curve to its center of curvature (in xy only).
getFractionToDistanceScale(): undefined | number Inherited BezierCurveBase If the curve primitive has distance-along-curve strictly proportional to curve fraction, return the scale factor.
isInPlane(plane: Plane3dByOriginAndUnitNormal): boolean Inherited BezierCurveBase return true if all poles are on a plane.
moveSignedDistanceFromFraction(startFraction: number, signedDistance: number, allowExtension: boolean, result?: CurveLocationDetail): CurveLocationDetail Inherited BezierCurveBase (Attempt to) find a position on the curve at a signed distance from start fraction.
moveSignedDistanceFromFractionGeneric(startFraction: number, signedDistance: number, allowExtension: boolean, result?: CurveLocationDetail): CurveLocationDetail Protected Inherited BezierCurveBase Generic algorithm to search for point at signed distance from a fractional startPoint.
polygonLength(): number Inherited BezierCurveBase Return the length of the control polygon.
projectedParameterRange(ray: Vector3d | Ray3d, lowHigh?: Range1d): undefined | Range1d Inherited BezierCurveBase Project instance geometry (via dispatch) onto the given ray, and return the extreme fractional parameters of projection.
quickLength(): number Inherited BezierCurveBase Return the control polygon length as a quick length estimate.
range(transform?: Transform, result?: Range3d): Range3d Inherited BezierCurveBase Return the range of the entire GeometryQuery tree.
rangeBetweenFractions(fraction0: number, fraction1: number, transform?: Transform): Range3d Inherited BezierCurveBase Returns a (high accuracy) range of the curve between fractional positions
rangeBetweenFractionsByClone(fraction0: number, fraction1: number, transform?: Transform): Range3d Inherited BezierCurveBase Returns a (high accuracy) range of the curve between fractional positions
rangeBetweenFractionsByCount(fraction0: number, fraction1: number, count: number, transform?: Transform, extrapolationFactor: number0.0): Range3d Inherited BezierCurveBase Returns an approximate range based on a fixed number of evaluations
reverseInPlace(): void Inherited BezierCurveBase reverse the poles in place
saturateInPlace(knotVector: KnotVector, spanIndex: number): boolean Inherited BezierCurveBase saturate the pole in place, using knot intervals from spanIndex of the knotVector
setInterval(a: number, b: number): void Inherited BezierCurveBase Set mapping to parent curve (e.g.
startPoint(): Point3d Inherited BezierCurveBase Return the start point.
tryTranslateInPlace(dx: number, dy: number0.0, dz: number0.0): boolean Inherited BezierCurveBase Try to move the geometry by dx,dy,dz.
areAlmostEqual(a: GeometryQuery, b: GeometryQuery): boolean Static Inherited BezierCurveBase Apply instance method isAlmostEqual if both are defined.
installStrokeCountMap(curve: CurvePrimitive, curveMap: StrokeCountMap, parentMap?: StrokeCountMap): void Static Inherited BezierCurveBase Final install step to save curveMap in curve.

Inherited properties

Name Type Inherited from Description
_polygon Protected Inherited Bezier1dNd BezierCurveBase Control points
_workCoffsA Protected Inherited Float64Array | undefined BezierCurveBase scratch array for use by derived classes, using allocateAndZeroBezierWorkData for sizing.
_workCoffsB Protected Inherited Float64Array | undefined BezierCurveBase scratch array for use by derived classes, using allocateAndZeroBezierWorkData for sizing.
_workData0 Protected Inherited Float64Array BezierCurveBase scratch data blocks accessible by concrete class.
_workData1 Protected Inherited Float64Array BezierCurveBase scratch data blocks accessible by concrete class.
_workPoint0 Protected Inherited Point3d BezierCurveBase Scratch xyz point accessible by derived classes.
_workPoint1 Protected Inherited Point3d BezierCurveBase Scratch xyz point accessible by derived classes.
children Accessor Inherited ReadOnly undefined | GeometryQuery[] BezierCurveBase Return GeometryQuery children for recursive queries.
* leaf classes do not need to implement.
curvePrimitiveType Readonly Inherited "bezierCurve" BezierCurveBase String name for schema properties
degree Accessor Inherited ReadOnly number BezierCurveBase (property accessor) Return the polynomial degree (one less than order)
geometryCategory Readonly Inherited "curvePrimitive" BezierCurveBase String name for schema properties
isExtensibleFractionSpace Accessor Inherited ReadOnly boolean BezierCurveBase * Returns true if the curve can be easily extended past its start/end point (i.e., beyond the usual
fraction space [0,1]). Otherwise, returns false.
* Base class default implementation returns false.
* These classes (and perhaps others in the future) will return true:
* LineSegment3d
* LineString3d
* Arc3d
numPoles Accessor Inherited ReadOnly number BezierCurveBase (property accessor) Return the number of poles (aka control points)
order Accessor Inherited ReadOnly number BezierCurveBase (property accessor) Return the polynomial order
parent Inherited any | undefined BezierCurveBase Data attached by various algorithms (e.g.
strokeData Inherited StrokeCountMap | undefined BezierCurveBase Data attached during stroking for facets.

Defined in

Last Updated: 14 November, 2024