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Base class for elementary surfaces. More...

#include <cadex/Geom/ElementarySurface.hxx>

Inheritance diagram for cadex::Geom::ElementarySurface:
cadex::Geom::Surface cadex::Geom::Geometry cadex::BaseObject cadex::Geom::ConicalSurface cadex::Geom::CylindricalSurface cadex::Geom::Plane cadex::Geom::SphericalSurface cadex::Geom::ToroidalSurface

Public Member Functions

 ElementarySurface ()
 Constructor.
 
Geom::Axis3d Position () const
 Returns a surface axis.
 
Geom::Point Location () const
 Returns origin point.
 
Geom::Direction Direction () const
 Returns Z direction of the axis placement.
 
Geom::Point2d Parameter (const Geom::Point &thePoint) const
 Returns UV-point in surface parametric space for a 3D point.
 
- Public Member Functions inherited from cadex::Geom::Surface
 Surface ()
 Constructor.
 
SurfaceType Type () const
 Returns a surface type.
 
Geom::Continuity Continuity () const
 Returns a continuity type of the surface.
 
Point Value (double theParameterU, double theParameterV) const
 Evaluates a point on the surface.
 
Direction Normal (double theParameterU, double theParameterV) const
 Returns the normal direction theNormal at the current point.
 
bool IsUPeriodic () const
 Returns true if the surface is periodic in U direction.
 
bool IsVPeriodic () const
 Returns true if the surface is periodic in V direction.
 
double UMin () const
 Returns a minimum parameter of a definition domain in U direction.
 
double UMax () const
 Returns a maximum parameter of a definition domain in U direction.
 
double VMin () const
 Returns a minimum parameter of a definition domain in V direction.
 
double VMax () const
 Returns a maximum parameter of a definition domain in V direction.
 
void Domain (double &theUMin, double &theUMax, double &theVMin, double &theVMax) const
 Returns a definition domain.
 
bool IsTrimmed () const
 Returns whether surface is trimmed or not.
 
void SetTrim (double theUFirst, double theULast, double theVFirst, double theVLast)
 Trims surface with [theUFirst, theULast] x [theVFirst, theVLast] section.
 
void Transform (const Transformation &theTransformation)
 Applies transformation matrix to this object.
 
Surface Transformed (const Transformation &theTransformation) const
 Returns a copy this object after applying transformation.
 
void D0 (double theParameterU, double theParameterV, Point &theValue) const
 Returns the point theValue of parameter theU, theV on the surface.
 
void D1 (double theParameterU, double theParameterV, Point &theValue, Vector &theD1U, Vector &theD1V) const
 Returns the point theValue and the first derivatives in the directions U theD1U and V theD1V at this point.
 
void D2 (double theParameterU, double theParameterV, Point &theValue, Vector &theD1U, Vector &theD1V, Vector &theD2U, Vector &theD2V, Vector &theD2UV) const
 Returns the point theValue, the first and the second derivatives in the directions U and V at this point.
 
bool DN (double theParameterU, double theParameterV, size_t theDerivativeOrder, Geom::Point &theValue, std::vector< Geom::Vector > &theD) const
 
void Curvature (double theParameterU, double theParameterV, Direction &thePrincipalMaxDirection, Direction &thePrincipalMinDirection) const
 Returns the max and min principal curvature directions multiplied by max and min value of curvature respectively.
 
void Curvature (double theParameterU, double theParameterV, Direction &thePrincipalMaxDirection, Direction &thePrincipalMinDirection, double &theMaxCurvature, double &theMinCurvature) const
 Returns the max and min principal curvature directions and their values.
 
void Mirror (const Point &thePoint)
 
void Mirror (const Axis1d &theAxis)
 
void Mirror (const Axis3d &theAxis)
 
Surface Mirrored (const Point &theRef) const
 
Surface Mirrored (const Axis1d &theAxis) const
 
Surface Mirrored (const Axis3d &theAxis) const
 
void Rotate (const Axis1d &theAxis, double theAngle)
 
Surface Rotated (const Axis1d &theAxis, double theAngle) const
 
void Translate (const Vector &theVector)
 
Surface Translated (const Vector &theVector) const
 
void Scale (const Point &thePoint, double theScale)
 
Surface Scaled (const Point &thePoint, double theScale) const
 
- Public Member Functions inherited from cadex::BaseObject
size_t Id () const
 Return unique identifier of public object.
 
internal::BaseObjectImpl * Impl () const
 
bool IsNull () const
 
 operator bool () const
 
template<typename T >
bool IsOfType () const
 
template<typename T >
T * Impl () const
 Reserved for internal use.
 

Static Public Member Functions

static bool CompareType (const BaseObject &theObject)
 
- Static Public Member Functions inherited from cadex::Geom::Surface
static bool CompareType (const BaseObject &theObject)
 
- Static Public Member Functions inherited from cadex::Geom::Geometry
static bool CompareType (const BaseObject &theObject)
 

Protected Member Functions

 ElementarySurface (const ImplType &theImpl)
 
- Protected Member Functions inherited from cadex::Geom::Surface
 Surface (const ImplType &theImpl)
 
- Protected Member Functions inherited from cadex::Geom::Geometry
 Geometry (const ImplType &theImpl)
 
- Protected Member Functions inherited from cadex::BaseObject
 BaseObject (const ImplType &theImpl)
 

Additional Inherited Members

- Public Types inherited from cadex::BaseObject
typedef std::shared_ptr< internal::BaseObjectImpl > ImplType
 

Detailed Description

Base class for elementary surfaces.

Elementary surface has an axis returned by Position().

Parameter() can return a UV point for a given 3D point.

Member Function Documentation

◆ Direction()

Geom::Direction cadex::Geom::ElementarySurface::Direction ( ) const

Returns Z direction of the axis placement.

See also
Position(), ElementarySurface::Direction().

◆ Location()

Geom::Point cadex::Geom::ElementarySurface::Location ( ) const

Returns origin point.

See also
Position(), Location().

◆ Parameter()

Geom::Point2d cadex::Geom::ElementarySurface::Parameter ( const Geom::Point & thePoint) const

Returns UV-point in surface parametric space for a 3D point.

If the 3D point lies exactly on a seam (e.g. for cylindrical or conical surface) then returned U parameter is 0. Likewise for the toroidal surface, V parameter is 0 if the point lies on a V=0 or V=2 * PI seam.

◆ Position()

Geom::Axis3d cadex::Geom::ElementarySurface::Position ( ) const

Returns a surface axis.

See also
Location(), ElementarySurface::Direction().