BezierCurve3dH Class
3d curve with homogeneous weights.
- A control point with weight w and cartesian (projected) coordinates x,y,z has the weight multiplied into the coordinates, hence the control point as stored is (xw, yw, zw, w).
Extends
Methods
| Name | Description | |
|---|---|---|
| constructor(blockSize: number, data: Float64Array): BezierCurve3dH Protected | ||
| clone(): BezierCurve3dH | Clone the entire curve. | |
| cloneTransformed(transform: Transform): BezierCurve3dH | Return a curve after transform. | |
| dispatchToGeometryHandler(handler: GeometryHandler): any | Second step of double dispatch: call handler.handleBezierCurve3dH(this) |
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| extendRange(rangeToExtend: Range3d, transform?: Transform): void | Extend rangeToExtend, using candidate extrema atboth end points any internal extrema in x,y,z |
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| fractionToPoint(fraction: number, result?: Point3d): Point3d | Return a (deweighted) point on the curve. | |
| fractionToPoint4d(fraction: number, result?: Point4d): Point4d | Return a (deweighted) point on the curve. | |
| fractionToPointAnd2Derivatives(fraction: number, result?: Plane3dByOriginAndVectors): Plane3dByOriginAndVectors | Construct a plane with origin at the fractional position along the arc x axis is the first derivative, i.e. |
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| fractionToPointAndDerivative(fraction: number, result?: Ray3d): Ray3d | Return the cartesian point and derivative vector. | |
| getPolePoint3d(i: number, result?: Point3d): Point3d | undefined | Return a specific pole normalized to weight 1 | |
| getPolePoint4d(i: number, result?: Point4d): Point4d | undefined | Return a specific pole as a full [x,y,z,x] Point4d |
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| isAlmostEqual(other: any): boolean | test for nearly equal control points | |
| isSameGeometryClass(other: any): boolean | test if other is also a BezierCurve3dH. |
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| isUnitWeight(tolerance?: number): boolean | Returns true if all weights are within tolerance of 1.0 | |
| loadSpan3dPolesWithWeight(data: Float64Array, spanIndex: number, weight: number): void | Load order 4 doubles from data[3 spanIndex] as poles (with added weight) | |
| loadSpan4dPoles(data: Float64Array, spanIndex: number): void | Load order 4 doubles from data[3 spanIndex] as poles (with added weight) | |
| poleProductsXYZW(products: Float64Array, ax: number, ay: number, az: number, aw: number): void | Form dot products of each pole with given coefficients. | |
| tryMultiplyMatrix4dInPlace(matrix: Matrix4d): void | Apply (multiply by) a perspective transform | |
| tryTransformInPlace(transform: Transform): boolean | Apply (multiply by) an affine transform | |
| updateClosestPointByTruePerpendicular(spacePoint: Point3d, detail: CurveLocationDetail): boolean | Find the closest point within the bezier span, using true perpendicular test (but no endpoint test) If closer than previously recorded, update the CurveLocationDetail This assumes this bezier is saturated. |
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| create(data: Point3d[] | Point4d[] | Point2d[]): BezierCurve3dH | undefined Static | Create a curve with given points. | |
| createOrder(order: number): BezierCurve3dH Static | create a bezier curve of specified order, filled with zeros |
Inherited methods
| Name | Inherited from | Description |
|---|---|---|
| addMappedStrokesToLineString3D(map: StrokeCountMap, linestring: LineString3d): number | CurvePrimitive | * 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 | CurvePrimitive | Find intervals of this curvePrimitive that are interior to a clipper |
| appendPlaneIntersectionPoints(plane: PlaneAltitudeEvaluator, result: CurveLocationDetail[]): number | CurvePrimitive | Compute intersections with a plane. |
| clonePartialCurve(_fractionA: number, _fractionB: number): CurvePrimitive | undefined | CurvePrimitive | Return (if possible) a curve primitive which is a portion of this curve. |
| closestPoint(spacePoint: Point3d, extend: VariantCurveExtendParameter): CurveLocationDetail | undefined | CurvePrimitive | Search for the curve point that is closest to the spacePoint. |
| computeAndAttachRecursiveStrokeCounts(options?: StrokeOptions, parentMap?: StrokeCountMap): void | CurvePrimitive | attach StrokeCountMap structure to this primitive (and recursively to any children) * Base class implementation (here) gets the simple count from computeStrokeCountForOptions and attaches it. |
| computeStrokeCountForOptions(options?: StrokeOptions): number | BezierCurveBase | Assess length and turn to determine a stroke count. |
| copyPolesAsJsonArray(): any[] | BezierCurveBase | Return a simple array of arrays with the control points as [[x,y,z],[x,y,z],..] |
| curveLength(): number | CurvePrimitive | return the length of the curve. |
| curveLengthBetweenFractions(fraction0: number, fraction1: number): number | CurvePrimitive | Returns a (high accuracy) length of the curve between fractional positions * Curve length is always positive. |
| curveLengthWithFixedIntervalCountQuadrature(fraction0: number, fraction1: number, numInterval: number, numGauss: number = 5): number | CurvePrimitive | Run an integration (with a default gaussian quadrature) with a fixed fractional step This is typically called by specific curve type implementations of curveLengthBetweenFractions. |
| 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 | CurvePrimitive | Construct a point extrapolated along tangent at fraction. |
| fractionToFrenetFrame(fraction: number, result?: Transform): Transform | undefined | CurvePrimitive | Construct a frenet frame: origin at the point on the curve x axis is unit vector along the curve (tangent) * y axis is perpendicular and in the plane of the osculating circle. |
| fractionToParentFraction(fraction: number): number | BezierCurveBase | map fraction from this Bezier curves inherent 0..1 range to the (a,b) range of parent* ( The parent range should have been previously defined with setInterval) |
| fractionToPointAndUnitTangent(fraction: number, result?: Ray3d): Ray3d | CurvePrimitive | Returns a ray whose origin is the curve point and direction is the unit tangent. |
| getFractionToDistanceScale(): number | undefined | CurvePrimitive | If the curve primitive has distance-along-curve strictly proportional to curve fraction, return true If distance-along-the-curve is not proportional, return undefined. |
| isInPlane(plane: Plane3dByOriginAndUnitNormal): boolean | BezierCurveBase | return true if all poles are on a plane. |
| moveSignedDistanceFromFraction(startFraction: number, signedDistance: number, allowExtension: boolean, result?: CurveLocationDetail): CurveLocationDetail | CurvePrimitive | * (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 | CurvePrimitive | Generic algorithm to search for point at signed distance from a fractional startPoint. |
| polygonLength(): number | BezierCurveBase | Return the length of the control polygon. |
| quickLength(): number | BezierCurveBase | Return the control polygon length as a quick length estimate. |
| range(transform?: Transform, result?: Range3d): Range3d | GeometryQuery | return the range of the entire (tree) GeometryQuery |
| 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, dz: number = 0): boolean | GeometryQuery | try to move the geometry by dx,dy,dz |
| installStrokeCountMap(curve: CurvePrimitive, curveMap: StrokeCountMap, parentMap?: StrokeCountMap): void Static | CurvePrimitive | 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 | GeometryQuery[] | undefined | GeometryQuery | return GeometryQuery children for recursive queries. * leaf classes do not need to implement. |
| curvePrimitiveType | "bezierCurve" = "bezierCurve" | BezierCurveBase | String name for schema properties |
| degree Accessor ReadOnly | number | BezierCurveBase | (property accessor) Return the polynomial degree (one less than order) |
| geometryCategory | "curvePrimitive" = "curvePrimitive" | CurvePrimitive | String name for schema properties |
| isExtensibleFractionSpace Accessor ReadOnly | boolean | CurvePrimitive | 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 |
| strokeData | undefined | StrokeCountMap | CurvePrimitive | data attached during stroking for facets. |
Defined in
Last Updated: 08 January, 2020