Open CASCADE Technology
6.9.1
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Describes a rational or non-rational Bezier surface. More...
#include <Geom_BezierSurface.hxx>
Public Member Functions | |
Geom_BezierSurface (const TColgp_Array2OfPnt &SurfacePoles) | |
Creates a non-rational Bezier surface with a set of poles. Control points representation : SPoles(Uorigin,Vorigin) ...................SPoles(Uorigin,Vend) . . . . SPoles(Uend, Vorigin) .....................SPoles(Uend, Vend) For the double array the row indice corresponds to the parametric U direction and the columns indice corresponds to the parametric V direction. The weights are defaulted to all being 1. More... | |
Geom_BezierSurface (const TColgp_Array2OfPnt &SurfacePoles, const TColStd_Array2OfReal &PoleWeights) | |
—Purpose Creates a rational Bezier surface with a set of poles and a set of weights. For the double array the row indice corresponds to the parametric U direction and the columns indice corresponds to the parametric V direction. If all the weights are identical the surface is considered as non-rational (the tolerance criterion is Resolution from package gp). More... | |
void | ExchangeUV () |
Exchanges the direction U and V on a Bezier surface As a consequence: More... | |
void | Increase (const Standard_Integer UDeg, const Standard_Integer VDeg) |
Increases the degree of this Bezier surface in the two parametric directions. More... | |
void | InsertPoleColAfter (const Standard_Integer VIndex, const TColgp_Array1OfPnt &CPoles) |
Inserts a column of poles. If the surface is rational the weights values associated with CPoles are equal defaulted to 1. More... | |
void | InsertPoleColAfter (const Standard_Integer VIndex, const TColgp_Array1OfPnt &CPoles, const TColStd_Array1OfReal &CPoleWeights) |
Inserts a column of poles and weights. If the surface was non-rational it can become rational. More... | |
void | InsertPoleColBefore (const Standard_Integer VIndex, const TColgp_Array1OfPnt &CPoles) |
Inserts a column of poles. If the surface is rational the weights values associated with CPoles are equal defaulted to 1. More... | |
void | InsertPoleColBefore (const Standard_Integer VIndex, const TColgp_Array1OfPnt &CPoles, const TColStd_Array1OfReal &CPoleWeights) |
Inserts a column of poles and weights. If the surface was non-rational it can become rational. More... | |
void | InsertPoleRowAfter (const Standard_Integer UIndex, const TColgp_Array1OfPnt &CPoles) |
Inserts a row of poles. If the surface is rational the weights values associated with CPoles are equal defaulted to 1. More... | |
void | InsertPoleRowAfter (const Standard_Integer UIndex, const TColgp_Array1OfPnt &CPoles, const TColStd_Array1OfReal &CPoleWeights) |
Inserts a row of poles and weights. If the surface was non-rational it can become rational. More... | |
void | InsertPoleRowBefore (const Standard_Integer UIndex, const TColgp_Array1OfPnt &CPoles) |
Inserts a row of poles. If the surface is rational the weights values associated with CPoles are equal defaulted to 1. More... | |
void | InsertPoleRowBefore (const Standard_Integer UIndex, const TColgp_Array1OfPnt &CPoles, const TColStd_Array1OfReal &CPoleWeights) |
Inserts a row of poles and weights. If the surface was non-rational it can become rational. More... | |
void | RemovePoleCol (const Standard_Integer VIndex) |
Removes a column of poles. If the surface was rational it can become non-rational. More... | |
void | RemovePoleRow (const Standard_Integer UIndex) |
Removes a row of poles. If the surface was rational it can become non-rational. More... | |
void | Segment (const Standard_Real U1, const Standard_Real U2, const Standard_Real V1, const Standard_Real V2) |
Modifies this Bezier surface by segmenting it between U1 and U2 in the u parametric direction, and between V1 and V2 in the v parametric direction. U1, U2, V1, and V2 can be outside the bounds of this surface. More... | |
void | SetPole (const Standard_Integer UIndex, const Standard_Integer VIndex, const gp_Pnt &P) |
Modifies a pole value. If the surface is rational the weight of range (UIndex, VIndex) is not modified. More... | |
void | SetPole (const Standard_Integer UIndex, const Standard_Integer VIndex, const gp_Pnt &P, const Standard_Real Weight) |
Substitutes the pole and the weight of range UIndex, VIndex. If the surface <me> is not rational it can become rational. if the surface was rational it can become non-rational. More... | |
void | SetPoleCol (const Standard_Integer VIndex, const TColgp_Array1OfPnt &CPoles) |
Modifies a column of poles. The length of CPoles can be lower but not greater than NbUPoles so you can modify just a part of the column. Raised if VIndex < 1 or VIndex > NbVPoles. More... | |
void | SetPoleCol (const Standard_Integer VIndex, const TColgp_Array1OfPnt &CPoles, const TColStd_Array1OfReal &CPoleWeights) |
Modifies a column of poles. If the surface was rational it can become non-rational If the surface was non-rational it can become rational. The length of CPoles can be lower but not greater than NbUPoles so you can modify just a part of the column. Raised if VIndex < 1 or VIndex > NbVPoles. More... | |
void | SetPoleRow (const Standard_Integer UIndex, const TColgp_Array1OfPnt &CPoles) |
Modifies a row of poles. The length of CPoles can be lower but not greater than NbVPoles so you can modify just a part of the row. Raised if UIndex < 1 or UIndex > NbUPoles. More... | |
void | SetPoleRow (const Standard_Integer UIndex, const TColgp_Array1OfPnt &CPoles, const TColStd_Array1OfReal &CPoleWeights) |
Modifies a row of poles and weights. If the surface was rational it can become non-rational. If the surface was non-rational it can become rational. The length of CPoles can be lower but not greater than NbVPoles so you can modify just a part of the row. Raised if UIndex < 1 or UIndex > NbUPoles. More... | |
void | SetWeight (const Standard_Integer UIndex, const Standard_Integer VIndex, const Standard_Real Weight) |
Modifies the weight of the pole of range UIndex, VIndex. If the surface was non-rational it can become rational. If the surface was rational it can become non-rational. More... | |
void | SetWeightCol (const Standard_Integer VIndex, const TColStd_Array1OfReal &CPoleWeights) |
Modifies a column of weights. If the surface was rational it can become non-rational. If the surface was non-rational it can become rational. The length of CPoleWeights can be lower but not greater than NbUPoles. Raised if VIndex < 1 or VIndex > NbVPoles. More... | |
void | SetWeightRow (const Standard_Integer UIndex, const TColStd_Array1OfReal &CPoleWeights) |
Modifies a row of weights. If the surface was rational it can become non-rational. If the surface was non-rational it can become rational. The length of CPoleWeights can be lower but not greater than NbVPoles. Raised if UIndex < 1 or UIndex > NbUPoles. More... | |
void | UReverse () |
Changes the orientation of this Bezier surface in the u parametric direction. The bounds of the surface are not changed, but the given parametric direction is reversed. Hence, the orientation of the surface is reversed. More... | |
Standard_Real | UReversedParameter (const Standard_Real U) const |
Computes the u (or v) parameter on the modified surface, produced by reversing its u (or v) parametric direction, for any point of u parameter U (or of v parameter V) on this Bezier surface. In the case of a Bezier surface, these functions return respectively: More... | |
void | VReverse () |
Changes the orientation of this Bezier surface in the v parametric direction. The bounds of the surface are not changed, but the given parametric direction is reversed. Hence, the orientation of the surface is reversed. More... | |
Standard_Real | VReversedParameter (const Standard_Real V) const |
Computes the u (or v) parameter on the modified surface, produced by reversing its u (or v) parametric direction, for any point of u parameter U (or of v parameter V) on this Bezier surface. In the case of a Bezier surface, these functions return respectively: More... | |
void | Bounds (Standard_Real &U1, Standard_Real &U2, Standard_Real &V1, Standard_Real &V2) const |
Returns the parametric bounds U1, U2, V1 and V2 of this Bezier surface. In the case of a Bezier surface, this function returns U1 = 0, V1 = 0, U2 = 1, V2 = 1. More... | |
GeomAbs_Shape | Continuity () const |
Returns the continuity of the surface CN : the order of continuity is infinite. More... | |
void | D0 (const Standard_Real U, const Standard_Real V, gp_Pnt &P) const |
Computes the point of parameter U,V on the surface. More... | |
void | D1 (const Standard_Real U, const Standard_Real V, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V) const |
Computes the point P and the first derivatives in the directions U and V at this point. Raised if the continuity of the surface is not C1. More... | |
void | D2 (const Standard_Real U, const Standard_Real V, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V, gp_Vec &D2U, gp_Vec &D2V, gp_Vec &D2UV) const |
Computes the point P, the first and the second derivatives in the directions U and V at this point. Raised if the continuity of the surface is not C2. More... | |
void | D3 (const Standard_Real U, const Standard_Real V, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V, gp_Vec &D2U, gp_Vec &D2V, gp_Vec &D2UV, gp_Vec &D3U, gp_Vec &D3V, gp_Vec &D3UUV, gp_Vec &D3UVV) const |
Computes P, the point of parameters (U, V) of this Bezier surface, and. More... | |
gp_Vec | DN (const Standard_Real U, const Standard_Real V, const Standard_Integer Nu, const Standard_Integer Nv) const |
Computes the derivative of order Nu in the u parametric direction, and Nv in the v parametric direction, at the point of parameters (U, V) of this Bezier surface. Note: The parameters U and V can be outside the bounds of the surface. Exceptions Standard_RangeError if: More... | |
Standard_Integer | NbUPoles () const |
Returns the number of poles in the U direction. More... | |
Standard_Integer | NbVPoles () const |
Returns the number of poles in the V direction. More... | |
gp_Pnt | Pole (const Standard_Integer UIndex, const Standard_Integer VIndex) const |
Returns the pole of range UIndex, VIndex Raised if UIndex < 1 or UIndex > NbUPoles, or VIndex < 1 or VIndex > NbVPoles. More... | |
void | Poles (TColgp_Array2OfPnt &P) const |
Returns the poles of the Bezier surface. More... | |
Standard_Integer | UDegree () const |
Returns the degree of the surface in the U direction it is NbUPoles - 1. More... | |
Handle< Geom_Curve > | UIso (const Standard_Real U) const |
Computes the U isoparametric curve. For a Bezier surface the UIso curve is a Bezier curve. More... | |
Standard_Integer | VDegree () const |
Returns the degree of the surface in the V direction it is NbVPoles - 1. More... | |
Handle< Geom_Curve > | VIso (const Standard_Real V) const |
Computes the V isoparametric curve. For a Bezier surface the VIso curve is a Bezier curve. More... | |
Standard_Real | Weight (const Standard_Integer UIndex, const Standard_Integer VIndex) const |
Returns the weight of range UIndex, VIndex. More... | |
void | Weights (TColStd_Array2OfReal &W) const |
Returns the weights of the Bezier surface. More... | |
Standard_Boolean | IsUClosed () const |
Returns True if the first control points row and the last control points row are identical. The tolerance criterion is Resolution from package gp. More... | |
Standard_Boolean | IsVClosed () const |
Returns True if the first control points column and the last control points column are identical. The tolerance criterion is Resolution from package gp. More... | |
Standard_Boolean | IsCNu (const Standard_Integer N) const |
Returns True, a Bezier surface is always CN. More... | |
Standard_Boolean | IsCNv (const Standard_Integer N) const |
Returns True, a BezierSurface is always CN. More... | |
Standard_Boolean | IsUPeriodic () const |
Returns False. More... | |
Standard_Boolean | IsVPeriodic () const |
Returns False. More... | |
Standard_Boolean | IsURational () const |
Returns False if the weights are identical in the U direction, The tolerance criterion is Resolution from package gp. Example : |1.0, 1.0, 1.0| if Weights = |0.5, 0.5, 0.5| returns False |2.0, 2.0, 2.0|. More... | |
Standard_Boolean | IsVRational () const |
Returns False if the weights are identical in the V direction, The tolerance criterion is Resolution from package gp. Example : |1.0, 2.0, 0.5| if Weights = |1.0, 2.0, 0.5| returns False |1.0, 2.0, 0.5|. More... | |
void | Transform (const gp_Trsf &T) |
Applies the transformation T to this Bezier surface. More... | |
void | Resolution (const Standard_Real Tolerance3D, Standard_Real &UTolerance, Standard_Real &VTolerance) |
Computes two tolerance values for this Bezier surface, based on the given tolerance in 3D space Tolerance3D. The tolerances computed are: More... | |
Handle< Geom_Geometry > | Copy () const |
Creates a new object which is a copy of this Bezier surface. More... | |
Public Member Functions inherited from Geom_Surface | |
Handle< Geom_Surface > | UReversed () const |
Reverses the U direction of parametrization of <me>. The bounds of the surface are not modified. A copy of <me> is returned. More... | |
Handle< Geom_Surface > | VReversed () const |
Reverses the V direction of parametrization of <me>. The bounds of the surface are not modified. A copy of <me> is returned. More... | |
virtual void | TransformParameters (Standard_Real &U, Standard_Real &V, const gp_Trsf &T) const |
Computes the parameters on the transformed surface for the transform of the point of parameters U,V on <me>. More... | |
virtual gp_GTrsf2d | ParametricTransformation (const gp_Trsf &T) const |
Returns a 2d transformation used to find the new parameters of a point on the transformed surface. More... | |
virtual Standard_Real | UPeriod () const |
Returns the period of this surface in the u parametric direction. raises if the surface is not uperiodic. More... | |
virtual Standard_Real | VPeriod () const |
Returns the period of this surface in the v parametric direction. raises if the surface is not vperiodic. More... | |
gp_Pnt | Value (const Standard_Real U, const Standard_Real V) const |
Computes the point of parameter U on the surface. More... | |
Public Member Functions inherited from Geom_Geometry | |
void | Mirror (const gp_Pnt &P) |
Performs the symmetrical transformation of a Geometry with respect to the point P which is the center of the symmetry. More... | |
void | Mirror (const gp_Ax1 &A1) |
Performs the symmetrical transformation of a Geometry with respect to an axis placement which is the axis of the symmetry. More... | |
void | Mirror (const gp_Ax2 &A2) |
Performs the symmetrical transformation of a Geometry with respect to a plane. The axis placement A2 locates the plane of the symmetry : (Location, XDirection, YDirection). More... | |
void | Rotate (const gp_Ax1 &A1, const Standard_Real Ang) |
Rotates a Geometry. A1 is the axis of the rotation. Ang is the angular value of the rotation in radians. More... | |
void | Scale (const gp_Pnt &P, const Standard_Real S) |
Scales a Geometry. S is the scaling value. More... | |
void | Translate (const gp_Vec &V) |
Translates a Geometry. V is the vector of the tanslation. More... | |
void | Translate (const gp_Pnt &P1, const gp_Pnt &P2) |
Translates a Geometry from the point P1 to the point P2. More... | |
Handle< Geom_Geometry > | Mirrored (const gp_Pnt &P) const |
Handle< Geom_Geometry > | Mirrored (const gp_Ax1 &A1) const |
Handle< Geom_Geometry > | Mirrored (const gp_Ax2 &A2) const |
Handle< Geom_Geometry > | Rotated (const gp_Ax1 &A1, const Standard_Real Ang) const |
Handle< Geom_Geometry > | Scaled (const gp_Pnt &P, const Standard_Real S) const |
Handle< Geom_Geometry > | Transformed (const gp_Trsf &T) const |
Handle< Geom_Geometry > | Translated (const gp_Vec &V) const |
Handle< Geom_Geometry > | Translated (const gp_Pnt &P1, const gp_Pnt &P2) const |
Public Member Functions inherited from MMgt_TShared | |
virtual void | Delete () const |
Memory deallocator for transient classes. More... | |
Public Member Functions inherited from Standard_Transient | |
Standard_Transient () | |
Empty constructor. More... | |
Standard_Transient (const Standard_Transient &) | |
Copy constructor – does nothing. More... | |
Standard_Transient & | operator= (const Standard_Transient &) |
Assignment operator, needed to avoid copying reference counter. More... | |
virtual | ~Standard_Transient () |
Destructor must be virtual. More... | |
virtual const Handle_Standard_Type & | DynamicType () const |
Returns a type information object about this object. More... | |
Standard_Boolean | IsInstance (const Handle_Standard_Type &theType) const |
Returns a true value if this is an instance of Type. More... | |
Standard_Boolean | IsInstance (const Standard_CString theTypeName) const |
Returns a true value if this is an instance of TypeName. More... | |
Standard_Boolean | IsKind (const Handle_Standard_Type &theType) const |
Returns true if this is an instance of Type or an instance of any class that inherits from Type. Note that multiple inheritance is not supported by OCCT RTTI mechanism. More... | |
Standard_Boolean | IsKind (const Standard_CString theTypeName) const |
Returns true if this is an instance of TypeName or an instance of any class that inherits from TypeName. Note that multiple inheritance is not supported by OCCT RTTI mechanism. More... | |
virtual Handle_Standard_Transient | This () const |
Returns a Handle which references this object. Must never be called to objects created in stack. More... | |
Standard_Integer | GetRefCount () const |
Get the reference counter of this object. More... | |
Static Public Member Functions | |
static Standard_Integer | MaxDegree () |
Returns the value of the maximum polynomial degree of a Bezier surface. This value is 25. More... | |
Describes a rational or non-rational Bezier surface.
Geom_BezierSurface::Geom_BezierSurface | ( | const TColgp_Array2OfPnt & | SurfacePoles | ) |
Creates a non-rational Bezier surface with a set of poles. Control points representation : SPoles(Uorigin,Vorigin) ...................SPoles(Uorigin,Vend) . . . . SPoles(Uend, Vorigin) .....................SPoles(Uend, Vend) For the double array the row indice corresponds to the parametric U direction and the columns indice corresponds to the parametric V direction. The weights are defaulted to all being 1.
Raised if the number of poles of the surface is lower than 2 or greater than MaxDegree + 1 in one of the two directions U or V.
Geom_BezierSurface::Geom_BezierSurface | ( | const TColgp_Array2OfPnt & | SurfacePoles, |
const TColStd_Array2OfReal & | PoleWeights | ||
) |
—Purpose Creates a rational Bezier surface with a set of poles and a set of weights. For the double array the row indice corresponds to the parametric U direction and the columns indice corresponds to the parametric V direction. If all the weights are identical the surface is considered as non-rational (the tolerance criterion is Resolution from package gp).
Raised if SurfacePoles and PoleWeights have not the same Rowlength or have not the same ColLength. Raised if PoleWeights (i, j) <= Resolution from gp; Raised if the number of poles of the surface is lower than 2 or greater than MaxDegree + 1 in one of the two directions U or V.
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Returns the parametric bounds U1, U2, V1 and V2 of this Bezier surface. In the case of a Bezier surface, this function returns U1 = 0, V1 = 0, U2 = 1, V2 = 1.
Implements Geom_Surface.
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Returns the continuity of the surface CN : the order of continuity is infinite.
Implements Geom_Surface.
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Creates a new object which is a copy of this Bezier surface.
Implements Geom_Geometry.
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Computes the point of parameter U,V on the surface.
Raised only for an "OffsetSurface" if it is not possible to compute the current point.
Implements Geom_Surface.
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Computes the point P and the first derivatives in the directions U and V at this point. Raised if the continuity of the surface is not C1.
Implements Geom_Surface.
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Computes the point P, the first and the second derivatives in the directions U and V at this point. Raised if the continuity of the surface is not C2.
Implements Geom_Surface.
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Computes P, the point of parameters (U, V) of this Bezier surface, and.
Implements Geom_Surface.
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Computes the derivative of order Nu in the u parametric direction, and Nv in the v parametric direction, at the point of parameters (U, V) of this Bezier surface. Note: The parameters U and V can be outside the bounds of the surface. Exceptions Standard_RangeError if:
Implements Geom_Surface.
void Geom_BezierSurface::ExchangeUV | ( | ) |
Exchanges the direction U and V on a Bezier surface As a consequence:
void Geom_BezierSurface::Increase | ( | const Standard_Integer | UDeg, |
const Standard_Integer | VDeg | ||
) |
Increases the degree of this Bezier surface in the two parametric directions.
Raised if UDegree < UDegree <me> or VDegree < VDegree <me> Raised if the degree of the surface is greater than MaxDegree in one of the two directions U or V.
void Geom_BezierSurface::InsertPoleColAfter | ( | const Standard_Integer | VIndex, |
const TColgp_Array1OfPnt & | CPoles | ||
) |
Inserts a column of poles. If the surface is rational the weights values associated with CPoles are equal defaulted to 1.
Raised if Vindex < 1 or VIndex > NbVPoles.
raises if VDegree is greater than MaxDegree. raises if the Length of CPoles is not equal to NbUPoles
void Geom_BezierSurface::InsertPoleColAfter | ( | const Standard_Integer | VIndex, |
const TColgp_Array1OfPnt & | CPoles, | ||
const TColStd_Array1OfReal & | CPoleWeights | ||
) |
Inserts a column of poles and weights. If the surface was non-rational it can become rational.
Raised if Vindex < 1 or VIndex > NbVPoles. Raised if . VDegree is greater than MaxDegree. . the Length of CPoles is not equal to NbUPoles . a weight value is lower or equal to Resolution from package gp
void Geom_BezierSurface::InsertPoleColBefore | ( | const Standard_Integer | VIndex, |
const TColgp_Array1OfPnt & | CPoles | ||
) |
Inserts a column of poles. If the surface is rational the weights values associated with CPoles are equal defaulted to 1.
Raised if Vindex < 1 or VIndex > NbVPoles.
Raised if VDegree is greater than MaxDegree. Raised if the Length of CPoles is not equal to NbUPoles
void Geom_BezierSurface::InsertPoleColBefore | ( | const Standard_Integer | VIndex, |
const TColgp_Array1OfPnt & | CPoles, | ||
const TColStd_Array1OfReal & | CPoleWeights | ||
) |
Inserts a column of poles and weights. If the surface was non-rational it can become rational.
Raised if Vindex < 1 or VIndex > NbVPoles. Raised if : . VDegree is greater than MaxDegree. . the Length of CPoles is not equal to NbUPoles . a weight value is lower or equal to Resolution from package gp
void Geom_BezierSurface::InsertPoleRowAfter | ( | const Standard_Integer | UIndex, |
const TColgp_Array1OfPnt & | CPoles | ||
) |
Inserts a row of poles. If the surface is rational the weights values associated with CPoles are equal defaulted to 1.
Raised if Uindex < 1 or UIndex > NbUPoles.
Raised if UDegree is greater than MaxDegree. Raised if the Length of CPoles is not equal to NbVPoles
void Geom_BezierSurface::InsertPoleRowAfter | ( | const Standard_Integer | UIndex, |
const TColgp_Array1OfPnt & | CPoles, | ||
const TColStd_Array1OfReal & | CPoleWeights | ||
) |
Inserts a row of poles and weights. If the surface was non-rational it can become rational.
Raised if Uindex < 1 or UIndex > NbUPoles. Raised if : . UDegree is greater than MaxDegree. . the Length of CPoles is not equal to NbVPoles . a weight value is lower or equal to Resolution from package gp
void Geom_BezierSurface::InsertPoleRowBefore | ( | const Standard_Integer | UIndex, |
const TColgp_Array1OfPnt & | CPoles | ||
) |
Inserts a row of poles. If the surface is rational the weights values associated with CPoles are equal defaulted to 1.
Raised if Uindex < 1 or UIndex > NbUPoles.
Raised if UDegree is greater than MaxDegree. Raised if the Length of CPoles is not equal to NbVPoles
void Geom_BezierSurface::InsertPoleRowBefore | ( | const Standard_Integer | UIndex, |
const TColgp_Array1OfPnt & | CPoles, | ||
const TColStd_Array1OfReal & | CPoleWeights | ||
) |
Inserts a row of poles and weights. If the surface was non-rational it can become rational.
Raised if Uindex < 1 or UIndex > NbUPoles. Raised if : . UDegree is greater than MaxDegree. . the Length of CPoles is not equal to NbVPoles . a weight value is lower or equal to Resolution from pacakage gp
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Returns True, a Bezier surface is always CN.
Implements Geom_Surface.
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Returns True, a BezierSurface is always CN.
Implements Geom_Surface.
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Returns True if the first control points row and the last control points row are identical. The tolerance criterion is Resolution from package gp.
Implements Geom_Surface.
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Returns False.
Implements Geom_Surface.
Standard_Boolean Geom_BezierSurface::IsURational | ( | ) | const |
Returns False if the weights are identical in the U direction, The tolerance criterion is Resolution from package gp. Example : |1.0, 1.0, 1.0| if Weights = |0.5, 0.5, 0.5| returns False |2.0, 2.0, 2.0|.
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Returns True if the first control points column and the last control points column are identical. The tolerance criterion is Resolution from package gp.
Implements Geom_Surface.
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Returns False.
Implements Geom_Surface.
Standard_Boolean Geom_BezierSurface::IsVRational | ( | ) | const |
Returns False if the weights are identical in the V direction, The tolerance criterion is Resolution from package gp. Example : |1.0, 2.0, 0.5| if Weights = |1.0, 2.0, 0.5| returns False |1.0, 2.0, 0.5|.
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Returns the value of the maximum polynomial degree of a Bezier surface. This value is 25.
Standard_Integer Geom_BezierSurface::NbUPoles | ( | ) | const |
Returns the number of poles in the U direction.
Standard_Integer Geom_BezierSurface::NbVPoles | ( | ) | const |
Returns the number of poles in the V direction.
gp_Pnt Geom_BezierSurface::Pole | ( | const Standard_Integer | UIndex, |
const Standard_Integer | VIndex | ||
) | const |
Returns the pole of range UIndex, VIndex Raised if UIndex < 1 or UIndex > NbUPoles, or VIndex < 1 or VIndex > NbVPoles.
void Geom_BezierSurface::Poles | ( | TColgp_Array2OfPnt & | P | ) | const |
Returns the poles of the Bezier surface.
Raised if the length of P in the U an V direction is not equal to NbUPoles and NbVPoles.
void Geom_BezierSurface::RemovePoleCol | ( | const Standard_Integer | VIndex | ) |
Removes a column of poles. If the surface was rational it can become non-rational.
Raised if NbVPoles <= 2 after removing, a Bezier surface must have at least two columns of poles. Raised if Vindex < 1 or VIndex > NbVPoles
void Geom_BezierSurface::RemovePoleRow | ( | const Standard_Integer | UIndex | ) |
Removes a row of poles. If the surface was rational it can become non-rational.
Raised if NbUPoles <= 2 after removing, a Bezier surface must have at least two rows of poles. Raised if Uindex < 1 or UIndex > NbUPoles
void Geom_BezierSurface::Resolution | ( | const Standard_Real | Tolerance3D, |
Standard_Real & | UTolerance, | ||
Standard_Real & | VTolerance | ||
) |
Computes two tolerance values for this Bezier surface, based on the given tolerance in 3D space Tolerance3D. The tolerances computed are:
void Geom_BezierSurface::Segment | ( | const Standard_Real | U1, |
const Standard_Real | U2, | ||
const Standard_Real | V1, | ||
const Standard_Real | V2 | ||
) |
Modifies this Bezier surface by segmenting it between U1 and U2 in the u parametric direction, and between V1 and V2 in the v parametric direction. U1, U2, V1, and V2 can be outside the bounds of this surface.
void Geom_BezierSurface::SetPole | ( | const Standard_Integer | UIndex, |
const Standard_Integer | VIndex, | ||
const gp_Pnt & | P | ||
) |
Modifies a pole value. If the surface is rational the weight of range (UIndex, VIndex) is not modified.
Raised if UIndex < 1 or UIndex > NbUPoles or VIndex < 1 or VIndex > NbVPoles.
void Geom_BezierSurface::SetPole | ( | const Standard_Integer | UIndex, |
const Standard_Integer | VIndex, | ||
const gp_Pnt & | P, | ||
const Standard_Real | Weight | ||
) |
Substitutes the pole and the weight of range UIndex, VIndex. If the surface <me> is not rational it can become rational. if the surface was rational it can become non-rational.
raises if UIndex < 1 or UIndex > NbUPoles or VIndex < 1 or VIndex > NbVPoles. Raised if Weight <= Resolution from package gp.
void Geom_BezierSurface::SetPoleCol | ( | const Standard_Integer | VIndex, |
const TColgp_Array1OfPnt & | CPoles | ||
) |
Modifies a column of poles. The length of CPoles can be lower but not greater than NbUPoles so you can modify just a part of the column. Raised if VIndex < 1 or VIndex > NbVPoles.
Raised if CPoles.Lower() < 1 or CPoles.Upper() > NbUPoles
void Geom_BezierSurface::SetPoleCol | ( | const Standard_Integer | VIndex, |
const TColgp_Array1OfPnt & | CPoles, | ||
const TColStd_Array1OfReal & | CPoleWeights | ||
) |
Modifies a column of poles. If the surface was rational it can become non-rational If the surface was non-rational it can become rational. The length of CPoles can be lower but not greater than NbUPoles so you can modify just a part of the column. Raised if VIndex < 1 or VIndex > NbVPoles.
Raised if CPoles.Lower() < 1 or CPoles.Upper() > NbUPoles Raised if CPoleWeights and CPoles have not the same bounds. Raised if one of the weight value CPoleWeights (i) is lower or equal to Resolution from package gp.
void Geom_BezierSurface::SetPoleRow | ( | const Standard_Integer | UIndex, |
const TColgp_Array1OfPnt & | CPoles | ||
) |
Modifies a row of poles. The length of CPoles can be lower but not greater than NbVPoles so you can modify just a part of the row. Raised if UIndex < 1 or UIndex > NbUPoles.
Raised if CPoles.Lower() < 1 or CPoles.Upper() > NbVPoles
void Geom_BezierSurface::SetPoleRow | ( | const Standard_Integer | UIndex, |
const TColgp_Array1OfPnt & | CPoles, | ||
const TColStd_Array1OfReal & | CPoleWeights | ||
) |
Modifies a row of poles and weights. If the surface was rational it can become non-rational. If the surface was non-rational it can become rational. The length of CPoles can be lower but not greater than NbVPoles so you can modify just a part of the row. Raised if UIndex < 1 or UIndex > NbUPoles.
Raised if CPoles.Lower() < 1 or CPoles.Upper() > NbVPoles Raised if CPoleWeights and CPoles have not the same bounds. Raised if one of the weight value CPoleWeights (i) is lower or equal to Resolution from gp.
void Geom_BezierSurface::SetWeight | ( | const Standard_Integer | UIndex, |
const Standard_Integer | VIndex, | ||
const Standard_Real | Weight | ||
) |
Modifies the weight of the pole of range UIndex, VIndex. If the surface was non-rational it can become rational. If the surface was rational it can become non-rational.
Raised if UIndex < 1 or UIndex > NbUPoles or VIndex < 1 or VIndex > NbVPoles. Raised if Weight <= Resolution from package gp.
void Geom_BezierSurface::SetWeightCol | ( | const Standard_Integer | VIndex, |
const TColStd_Array1OfReal & | CPoleWeights | ||
) |
Modifies a column of weights. If the surface was rational it can become non-rational. If the surface was non-rational it can become rational. The length of CPoleWeights can be lower but not greater than NbUPoles. Raised if VIndex < 1 or VIndex > NbVPoles.
Raised if CPoleWeights.Lower() < 1 or CPoleWeights.Upper() > NbUPoles Raised if one of the weight value CPoleWeights (i) is lower or equal to Resolution from package gp.
void Geom_BezierSurface::SetWeightRow | ( | const Standard_Integer | UIndex, |
const TColStd_Array1OfReal & | CPoleWeights | ||
) |
Modifies a row of weights. If the surface was rational it can become non-rational. If the surface was non-rational it can become rational. The length of CPoleWeights can be lower but not greater than NbVPoles. Raised if UIndex < 1 or UIndex > NbUPoles.
Raised if CPoleWeights.Lower() < 1 or CPoleWeights.Upper() > NbVPoles Raised if one of the weight value CPoleWeights (i) is lower or equal to Resolution from package gp.
|
virtual |
Applies the transformation T to this Bezier surface.
Implements Geom_Geometry.
Standard_Integer Geom_BezierSurface::UDegree | ( | ) | const |
Returns the degree of the surface in the U direction it is NbUPoles - 1.
|
virtual |
Computes the U isoparametric curve. For a Bezier surface the UIso curve is a Bezier curve.
Implements Geom_Surface.
|
virtual |
Changes the orientation of this Bezier surface in the u parametric direction. The bounds of the surface are not changed, but the given parametric direction is reversed. Hence, the orientation of the surface is reversed.
Implements Geom_Surface.
|
virtual |
Computes the u (or v) parameter on the modified surface, produced by reversing its u (or v) parametric direction, for any point of u parameter U (or of v parameter V) on this Bezier surface. In the case of a Bezier surface, these functions return respectively:
Implements Geom_Surface.
Standard_Integer Geom_BezierSurface::VDegree | ( | ) | const |
Returns the degree of the surface in the V direction it is NbVPoles - 1.
|
virtual |
Computes the V isoparametric curve. For a Bezier surface the VIso curve is a Bezier curve.
Implements Geom_Surface.
|
virtual |
Changes the orientation of this Bezier surface in the v parametric direction. The bounds of the surface are not changed, but the given parametric direction is reversed. Hence, the orientation of the surface is reversed.
Implements Geom_Surface.
|
virtual |
Computes the u (or v) parameter on the modified surface, produced by reversing its u (or v) parametric direction, for any point of u parameter U (or of v parameter V) on this Bezier surface. In the case of a Bezier surface, these functions return respectively:
Implements Geom_Surface.
Standard_Real Geom_BezierSurface::Weight | ( | const Standard_Integer | UIndex, |
const Standard_Integer | VIndex | ||
) | const |
Returns the weight of range UIndex, VIndex.
Raised if UIndex < 1 or UIndex > NbUPoles, or VIndex < 1 or VIndex > NbVPoles.
void Geom_BezierSurface::Weights | ( | TColStd_Array2OfReal & | W | ) | const |
Returns the weights of the Bezier surface.
Raised if the length of W in the U an V direction is not equal to NbUPoles and NbVPoles.