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Open CASCADE Technology Reference Manual 8.0.0
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Describes a portion of a surface (a patch) limited by two values of the u parameter in the u parametric direction, and two values of the v parameter in the v parametric direction. The domain of the trimmed surface must be within the domain of the surface being trimmed. The trimmed surface is defined by: More...
#include <Geom_RectangularTrimmedSurface.hxx>

Public Member Functions | |
| Geom_RectangularTrimmedSurface (const occ::handle< Geom_Surface > &S, const double U1, const double U2, const double V1, const double V2, const bool USense=true, const bool VSense=true) | |
| The U parametric direction of the surface is oriented from U1 to U2. The V parametric direction of the surface is oriented from V1 to V2. These two directions define the orientation of the surface (normal). If the surface is not periodic USense and VSense are not used for the construction. If the surface S is periodic in one direction USense and VSense give the available part of the surface. By default in this case the surface has the same orientation as the basis surface S. The returned surface is not closed and not periodic. ConstructionError Raised if S is not periodic in the UDirection and U1 or U2 are out of the bounds of S. S is not periodic in the VDirection and V1 or V2 are out of the bounds of S. U1 = U2 or V1 = V2. | |
| Geom_RectangularTrimmedSurface (const occ::handle< Geom_Surface > &S, const double Param1, const double Param2, const bool UTrim, const bool Sense=true) | |
| The basis surface S is only trim in one parametric direction. If UTrim = True the surface is trimmed in the U parametric direction else the surface is trimmed in the V parametric direction. In the considered parametric direction the resulting surface is oriented from Param1 to Param2. If S is periodic Sense gives the available part of the surface. By default the trimmed surface has the same orientation as the basis surface S in the considered parametric direction (Sense = True). If the basis surface S is closed or periodic in the parametric direction opposite to the trimming direction the trimmed surface has the same characteristics as the surface S in this direction. Warnings : In this package the entities are not shared. The RectangularTrimmedSurface is built with a copy of the surface S. So when S is modified the RectangularTrimmedSurface is not modified Raised if S is not periodic in the considered parametric direction and Param1 or Param2 are out of the bounds of S. Param1 = Param2. | |
| void | SetTrim (const double U1, const double U2, const double V1, const double V2, const bool USense=true, const bool VSense=true) |
| Modifies this patch by changing the trim values applied to the original surface The u parametric direction of this patch is oriented from U1 to U2. The v parametric direction of this patch is oriented from V1 to V2. USense and VSense are used for the construction only if the surface is periodic in the corresponding parametric direction, and define the available part of the surface; by default in this case, this patch has the same orientation as the basis surface. Raised if The BasisSurface is not periodic in the UDirection and U1 or U2 are out of the bounds of the BasisSurface. The BasisSurface is not periodic in the VDirection and V1 or V2 are out of the bounds of the BasisSurface. U1 = U2 or V1 = V2. | |
| void | SetTrim (const double Param1, const double Param2, const bool UTrim, const bool Sense=true) |
| Modifies this patch by changing the trim values applied to the original surface The basis surface is trimmed only in one parametric direction: if UTrim is true, the surface is trimmed in the u parametric direction; if it is false, it is trimmed in the v parametric direction. In the "trimmed" direction, this patch is oriented from Param1 to Param2. If the basis surface is periodic in the "trimmed" direction, Sense defines its available part. By default in this case, this patch has the same orientation as the basis surface in this parametric direction. If the basis surface is closed or periodic in the other parametric direction (i.e. not the "trimmed" direction), this patch has the same characteristics as the basis surface in that parametric direction. Raised if The BasisSurface is not periodic in the considered direction and Param1 or Param2 are out of the bounds of the BasisSurface. Param1 = Param2. | |
| occ::handle< Geom_Surface > | BasisSurface () const |
| Returns the Basis surface of <me>. | |
| void | UReverse () final |
| Changes the orientation of this patch 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. | |
| double | UReversedParameter (const double U) const final |
| Computes the u parameter on the modified surface, produced by when reversing its u parametric direction, for any point of u parameter U on this patch. | |
| void | VReverse () final |
| Changes the orientation of this patch 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. | |
| double | VReversedParameter (const double V) const final |
| Computes the v parameter on the modified surface, produced by when reversing its v parametric direction, for any point of v parameter V on this patch. | |
| void | Bounds (double &U1, double &U2, double &V1, double &V2) const final |
| Returns the parametric bounds U1, U2, V1 and V2 of this patch. | |
| GeomAbs_Shape | Continuity () const final |
| Returns the continuity of the surface : C0 : only geometric continuity, C1 : continuity of the first derivative all along the Surface, C2 : continuity of the second derivative all along the Surface, C3 : continuity of the third derivative all along the Surface, CN : the order of continuity is infinite. | |
| bool | IsUClosed () const final |
| Returns true if this patch is closed in U: either not trimmed in U and the basis surface is U-closed, or trimmed with a length that is an integer multiple of the U period of a U-periodic basis surface. | |
| bool | IsVClosed () const final |
| Returns true if this patch is closed in V: either not trimmed in V and the basis surface is V-closed, or trimmed with a length that is an integer multiple of the V period of a V-periodic basis surface. | |
| bool | IsCNu (const int N) const final |
| Returns true if the order of derivation in the U parametric direction is N. Raised if N < 0. | |
| bool | IsCNv (const int N) const final |
| Returns true if the order of derivation in the V parametric direction is N. Raised if N < 0. | |
| bool | IsUPeriodic () const final |
| Returns true if the basis surface is U-periodic and either not trimmed in U, or the trim spans an integer multiple of the U period. | |
| double | UPeriod () const final |
| Returns the period of this patch in the u parametric direction. raises if the surface is not uperiodic. | |
| bool | IsVPeriodic () const final |
| Returns true if the basis surface is V-periodic and either not trimmed in V, or the trim spans an integer multiple of the V period. | |
| double | VPeriod () const final |
| Returns the period of this patch in the v parametric direction. raises if the surface is not vperiodic. value and derivatives. | |
| occ::handle< Geom_Curve > | UIso (const double U) const final |
| computes the U isoparametric curve. | |
| occ::handle< Geom_Curve > | VIso (const double V) const final |
| Computes the V isoparametric curve. | |
| gp_Pnt | EvalD0 (const double U, const double V) const final |
| Computes the point of parameter (U, V) on the surface. Can be raised if the basis surface is an OffsetSurface. Raises an exception on failure. | |
| Geom_Surface::ResD1 | EvalD1 (const double U, const double V) const final |
| Computes the point and first partial derivatives at (U, V). The returned derivatives have the same orientation as the derivatives of the basis surface even if the trimmed surface has not the same parametric orientation. Raises an exception if the surface continuity is not C1. | |
| Geom_Surface::ResD2 | EvalD2 (const double U, const double V) const final |
| Computes the point and partial derivatives up to 2nd order at (U, V). The returned derivatives have the same orientation as the derivatives of the basis surface even if the trimmed surface has not the same parametric orientation. Raises an exception if the surface continuity is not C2. | |
| Geom_Surface::ResD3 | EvalD3 (const double U, const double V) const final |
| Computes the point and partial derivatives up to 3rd order at (U, V). The returned derivatives have the same orientation as the derivatives of the basis surface even if the trimmed surface has not the same parametric orientation. Raises an exception if the surface continuity is not C3. | |
| gp_Vec | EvalDN (const double U, const double V, const int Nu, const int Nv) const final |
| Computes the derivative of order Nu in U and Nv in V at (U, V). The returned derivative has the same orientation as the derivative of the basis surface even if the trimmed surface has not the same parametric orientation. Raises an exception on failure. RangeError Raised if Nu + Nv < 1 or Nu < 0 or Nv < 0. | |
| void | Transform (const gp_Trsf &T) final |
| Applies the transformation T to this patch. Warning As a consequence, the basis surface included in the data structure of this patch is also modified. | |
| void | TransformParameters (double &U, double &V, const gp_Trsf &T) const final |
| Computes the parameters on the transformed surface for the transform of the point of parameters U,V on <me>. | |
| gp_GTrsf2d | ParametricTransformation (const gp_Trsf &T) const final |
| Returns a 2d transformation used to find the new parameters of a point on the transformed surface. | |
| occ::handle< Geom_Geometry > | Copy () const final |
| Creates a new object which is a copy of this patch. | |
| void | DumpJson (Standard_OStream &theOStream, int theDepth=-1) const final |
| Dumps the content of me into the stream. | |
Public Member Functions inherited from Geom_Surface | |
| occ::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. | |
| occ::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. | |
| void | D0 (const double U, const double V, gp_Pnt &P) const |
| Computes the point of parameter (U, V). | |
| void | D1 (const double U, const double V, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V) const |
| Computes the point and first partial derivatives. | |
| void | D2 (const double U, const double V, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V, gp_Vec &D2U, gp_Vec &D2V, gp_Vec &D2UV) const |
| Computes the point and partial derivatives up to 2nd order. | |
| void | D3 (const double U, const double 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 the point and partial derivatives up to 3rd order. | |
| gp_Vec | DN (const double U, const double V, const int Nu, const int Nv) const |
| Computes the derivative of order Nu in U and Nv in V. | |
| gp_Pnt | Value (const double U, const double V) const |
| Computes the point of parameter (U, V) on the surface. | |
| void | DumpJson (Standard_OStream &theOStream, int theDepth=-1) const override |
| Dumps the content of me into the stream. | |
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. | |
| 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. | |
| 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). | |
| void | Rotate (const gp_Ax1 &A1, const double Ang) |
| Rotates a Geometry. A1 is the axis of the rotation. Ang is the angular value of the rotation in radians. | |
| void | Scale (const gp_Pnt &P, const double S) |
| Scales a Geometry. S is the scaling value. | |
| void | Translate (const gp_Vec &V) |
| Translates a Geometry. V is the vector of the translation. | |
| void | Translate (const gp_Pnt &P1, const gp_Pnt &P2) |
| Translates a Geometry from the point P1 to the point P2. | |
| occ::handle< Geom_Geometry > | Mirrored (const gp_Pnt &P) const |
| occ::handle< Geom_Geometry > | Mirrored (const gp_Ax1 &A1) const |
| occ::handle< Geom_Geometry > | Mirrored (const gp_Ax2 &A2) const |
| occ::handle< Geom_Geometry > | Rotated (const gp_Ax1 &A1, const double Ang) const |
| occ::handle< Geom_Geometry > | Scaled (const gp_Pnt &P, const double S) const |
| occ::handle< Geom_Geometry > | Transformed (const gp_Trsf &T) const |
| occ::handle< Geom_Geometry > | Translated (const gp_Vec &V) const |
| occ::handle< Geom_Geometry > | Translated (const gp_Pnt &P1, const gp_Pnt &P2) const |
Public Member Functions inherited from Standard_Transient | |
| Standard_Transient () | |
| Empty constructor. | |
| Standard_Transient (const Standard_Transient &) | |
| Copy constructor – does nothing. | |
| Standard_Transient & | operator= (const Standard_Transient &) |
| Assignment operator, needed to avoid copying reference counter. | |
| virtual | ~Standard_Transient ()=default |
| Destructor must be virtual. | |
| virtual const opencascade::handle< Standard_Type > & | DynamicType () const |
| Returns a type descriptor about this object. | |
| bool | IsInstance (const opencascade::handle< Standard_Type > &theType) const |
| Returns a true value if this is an instance of Type. | |
| bool | IsInstance (const char *const theTypeName) const |
| Returns a true value if this is an instance of TypeName. | |
| bool | IsKind (const opencascade::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. | |
| bool | IsKind (const char *const 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. | |
| Standard_Transient * | This () const |
| Returns non-const pointer to this object (like const_cast). For protection against creating handle to objects allocated in stack or call from constructor, it will raise exception Standard_ProgramError if reference counter is zero. | |
| int | GetRefCount () const noexcept |
| Get the reference counter of this object. | |
| void | IncrementRefCounter () noexcept |
| Increments the reference counter of this object. Uses relaxed memory ordering since incrementing only requires atomicity, not synchronization with other memory operations. | |
| int | DecrementRefCounter () noexcept |
| Decrements the reference counter of this object; returns the decremented value. Uses release ordering for the decrement to ensure all writes to the object are visible before the count reaches zero. An acquire fence is added only when the count reaches zero, ensuring proper synchronization before deletion. This is more efficient than using acq_rel for every decrement. | |
| virtual void | Delete () const |
| Memory deallocator for transient classes. | |
Additional Inherited Members | |
Public Types inherited from Standard_Transient | |
| typedef void | base_type |
| Returns a type descriptor about this object. | |
Static Public Member Functions inherited from Standard_Transient | |
| static constexpr const char * | get_type_name () |
| Returns a type descriptor about this object. | |
| static const opencascade::handle< Standard_Type > & | get_type_descriptor () |
| Returns type descriptor of Standard_Transient class. | |
Describes a portion of a surface (a patch) limited by two values of the u parameter in the u parametric direction, and two values of the v parameter in the v parametric direction. The domain of the trimmed surface must be within the domain of the surface being trimmed. The trimmed surface is defined by:
| Geom_RectangularTrimmedSurface::Geom_RectangularTrimmedSurface | ( | const occ::handle< Geom_Surface > & | S, |
| const double | U1, | ||
| const double | U2, | ||
| const double | V1, | ||
| const double | V2, | ||
| const bool | USense = true, | ||
| const bool | VSense = true ) |
The U parametric direction of the surface is oriented from U1 to U2. The V parametric direction of the surface is oriented from V1 to V2. These two directions define the orientation of the surface (normal). If the surface is not periodic USense and VSense are not used for the construction. If the surface S is periodic in one direction USense and VSense give the available part of the surface. By default in this case the surface has the same orientation as the basis surface S. The returned surface is not closed and not periodic. ConstructionError Raised if S is not periodic in the UDirection and U1 or U2 are out of the bounds of S. S is not periodic in the VDirection and V1 or V2 are out of the bounds of S. U1 = U2 or V1 = V2.
| Geom_RectangularTrimmedSurface::Geom_RectangularTrimmedSurface | ( | const occ::handle< Geom_Surface > & | S, |
| const double | Param1, | ||
| const double | Param2, | ||
| const bool | UTrim, | ||
| const bool | Sense = true ) |
The basis surface S is only trim in one parametric direction. If UTrim = True the surface is trimmed in the U parametric direction else the surface is trimmed in the V parametric direction. In the considered parametric direction the resulting surface is oriented from Param1 to Param2. If S is periodic Sense gives the available part of the surface. By default the trimmed surface has the same orientation as the basis surface S in the considered parametric direction (Sense = True). If the basis surface S is closed or periodic in the parametric direction opposite to the trimming direction the trimmed surface has the same characteristics as the surface S in this direction. Warnings : In this package the entities are not shared. The RectangularTrimmedSurface is built with a copy of the surface S. So when S is modified the RectangularTrimmedSurface is not modified Raised if S is not periodic in the considered parametric direction and Param1 or Param2 are out of the bounds of S. Param1 = Param2.
| occ::handle< Geom_Surface > Geom_RectangularTrimmedSurface::BasisSurface | ( | ) | const |
Returns the Basis surface of <me>.
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finalvirtual |
Returns the parametric bounds U1, U2, V1 and V2 of this patch.
Implements Geom_Surface.
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finalvirtual |
Returns the continuity of the surface : C0 : only geometric continuity, C1 : continuity of the first derivative all along the Surface, C2 : continuity of the second derivative all along the Surface, C3 : continuity of the third derivative all along the Surface, CN : the order of continuity is infinite.
Implements Geom_Surface.
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finalvirtual |
Creates a new object which is a copy of this patch.
Implements Geom_Geometry.
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finalvirtual |
Dumps the content of me into the stream.
Reimplemented from Geom_Geometry.
Computes the point of parameter (U, V) on the surface. Can be raised if the basis surface is an OffsetSurface. Raises an exception on failure.
Implements Geom_Surface.
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finalvirtual |
Computes the point and first partial derivatives at (U, V). The returned derivatives have the same orientation as the derivatives of the basis surface even if the trimmed surface has not the same parametric orientation. Raises an exception if the surface continuity is not C1.
Implements Geom_Surface.
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finalvirtual |
Computes the point and partial derivatives up to 2nd order at (U, V). The returned derivatives have the same orientation as the derivatives of the basis surface even if the trimmed surface has not the same parametric orientation. Raises an exception if the surface continuity is not C2.
Implements Geom_Surface.
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finalvirtual |
Computes the point and partial derivatives up to 3rd order at (U, V). The returned derivatives have the same orientation as the derivatives of the basis surface even if the trimmed surface has not the same parametric orientation. Raises an exception if the surface continuity is not C3.
Implements Geom_Surface.
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finalvirtual |
Computes the derivative of order Nu in U and Nv in V at (U, V). The returned derivative has the same orientation as the derivative of the basis surface even if the trimmed surface has not the same parametric orientation. Raises an exception on failure. RangeError Raised if Nu + Nv < 1 or Nu < 0 or Nv < 0.
Implements Geom_Surface.
Returns true if the order of derivation in the U parametric direction is N. Raised if N < 0.
Implements Geom_Surface.
Returns true if the order of derivation in the V parametric direction is N. Raised if N < 0.
Implements Geom_Surface.
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finalvirtual |
Returns true if this patch is closed in U: either not trimmed in U and the basis surface is U-closed, or trimmed with a length that is an integer multiple of the U period of a U-periodic basis surface.
Implements Geom_Surface.
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finalvirtual |
Returns true if the basis surface is U-periodic and either not trimmed in U, or the trim spans an integer multiple of the U period.
Implements Geom_Surface.
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finalvirtual |
Returns true if this patch is closed in V: either not trimmed in V and the basis surface is V-closed, or trimmed with a length that is an integer multiple of the V period of a V-periodic basis surface.
Implements Geom_Surface.
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finalvirtual |
Returns true if the basis surface is V-periodic and either not trimmed in V, or the trim spans an integer multiple of the V period.
Implements Geom_Surface.
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finalvirtual |
Returns a 2d transformation used to find the new parameters of a point on the transformed surface.
is the same point as
Where U',V' are obtained by transforming U,V with the 2d transformation returned by
This method calls the basis surface method.
Reimplemented from Geom_Surface.
| void Geom_RectangularTrimmedSurface::SetTrim | ( | const double | Param1, |
| const double | Param2, | ||
| const bool | UTrim, | ||
| const bool | Sense = true ) |
Modifies this patch by changing the trim values applied to the original surface The basis surface is trimmed only in one parametric direction: if UTrim is true, the surface is trimmed in the u parametric direction; if it is false, it is trimmed in the v parametric direction. In the "trimmed" direction, this patch is oriented from Param1 to Param2. If the basis surface is periodic in the "trimmed" direction, Sense defines its available part. By default in this case, this patch has the same orientation as the basis surface in this parametric direction. If the basis surface is closed or periodic in the other parametric direction (i.e. not the "trimmed" direction), this patch has the same characteristics as the basis surface in that parametric direction. Raised if The BasisSurface is not periodic in the considered direction and Param1 or Param2 are out of the bounds of the BasisSurface. Param1 = Param2.
| void Geom_RectangularTrimmedSurface::SetTrim | ( | const double | U1, |
| const double | U2, | ||
| const double | V1, | ||
| const double | V2, | ||
| const bool | USense = true, | ||
| const bool | VSense = true ) |
Modifies this patch by changing the trim values applied to the original surface The u parametric direction of this patch is oriented from U1 to U2. The v parametric direction of this patch is oriented from V1 to V2. USense and VSense are used for the construction only if the surface is periodic in the corresponding parametric direction, and define the available part of the surface; by default in this case, this patch has the same orientation as the basis surface. Raised if The BasisSurface is not periodic in the UDirection and U1 or U2 are out of the bounds of the BasisSurface. The BasisSurface is not periodic in the VDirection and V1 or V2 are out of the bounds of the BasisSurface. U1 = U2 or V1 = V2.
Applies the transformation T to this patch. Warning As a consequence, the basis surface included in the data structure of this patch is also modified.
Implements Geom_Geometry.
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finalvirtual |
Computes the parameters on the transformed surface for the transform of the point of parameters U,V on <me>.
is the same point as
Where U',V' are the new values of U,V after calling
This method calls the basis surface method.
Reimplemented from Geom_Surface.
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finalvirtual |
computes the U isoparametric curve.
Implements Geom_Surface.
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finalvirtual |
Returns the period of this patch in the u parametric direction. raises if the surface is not uperiodic.
Reimplemented from Geom_Surface.
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finalvirtual |
Changes the orientation of this patch 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.
Computes the u parameter on the modified surface, produced by when reversing its u parametric direction, for any point of u parameter U on this patch.
Implements Geom_Surface.
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finalvirtual |
Computes the V isoparametric curve.
Implements Geom_Surface.
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finalvirtual |
Returns the period of this patch in the v parametric direction. raises if the surface is not vperiodic. value and derivatives.
Reimplemented from Geom_Surface.
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finalvirtual |
Changes the orientation of this patch 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.
Computes the v parameter on the modified surface, produced by when reversing its v parametric direction, for any point of v parameter V on this patch.
Implements Geom_Surface.