BSpline2dNd Class

Bspline knots and poles for 2d-to-Nd.

  • This abstract class in not independently instantiable -- GeometryQuery methods must be implemented by derived classes.

Extends

Extended by

Methods

Name Description
constructor(numPolesU: number, numPolesV: number, poleLength: number, knotsU: KnotVector, knotsV: KnotVector): BSpline2dNd Protected initialize arrays for given spline dimensions.  
degreeUV(select: UVSelect): number Return the degree (one less than order) for the select direction (0 or 1)  
evaluateBuffersAtKnot(u: number, v: number, numDerivative: number = 0): void Evaluate the _basisBuffer, _poleBuffer and (optionally) _basisBuffer1 and _poleBuffer1 arrays at given knot.  
extendRangeXYZ(rangeToExtend: Range3d, transform?: Transform): void extend a range, treating each block as simple XYZ  
extendRangeXYZH(rangeToExtend: Range3d, transform?: Transform): void extend a range, treating each block as homogeneous xyzw, with weight at offset 3  
fractionToPointAndDerivatives(_fractionU: number, _fractionV: number, _result?: Plane3dByOriginAndVectors): Plane3dByOriginAndVectors | undefined Abstract abstract declaration for evaluation of (unweighted) 3d point and derivatives.  
fractionToRigidFrame(fractionU: number, fractionV: number, result?: Transform): Transform | undefined evaluate the surface at u and v fractions.  
getPoint3dPole(i: number, j: number, result?: Point3d): Point3d | undefined Get the Point3d by row and column.  
getPoint3dPoleXYZW(i: number, j: number, result?: Point3d): Point3d | undefined Get the Point3d by row and column, projecting the weight away to get to xyz
* (IMPORTANT) This assumes this is an xyzw surface.
 
isClosable(select: UVSelect): boolean Test if degree leading and trailing (one of U or V) blocks match, as if the data is an unwrapped closed spline in the selected direction.  
numPolesTotal(): number Return the total number of poles (product of x and y pole counts)  
numPolesUV(select: UVSelect): number Return the number of poles for the select direction (0 or 1)  
numSpanUV(select: UVSelect): number Return the number of spans (INCLUDING NULL SPANS) for the select direction (0 or 1)  
numberToUVSelect(value: number): UVSelect Return 0 for 0 input, 1 for any nonzero input.  
orderUV(select: UVSelect): number Return the order (one more than degree) for the select direction (0 or 1)  
poleStepUV(select: UVSelect): number Return the step between adjacent poles for the select direction (0 or 1)  
reverseInPlace(select: UVSelect): void Reverse the parameter direction for either u or v.  
setWrappable(select: UVSelect, value: BSplineWrapMode): void Set the flag indicating the bspline might be suitable for having wrapped "closed" interpretation.  
spanFractionToKnot(select: UVSelect, span: number, localFraction: number): number Map a position, specified as (uv direction, bezier span, fraction within the bezier), to an overall knot value.  
spanFractionsToBasisFunctions(select: UVSelect, spanIndex: number, spanFraction: number, f: Float64Array, df?: Float64Array): void Evaluate basis functions given
choice of u or v
span index
* local fraction within the span.
 
sumPoleBufferForSpan(spanIndexU: number, spanIndexV: number): void sum poles by the weights in the basisBuffer, using poles for given span  
sumpoleBufferDerivativesForSpan(spanIndexU: number, spanIndexV: number): void sum derivatives by the weights in the basisBuffer, using poles for given span  
validOrderAndPoleCounts(orderU: number, numPolesU: number, orderV: number, numPolesV: number, numUV: number): boolean Static Confirm that order and pole counts agree for both u and v directions  

Inherited methods

Name Inherited from Description
clone(): GeometryQuery | undefined Abstract GeometryQuery return a clone
cloneTransformed(transform: Transform): GeometryQuery | undefined Abstract GeometryQuery return a transformed clone.
dispatchToGeometryHandler(handler: GeometryHandler): any Abstract GeometryQuery * "double dispatch" call pattern.
extendRange(rangeToExtend: Range3d, transform?: Transform): void Abstract GeometryQuery extend rangeToExtend by the range of this geometry multiplied by the transform
isAlmostEqual(other: GeometryQuery): boolean GeometryQuery test for exact structure and nearly identical geometry.
isSameGeometryClass(other: GeometryQuery): boolean Abstract GeometryQuery test if (other instanceof this.Type).
range(transform?: Transform, result?: Range3d): Range3d GeometryQuery return the range of the entire (tree) GeometryQuery
tryTransformInPlace(transform: Transform): boolean Abstract GeometryQuery Attempt to transform in place.
tryTranslateInPlace(dx: number, dy: number = 0, dz: number = 0): boolean GeometryQuery try to move the geometry by dx,dy,dz

Properties

Name Type Description
_basisBuffer1UV Protected Float64Array[] a scratch array sized for order numbers  
_basisBufferUV Protected Float64Array[] a scratch array sized for order numbers  
_poleBuffer Protected Float64Array a scratch array sized for one pole  
_poleBuffer1UV Protected Float64Array[] array of 2 scratch array, each sized for one pole
* used in derivative evaluations, with respective u and v derivatives in the respective arrays.
 
coffs Float64Array flat array of coordinate daa, blocked by poleDimension and row  
geometryCategory "bsurf" = "bsurf"    
knots KnotVector[] Array of (exactly 2) knot vectors for the u, v directions  
poleDimension number Number of componets per pole.  

Inherited properties

Name Type Inherited from Description
children Accessor ReadOnly GeometryQuery[] | undefined GeometryQuery return GeometryQuery children for recursive queries.

* leaf classes do not need to implement.

Defined in

Last Updated: 20 September, 2019