IBSplineSurface_DG Interface
 Init
 Init1
 GetAxialSplineProps
 GetPole
 SetPole
 SetPole2
 GetPoles
 GetWeight
 SetWeight
 GetWeights
 GetPoint
 GetNormal
 GetJet1
 GetJet2
 GetJetN
 GetIsoCurve
 ModifyPoint
 SwapUV
void Init(IPointMatrix_DG poles, IArrayDouble_DG knotsU, IArrayDouble_DG knotsV, IArrayInt_DG multiplicitiesU, IArrayInt_DG multiplicitiesV, int degreeU, int degreeV, bool periodicU, bool periodicV)
Initialises a nonrational bspline surface with weights = 1.
For input to be valid, the following conditions must be met for both U and V components:
0 < degreeU <= MaxDegree(=14 in this version)
knotsU.GetCount() == multiplicitiesU.GetCount() >= 2
knotsU[i] < knotsU[i+1] knots must be increasing
For internal knots 1 <= multiplicitiesU[i] <= degreeU
On a non uperiodic surface the first and last multiplicities are not greater than degreeU+1 (Set them to degreeU+1 to make ends of the iso curve (and edges of the surface) coinside with the the first and the last poles).
On a uperiodic surface the first and the last in multiplicitiesU must be the same.
On nonuperiodic surfaces poles.GetRows() must be equal to Sum(multiplicitiesU[i])  degreeU  1 >= 2
On uperiodic surfaces poles.GetRows() must be equal to Sum(multiplicitiesU[i]), except for the first or the last.
Defaults: periodicU = false, periodicV = false
void Init1(IPointMatrix_DG poles, IMatrix_DG weights, IArrayDouble_DG knotsU, IArrayDouble_DG knotsV, IArrayInt_DG multiplicitiesU, IArrayInt_DG multiplicitiesV, int degreeU, int degreeV, bool periodicU, bool periodicV)
Initialises a rational bspline surface.
For input to be valid, the following conditions must be met for both U and V components:
weights.GetRows() == poles.GetRows()
0 < degreeU <= MaxDegree(=14 in this version)
knotsU.GetCount() == multiplicitiesU.GetCount() >= 2
knotsU[i] < knotsU[i+1] knots must be increasing
For internal knots 1 <= multiplicitiesU[i] <= degreeU
On a non uperiodic surface the first and last multiplicities are not greater than degreeU+1 (Set them to degreeU+1 to make ends of the iso curve (and edges of the surface) coinside with the the first and the last poles).
On a uperiodic surface the first and the last in multiplicitiesU must be the same.
On nonuperiodic surfaces poles.GetRows() must be equal to Sum(multiplicitiesU[i])  degreeU  1 >= 2
On uperiodic surfaces poles.GetRows() must be equal to Sum(multiplicitiesU[i]), except for the first or the last.
Defaults: periodicU = false, periodicV = false
IPartialSplineProps_DG GetAxialSplineProps(bool u)
Access to attributes specific for the selected parametric direction
Point_DG GetPole(int indexU, int indexV)
void SetPole(int indexU, int indexV, Point_DG point)
void SetPole2(int indexU, int indexV, Point_DG point, double weight)
IPointMatrix_DG GetPoles()
double GetWeight(int indexU, int indexV)
void SetWeight(int indexU, int indexV, double weight)
IMatrix_DG GetWeights()
Point_DG GetPoint(DG2D uv)
Vect_DG GetNormal(DG2D uv)
void GetJet1(DG2D uv, Point_DG point, out Vect_DG d1u, out Vect_DG d1v)
Returns point and the derivatives at the uv parameters
void GetJet2(DG2D uv, Point_DG point, out Vect_DG d1u, out Vect_DG d1v, out Vect_DG d2u, out Vect_DG d2v, out Vect_DG d2uv)
Returns point and the derivatives at the uv parameters
Vect_DG GetJetN(DG2D uv, int Nu, int Nv)
ICurve_DG GetIsoCurve(bool u, double paramAt)
void ModifyPoint(DG2D uv, Point_DG point, ref int firstIndexU, ref int lastIndexU, ref int firstIndexV, ref int lastIndexV)
Modifes poles in the specified range so that the surface interpolates (passes through) the point.
In other words, moves the point at uv parameters on this surface to new position pt.
The integer parameters are [in,out]. On start they specify the range of the poles which are allowed to be moved.
On return they contain the indexes of the first and last poles, which were actually modified.
void SwapUV()
Exchanges the u and v parametric directions. As a consequence: The pole and weight tables are transposed,
the knot and multiplicity tables are exchanged, degrees of continuity, and rational, periodic and uniform characteristics are exchanged, and the orientation of the surface is inverted.
