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) |
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| extendRange(rangeToExtend: Range3d, transform?: Transform): void | Extend rangeToExtend, using candidate extrema at |
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| 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 |
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| getPolePoint4d(i: number, result?: Point4d): undefined | Point4d | Return a specific pole as a full [w*x,w*y,w*z, w] Point4d |
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| isAlmostEqual(other: any): boolean | Near-equality test on poles. | |
| isSameGeometryClass(other: any): boolean | test if other is also a BezierCurve3d. |
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| 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 | BezierCurveBase | * evaluate strokes at fractions indicated in a StrokeCountMap. |
| allocateAndZeroBezierWorkData(primaryBezierOrder: number, orderA: number, orderB: number): void Protected | BezierCurveBase | set up the _workBezier members with specific order. |
| announceClipIntervals(_clipper: Clipper, _announce?: AnnounceNumberNumberCurvePrimitive): boolean | BezierCurveBase | Find intervals of this curvePrimitive that are interior to a clipper |
| appendPlaneIntersectionPoints(plane: PlaneAltitudeEvaluator, result: CurveLocationDetail[]): number | BezierCurveBase | Compute intersections with a plane. |
| clonePartialCurve(fractionA: number, fractionB: number): BezierCurveBase | BezierCurveBase | Return a curve primitive which is a portion of this curve. |
| cloneTransformed(transform: Transform): BezierCurveBase | BezierCurveBase | Return a transformed deep clone. |
| closestPoint(spacePoint: Point3d, extend: VariantCurveExtendParameter): undefined | CurveLocationDetail | BezierCurveBase | Search for the curve point that is closest to the spacePoint. |
| collectCurvePrimitives(collectorArray?: CurvePrimitive[], smallestPossiblePrimitives: boolean = false, explodeLinestrings: boolean = false): CurvePrimitive[] | BezierCurveBase | Return an array containing only the curve primitives. |
| collectCurvePrimitivesGo(collectorArray: CurvePrimitive[], _smallestPossiblePrimitives: boolean, _explodeLinestrings: boolean = false): void | BezierCurveBase | Return an array containing only the curve primitives. |
| computeAndAttachRecursiveStrokeCounts(options?: StrokeOptions, parentMap?: StrokeCountMap): void | BezierCurveBase | attach StrokeCountMap structure to this primitive (and recursively to any children) |
| computeStrokeCountForOptions(options?: StrokeOptions): number | BezierCurveBase | Assess length and turn to determine a stroke count. |
| constructOffsetXY(offsetDistanceOrOptions: number | OffsetOptions): undefined | CurvePrimitive | CurvePrimitive[] | BezierCurveBase | Construct an offset of the instance curve as viewed in the xy-plane (ignoring z). |
| copyPolesAsJsonArray(): any[] | BezierCurveBase | Return a simple array of arrays with the control points as [[x,y,z],[x,y,z],..] |
| curveLength(): number | BezierCurveBase | return the length of the curve. |
| curveLengthBetweenFractions(fraction0: number, fraction1: number): number | BezierCurveBase | Returns a (high accuracy) length of the curve between fractional positions |
| curveLengthWithFixedIntervalCountQuadrature(fraction0: number, fraction1: number, numInterval: number, numGauss: number = 5): number | BezierCurveBase | * Run an integration (with a default gaussian quadrature) with a fixed fractional step |
| emitStrokableParts(handler: IStrokeHandler, _options?: StrokeOptions): void | BezierCurveBase | announce intervals with stroke counts |
| emitStrokes(dest: LineString3d, options?: StrokeOptions): void | BezierCurveBase | append stroke points to a linestring, based on strokeCount and fractionToPoint from derived class |
| endPoint(): Point3d | BezierCurveBase | Return the end point. |
| fractionAndDistanceToPointOnTangent(fraction: number, distance: number): Point3d | BezierCurveBase | Construct a point extrapolated along tangent at fraction. |
| fractionToCurvature(fraction: number): undefined | number | BezierCurveBase | Returns the (absolute) curvature magnitude. |
| fractionToFrenetFrame(fraction: number, result?: Transform): undefined | Transform | BezierCurveBase | Construct a frenet frame: |
| fractionToParentFraction(fraction: number): number | BezierCurveBase | map fraction from this Bezier curves inherent 0..1 range to the (a,b) range of parent |
| fractionToPointAndUnitTangent(fraction: number, result?: Ray3d): Ray3d | BezierCurveBase | Returns a ray whose origin is the curve point and direction is the unit tangent. |
| fractionToSignedXYRadiusOfCurvature(fraction: number): number | BezierCurveBase | Construct signed distance from a point on the curve to its center of curvature (in xy only). |
| getFractionToDistanceScale(): undefined | number | BezierCurveBase | * If the curve primitive has distance-along-curve strictly proportional to curve fraction, return the scale factor. |
| isInPlane(plane: Plane3dByOriginAndUnitNormal): boolean | BezierCurveBase | return true if all poles are on a plane. |
| moveSignedDistanceFromFraction(startFraction: number, signedDistance: number, allowExtension: boolean, result?: CurveLocationDetail): CurveLocationDetail | 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 | BezierCurveBase | Generic algorithm to search for point at signed distance from a fractional startPoint. |
| polygonLength(): number | BezierCurveBase | Return the length of the control polygon. |
| projectedParameterRange(ray: Ray3d | Vector3d, lowHigh?: Range1d): undefined | Range1d | BezierCurveBase | Project instance geometry (via dispatch) onto the given ray, and return the extreme fractional parameters of projection. |
| quickLength(): number | BezierCurveBase | Return the control polygon length as a quick length estimate. |
| range(transform?: Transform, result?: Range3d): Range3d | BezierCurveBase | return the range of the entire (tree) GeometryQuery |
| rangeBetweenFractions(fraction0: number, fraction1: number, transform?: Transform): Range3d | BezierCurveBase | Returns a (high accuracy) range of the curve between fractional positions |
| rangeBetweenFractionsByClone(fraction0: number, fraction1: number, transform?: Transform): Range3d | BezierCurveBase | Returns a (high accuracy) range of the curve between fractional positions |
| rangeBetweenFractionsByCount(fraction0: number, fraction1: number, count: number, transform?: Transform, extrapolationFactor: number = 0.0): Range3d | BezierCurveBase | Returns an approximate range based on a fixed number of evaluations |
| reverseInPlace(): void | BezierCurveBase | reverse the poles in place |
| saturateInPlace(knotVector: KnotVector, spanIndex: number): boolean | BezierCurveBase | saturate the pole in place, using knot intervals from spanIndex of the knotVector |
| setInterval(a: number, b: number): void | BezierCurveBase | Set mapping to parent curve (e.g. |
| startPoint(): Point3d | BezierCurveBase | Return the start point. |
| tryTranslateInPlace(dx: number, dy: number = 0.0, dz: number = 0.0): boolean | BezierCurveBase | try to move the geometry by dx,dy,dz |
| areAlmostEqual(a: undefined | GeometryQuery, b: undefined | GeometryQuery): boolean Static | BezierCurveBase | apply instance method isAlmostEqual if both are defined. |
| installStrokeCountMap(curve: CurvePrimitive, curveMap: StrokeCountMap, parentMap?: StrokeCountMap): void Static | BezierCurveBase | final install step to save curveMap in curve. |
Inherited properties
| Name | Type | Inherited from | Description |
|---|---|---|---|
| _polygon Protected | Bezier1dNd | BezierCurveBase | Control points |
| _workCoffsA Protected | undefined | Float64Array | BezierCurveBase | scratch array for use by derived classes, using allocateAndZeroBezierWorkData for sizing. |
| _workCoffsB Protected | undefined | Float64Array | BezierCurveBase | scratch array for use by derived classes, using allocateAndZeroBezierWorkData for sizing. |
| _workData0 Protected | Float64Array | BezierCurveBase | scratch data blocks accessible by concrete class. |
| _workData1 Protected | Float64Array | BezierCurveBase | scratch data blocks accessible by concrete class. |
| _workPoint0 Protected | Point3d | BezierCurveBase | Scratch xyz point accessible by derived classes. |
| _workPoint1 Protected | Point3d | BezierCurveBase | Scratch xyz point accessible by derived classes. |
| children Accessor ReadOnly | undefined | GeometryQuery[] | BezierCurveBase | return GeometryQuery children for recursive queries. * leaf classes do not need to implement. |
| curvePrimitiveType Readonly | "bezierCurve" | BezierCurveBase | String name for schema properties |
| degree Accessor ReadOnly | number | BezierCurveBase | (property accessor) Return the polynomial degree (one less than order) |
| geometryCategory Readonly | "curvePrimitive" | BezierCurveBase | String name for schema properties |
| isExtensibleFractionSpace Accessor ReadOnly | boolean | BezierCurveBase | * Returns true if the curve's fraction queries extend beyond 0..1. * Base class default implementation returns false. * These class (and perhaps others in the future) will return true: * LineSegment3d * LineString3d * Arc3d |
| numPoles Accessor ReadOnly | number | BezierCurveBase | (property accessor) Return the number of poles (aka control points) |
| order Accessor ReadOnly | number | BezierCurveBase | (property accessor) Return the polynomial order |
| parent | undefined | any | BezierCurveBase | data attached by various algorithms (e.g. |
| strokeData | undefined | StrokeCountMap | BezierCurveBase | data attached during stroking for facets. |
Defined in
- bspline/BezierCurve3d.ts Line 30
Last Updated: 20 June, 2023