API Reference > geometry-core > Bspline > BSplineCurve3d BSplineCurve3d Class A BSplineCurve3d is a bspline curve whose poles are Point3d. See BSplineCurve3dBase for description of knots, order, degree. Extends BSplineCurve3dBase Methods Name Description clone(): BSplineCurve3d Return a deep clone cloneTransformed(transform: Transform): BSplineCurve3d Return a transformed deep clone. computeStrokeCountForOptions(options?: StrokeOptions): number Assess length and turn to determine a stroke count. copyKnots(includeExtraEndKnot: boolean): number[] return a simple array form of the knots. copyPoints(): any[] Return a simple array of arrays with the control points as [[x,y,z],[x,y,z],..] copyPointsFloat64Array(): Float64Array Return a simple array of the control points coordinates dispatchToGeometryHandler(handler: GeometryHandler): any Second step of double dispatch: call handler.handleBSplineCurve3d(this) emitStrokableParts(handler: IStrokeHandler, options?: StrokeOptions): void Emit beziers or strokes (selected by the stroke options) to the handler. emitStrokes(dest: LineString3d, options?: StrokeOptions): void Append strokes to a linestring. evaluatePointAndDerivativeInSpan(spanIndex: number, spanFraction: number): Ray3d Evaluate point and derivative vector at a position given by fractional position within a span. evaluatePointInSpan(spanIndex: number, spanFraction: number): Point3d Evaluate at a position given by fractional position within a span. extendRange(rangeToExtend: Range3d, transform?: Transform): void Extend a range so in includes the range of this curve fractionToPoint(fraction: number, result?: Point3d): Point3d Evaluate the curve point at a fractional of the entire knot range. fractionToPointAnd2Derivatives(fraction: number, result?: Plane3dByOriginAndVectors): Plane3dByOriginAndVectors Construct a plane with fractionToPointAndDerivative(fraction: number, result?: Ray3d): Ray3d Evaluate the curve point at a fractional of the entire knot range. getPolePoint3d(poleIndex: number, result?: Point3d): undefined | Point3d Get a pole as simple Point3d. getPolePoint4d(poleIndex: number, result?: Point4d): undefined | Point4d Get a pole as Point4d with weight 1 getSaturatedBezierSpan3d(spanIndex: number, result?: BezierCurveBase): undefined | BezierCurveBase Return a CurvePrimitive (which is a BezierCurve3d) for a specified span of this curve. getSaturatedBezierSpan3dH(spanIndex: number, result?: BezierCurveBase): undefined | BezierCurve3dH Return a CurvePrimitive (which is a BezierCurve3dH) for a specified span of this curve. getSaturatedBezierSpan3dOr3dH(spanIndex: number, prefer3dH: boolean, result?: BezierCurveBase): undefined | BezierCurveBase Return a BezierCurveBase for this curve. isAlmostEqual(other: any): boolean test if almost the same curve as other isInPlane(plane: Plane3dByOriginAndUnitNormal): boolean test if this curve is entirely within plane. isSameGeometryClass(other: any): boolean test of other is an instance of BSplineCurve3d knotToPoint(u: number, result?: Point3d): Point3d Evaluate at a position given by a knot value. knotToPointAnd2Derivatives(u: number, result?: Plane3dByOriginAndVectors): Plane3dByOriginAndVectors Evaluate at a position given by a knot value. knotToPointAndDerivative(u: number, result?: Ray3d): Ray3d Evaluate at a position given by a knot value. quickLength(): number Return the control polygon length as approximation (always overestimate) of the curve length. setWrappable(value: BSplineWrapMode): void Set the flag indicating the bspline might be suitable for having wrapped "closed" interpretation. spanFractionToKnot(span: number, localFraction: number): number Convert spanIndex and localFraction to a knot. tryTransformInPlace(transform: Transform): boolean Apply transform to the poles. create(poleArray: Point3d[] | Float64Array, knotArray: number[] | Float64Array, order: number): undefined | BSplineCurve3d Static Create a bspline with given knots. createFromAkimaCurve3dOptions(options: AkimaCurve3dOptions): undefined | BSplineCurve3d Static createFromInterpolationCurve3dOptions(options: InterpolationCurve3dOptions): undefined | BSplineCurve3d Static createThroughPoints(points: Point3d[] | IndexedXYZCollection, order: number): undefined | BSplineCurve3d Static createUniformKnots(poles: Point3d[] | Float64Array | GrowableXYZArray, order: number): undefined | BSplineCurve3d Static Create a bspline with uniform knots. Inherited methods Name Inherited from Description addMappedStrokesToLineString3D(map: StrokeCountMap, linestring: LineString3d): number BSplineCurve3dBase * evaluate strokes at fractions indicated in a StrokeCountMap. announceClipIntervals(_clipper: Clipper, _announce?: AnnounceNumberNumberCurvePrimitive): boolean BSplineCurve3dBase Find intervals of this curvePrimitive that are interior to a clipper appendPlaneIntersectionPoints(plane: PlaneAltitudeEvaluator, result: CurveLocationDetail[]): number BSplineCurve3dBase Implement CurvePrimitive.appendPlaneIntersections clonePartialCurve(_fractionA: number, _fractionB: number): undefined | CurvePrimitive BSplineCurve3dBase Return (if possible) a curve primitive which is a portion of this curve. closestPoint(spacePoint: Point3d, _extend: boolean): undefined | CurveLocationDetail BSplineCurve3dBase Search for the curve point that is closest to the spacePoint. collectBezierSpans(prefer3dH: boolean): BezierCurveBase[] BSplineCurve3dBase Return an array with this curve's bezier fragments. collectCurvePrimitives(collectorArray?: CurvePrimitive[], smallestPossiblePrimitives: boolean = false, explodeLinestrings: boolean = false): CurvePrimitive[] BSplineCurve3dBase Return an array containing only the curve primitives. collectCurvePrimitivesGo(collectorArray: CurvePrimitive[], _smallestPossiblePrimitives: boolean, _explodeLinestrings: boolean = false): void BSplineCurve3dBase Return an array containing only the curve primitives. curveLength(): number BSplineCurve3dBase return the length of the curve. curveLengthBetweenFractions(fraction0: number, fraction1: number): number BSplineCurve3dBase Returns a (high accuracy) length of the curve between fractional positions curveLengthWithFixedIntervalCountQuadrature(fraction0: number, fraction1: number, numInterval: number, numGauss: number = 5): number BSplineCurve3dBase * Run an integration (with a default gaussian quadrature) with a fixed fractional step endPoint(): Point3d BSplineCurve3dBase Return the end point of the curve fractionAndDistanceToPointOnTangent(fraction: number, distance: number): Point3d BSplineCurve3dBase Construct a point extrapolated along tangent at fraction. fractionToCurvature(fraction: number): undefined | number BSplineCurve3dBase Returns the (absolute) curvature magnitude. fractionToFrenetFrame(fraction: number, result?: Transform): undefined | Transform BSplineCurve3dBase Construct a frenet frame: fractionToPointAndUnitTangent(fraction: number, result?: Ray3d): Ray3d BSplineCurve3dBase Returns a ray whose origin is the curve point and direction is the unit tangent. getFractionToDistanceScale(): undefined | number BSplineCurve3dBase * If the curve primitive has distance-along-curve strictly proportional to curve fraction, return true moveSignedDistanceFromFraction(startFraction: number, signedDistance: number, allowExtension: boolean, result?: CurveLocationDetail): CurveLocationDetail BSplineCurve3dBase * (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 BSplineCurve3dBase Generic algorithm to search for point at signed distance from a fractional startPoint. poleIndexToDataIndex(poleIndex: number): undefined | number BSplineCurve3dBase Given a pole index, return the starting index for the contiguous array. range(transform?: Transform, result?: Range3d): Range3d BSplineCurve3dBase return the range of the entire (tree) GeometryQuery reverseInPlace(): void BSplineCurve3dBase Reverse the curve in place. startPoint(): Point3d BSplineCurve3dBase Return the start point of the curve. tryTranslateInPlace(dx: number, dy: number = 0.0, dz: number = 0.0): boolean BSplineCurve3dBase try to move the geometry by dx,dy,dz areAlmostEqual(a: undefined | GeometryQuery, b: undefined | GeometryQuery): boolean Static BSplineCurve3dBase apply instance method isAlmostEqual if both are defined. installStrokeCountMap(curve: CurvePrimitive, curveMap: StrokeCountMap, parentMap?: StrokeCountMap): void Static BSplineCurve3dBase final install step to save curveMap in curve. Properties Name Type Description isClosable Accessor ReadOnly BSplineWrapMode Test knots, control points, and wrappable flag to see if all agree for a possible wrapping. Inherited properties Name Type Inherited from Description _bcurve Protected BSpline1dNd BSplineCurve3dBase The underlying blocked-pole spline, with simple x,y,z poles children Accessor ReadOnly undefined | GeometryQuery[] BSplineCurve3dBase return GeometryQuery children for recursive queries.* leaf classes do not need to implement. curvePrimitiveType Readonly "bsplineCurve" BSplineCurve3dBase String name for schema properties definitionData Accessor any BSplineCurve3dBase degree Accessor ReadOnly number BSplineCurve3dBase Return the degree (one less than the order) of the curve geometryCategory Readonly "curvePrimitive" BSplineCurve3dBase String name for schema properties isExtensibleFractionSpace Accessor ReadOnly boolean BSplineCurve3dBase * 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 BSplineCurve3dBase Return the number of poles numSpan Accessor ReadOnly number BSplineCurve3dBase Return the number of bezier spans in the curve. Note that this number includes the number of null spans at repeated knows order Accessor ReadOnly number BSplineCurve3dBase Return the order (one more than degree) of the curve parent undefined | any BSplineCurve3dBase data attached by various algorithms (e.g. strokeData undefined | StrokeCountMap BSplineCurve3dBase data attached during stroking for facets. Defined in bspline/BSplineCurve.ts Line 305 Last Updated: 29 November, 2022