Open CASCADE Technology
7.7.0
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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 Handle< Geom_Surface > &S, const Standard_Real U1, const Standard_Real U2, const Standard_Real V1, const Standard_Real V2, const Standard_Boolean USense=Standard_True, const Standard_Boolean VSense=Standard_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. More... | |
Geom_RectangularTrimmedSurface (const Handle< Geom_Surface > &S, const Standard_Real Param1, const Standard_Real Param2, const Standard_Boolean UTrim, const Standard_Boolean Sense=Standard_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. More... | |
void | SetTrim (const Standard_Real U1, const Standard_Real U2, const Standard_Real V1, const Standard_Real V2, const Standard_Boolean USense=Standard_True, const Standard_Boolean VSense=Standard_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. More... | |
void | SetTrim (const Standard_Real Param1, const Standard_Real Param2, const Standard_Boolean UTrim, const Standard_Boolean Sense=Standard_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. More... | |
Handle< Geom_Surface > | BasisSurface () const |
Returns the Basis surface of <me>. More... | |
void | UReverse () override |
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. More... | |
Standard_Real | UReversedParameter (const Standard_Real U) const override |
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. More... | |
void | VReverse () override |
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. More... | |
Standard_Real | VReversedParameter (const Standard_Real V) const override |
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. More... | |
void | Bounds (Standard_Real &U1, Standard_Real &U2, Standard_Real &V1, Standard_Real &V2) const override |
Returns the parametric bounds U1, U2, V1 and V2 of this patch. More... | |
GeomAbs_Shape | Continuity () const override |
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. More... | |
Standard_Boolean | IsUClosed () const override |
Returns true if this patch is closed in the given parametric direction. More... | |
Standard_Boolean | IsVClosed () const override |
Returns true if this patch is closed in the given parametric direction. More... | |
Standard_Boolean | IsCNu (const Standard_Integer N) const override |
Returns true if the order of derivation in the U parametric direction is N. Raised if N < 0. More... | |
Standard_Boolean | IsCNv (const Standard_Integer N) const override |
Returns true if the order of derivation in the V parametric direction is N. Raised if N < 0. More... | |
Standard_Boolean | IsUPeriodic () const override |
Returns true if this patch is periodic and not trimmed in the given parametric direction. More... | |
virtual Standard_Real | UPeriod () const override |
Returns the period of this patch in the u parametric direction. raises if the surface is not uperiodic. More... | |
Standard_Boolean | IsVPeriodic () const override |
Returns true if this patch is periodic and not trimmed in the given parametric direction. More... | |
virtual Standard_Real | VPeriod () const override |
Returns the period of this patch in the v parametric direction. raises if the surface is not vperiodic. value and derivatives. More... | |
Handle< Geom_Curve > | UIso (const Standard_Real U) const override |
computes the U isoparametric curve. More... | |
Handle< Geom_Curve > | VIso (const Standard_Real V) const override |
Computes the V isoparametric curve. More... | |
void | D0 (const Standard_Real U, const Standard_Real V, gp_Pnt &P) const override |
Can be raised if the basis surface is an OffsetSurface. More... | |
void | D1 (const Standard_Real U, const Standard_Real V, gp_Pnt &P, gp_Vec &D1U, gp_Vec &D1V) const override |
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. Warning! UndefinedDerivative 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 override |
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. Warning! UndefinedDerivative 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 override |
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. Warning UndefinedDerivative raised if the continuity of the surface is not C3. More... | |
gp_Vec | DN (const Standard_Real U, const Standard_Real V, const Standard_Integer Nu, const Standard_Integer Nv) const override |
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. Warning! UndefinedDerivative raised if the continuity of the surface is not CNu in the U parametric direction and CNv in the V parametric direction. RangeError Raised if Nu + Nv < 1 or Nu < 0 or Nv < 0. More... | |
void | Transform (const gp_Trsf &T) override |
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. More... | |
virtual void | TransformParameters (Standard_Real &U, Standard_Real &V, const gp_Trsf &T) const override |
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 override |
Returns a 2d transformation used to find the new parameters of a point on the transformed surface. More... | |
Handle< Geom_Geometry > | Copy () const override |
Creates a new object which is a copy of this patch. More... | |
virtual void | DumpJson (Standard_OStream &theOStream, Standard_Integer theDepth=-1) const override |
Dumps the content of me into the stream. More... | |
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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... | |
gp_Pnt | Value (const Standard_Real U, const Standard_Real V) const |
Computes the point of parameter (U, V) on the surface. More... | |
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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 translation. 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 |
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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 void | Delete () const |
Memory deallocator for transient classes. More... | |
virtual const opencascade::handle< Standard_Type > & | DynamicType () const |
Returns a type descriptor about this object. More... | |
Standard_Boolean | IsInstance (const opencascade::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 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. 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... | |
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. More... | |
Standard_Integer | GetRefCount () const |
Get the reference counter of this object. More... | |
void | IncrementRefCounter () const |
Increments the reference counter of this object. More... | |
Standard_Integer | DecrementRefCounter () const |
Decrements the reference counter of this object; returns the decremented value. More... | |
Additional Inherited Members | |
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typedef void | base_type |
Returns a type descriptor about this object. More... | |
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static const char * | get_type_name () |
Returns a type descriptor about this object. More... | |
static const opencascade::handle< Standard_Type > & | get_type_descriptor () |
Returns type descriptor of Standard_Transient class. More... | |
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 Handle< Geom_Surface > & | S, |
const Standard_Real | U1, | ||
const Standard_Real | U2, | ||
const Standard_Real | V1, | ||
const Standard_Real | V2, | ||
const Standard_Boolean | USense = Standard_True , |
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const Standard_Boolean | VSense = Standard_True |
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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 Handle< Geom_Surface > & | S, |
const Standard_Real | Param1, | ||
const Standard_Real | Param2, | ||
const Standard_Boolean | UTrim, | ||
const Standard_Boolean | Sense = Standard_True |
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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.
Handle< Geom_Surface > Geom_RectangularTrimmedSurface::BasisSurface | ( | ) | const |
Returns the Basis surface of <me>.
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Returns the parametric bounds U1, U2, V1 and V2 of this patch.
Implements Geom_Surface.
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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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Creates a new object which is a copy of this patch.
Implements Geom_Geometry.
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Can be raised if the basis surface is an OffsetSurface.
Implements Geom_Surface.
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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. Warning! UndefinedDerivative raised if the continuity of the surface is not C1.
Implements Geom_Surface.
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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. Warning! UndefinedDerivative raised if the continuity of the surface is not C2.
Implements Geom_Surface.
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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. Warning UndefinedDerivative raised if the continuity of the surface is not C3.
Implements Geom_Surface.
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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. Warning! UndefinedDerivative raised if the continuity of the surface is not CNu in the U parametric direction and CNv in the V parametric direction. RangeError Raised if Nu + Nv < 1 or Nu < 0 or Nv < 0.
Implements Geom_Surface.
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Dumps the content of me into the stream.
Reimplemented from Geom_Surface.
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Returns true if the order of derivation in the U parametric direction is N. Raised if N < 0.
Implements Geom_Surface.
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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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Returns true if this patch is closed in the given parametric direction.
Implements Geom_Surface.
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Returns true if this patch is periodic and not trimmed in the given parametric direction.
Implements Geom_Surface.
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Returns true if this patch is closed in the given parametric direction.
Implements Geom_Surface.
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Returns true if this patch is periodic and not trimmed in the given parametric direction.
Implements Geom_Surface.
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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 Standard_Real | Param1, |
const Standard_Real | Param2, | ||
const Standard_Boolean | UTrim, | ||
const Standard_Boolean | Sense = Standard_True |
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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 Standard_Real | U1, |
const Standard_Real | U2, | ||
const Standard_Real | V1, | ||
const Standard_Real | V2, | ||
const Standard_Boolean | USense = Standard_True , |
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const Standard_Boolean | VSense = Standard_True |
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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.
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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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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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computes the U isoparametric curve.
Implements Geom_Surface.
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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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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.
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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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Computes the V isoparametric curve.
Implements Geom_Surface.
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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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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.
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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.