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cadex::ModelData_SurfaceOfLinearExtrusion Class Reference

Defines a surface of linear extrusion. More...

#include <cadex/ModelData_SurfaceOfLinearExtrusion.hxx>

Inheritance diagram for cadex::ModelData_SurfaceOfLinearExtrusion:
cadex::ModelData_SweptSurface cadex::ModelData_Surface

Public Types

typedef cadex::internal::ModelData_SurfaceOfLinearExtrusionImpl ImplType
 
- Public Types inherited from cadex::ModelData_SweptSurface
typedef cadex::internal::ModelData_SweptSurfaceImpl ImplType
 

Public Member Functions

 ModelData_SurfaceOfLinearExtrusion ()
 Constructor.
 
 ModelData_SurfaceOfLinearExtrusion (const ModelData_Curve &theBasisCurve, const ModelData_Direction &theDirection)
 Constructor.
 
 ModelData_SurfaceOfLinearExtrusion (const Handle_C &)
 
- Public Member Functions inherited from cadex::ModelData_SweptSurface
 ModelData_SweptSurface ()
 Constructor.
 
ModelData_Curve BasisCurve () const
 
const ModelData_DirectionDirection () const
 
- Public Member Functions inherited from cadex::ModelData_Surface
 ModelData_Surface ()
 Constructor.
 
 ModelData_Surface (const ModelData_Surface &theOther)
 Constructor.
 
 ModelData_Surface (ModelData_Surface &&theOther)
 Constructor.
 
 ~ModelData_Surface ()
 Destructor.
 
ModelData_Surfaceoperator= (const ModelData_Surface &theOther)
 Assignment operator.
 
ModelData_Surfaceoperator= (ModelData_Surface &&theOther)
 Move assignment operator.
 
ModelData_SurfaceType Type () const
 Returns a surface type.
 
bool IsNull () const
 Returns true if the object has not been initialized yet.
 
void Nullify ()
 Resets the object.
 
 operator bool () const
 
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.
 
ModelData_Point Value (double theParameterU, double theParameterV) const
 Evaluates a point on the surface.
 
void Transform (const ModelData_Transformation &theTransformation)
 Applies transformation matrix to this object.
 
ModelData_Surface Transformed (const ModelData_Transformation &theTransformation) const
 Returns a copy this object after applying transformation.
 
ModelData_Continuity Continuity () const
 Returns a continuity type of the surface.
 
void D0 (double theParameterU, double theParameterV, ModelData_Point &theValue) const
 Returns the point theValue of parameter theU, theV on the surface.
 
void D1 (double theParameterU, double theParameterV, ModelData_Point &theValue, ModelData_Vector &theD1U, ModelData_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, ModelData_Point &theValue, ModelData_Vector &theD1U, ModelData_Vector &theD1V, ModelData_Vector &theD2U, ModelData_Vector &theD2V, ModelData_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, ModelData_Point &theValue, ModelData_Vector theD[]) const
 
void Curvature (double theParameterU, double theParameterV, ModelData_Vector &thePrincipalMaxDirection, ModelData_Vector &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, ModelData_Direction &thePrincipalMaxDirection, ModelData_Direction &thePrincipalMinDirection, double &theMaxCurvature, double &theMinCurvature) const
 Returns the max and min principal curvature directions and their values.
 
void Normal (double theParameterU, double theParameterV, ModelData_Direction &theNormal) const
 Returns the normal direction theNormal at the current point.
 
void Mirror (const ModelData_Point &thePoint)
 Mirrors the surface relative to the point.
 
void Mirror (const ModelData_Axis1Placement &theAxis)
 Mirrors the surface relative to the axis placement.
 
void Mirror (const ModelData_Axis2Placement &theAxis)
 Mirrors the surface relative to the axis placement.
 
ModelData_Surface Mirrored (const ModelData_Point &theRef) const
 Returns a copy this surface mirrored along the object.
 
ModelData_Surface Mirrored (const ModelData_Axis1Placement &theAxis) const
 Returns a copy this surface mirrored along the object.
 
ModelData_Surface Mirrored (const ModelData_Axis2Placement &theAxis) const
 Returns a copy this surface mirrored along the object.
 
void Rotate (const ModelData_Axis1Placement &theAxis, double theAngle)
 Rotates the surface around the axis.
 
ModelData_Surface Rotated (const ModelData_Axis1Placement &theAxis, double theAngle) const
 Returns a copy this surface rotated along the axis.
 
void Translate (const ModelData_Vector &theVector)
 Translates the surface along the vector.
 
ModelData_Surface Translated (const ModelData_Vector &theVector) const
 Returns a copy this surface translated along the vector.
 
void Scale (const ModelData_Point &thePoint, double theScale)
 Scales the surface with respect to the point.
 
ModelData_Surface Scaled (const ModelData_Point &thePoint, double theScale) const
 Returns a copy this surface scaled with respect to the point.
 

Public Attributes

 operator Handle_C const
 
- Public Attributes inherited from cadex::ModelData_SweptSurface
 operator Handle_C const
 

Detailed Description

Defines a surface of linear extrusion.

Surface of linear extrusion is defined by a basis curve and an extrusion direction. The following image depicts an example of a surface of linear extrusion:

Surface of linear extrusion

A surface of linear extrusion is parametrized as follows: \(\mathbf{S}(u,v) = \mathbf{B}(u) + v\mathbf{D}\), where

  • \(\mathbf{B}(u)\) is a basis curve,
  • \(\mathbf{D}\) is unit vector specifying extrusion direction,
  • \(u\) belongs to a basis curve definition domain,
  • \(v\) belongs to \((-\infty, +\infty)\).

U-parameter is a parameter along the curve \(\mathbf{B}(u)\), and V-parameter is a length along extrusion direction. Thus, U-isolines are lines crossing the curve at respective parameter, and V-isoline corresponds to a curve offset at distance V along the direction \(\mathbf{D}\). V-isoline at \(v=0\) is the basis curve itself.

The curve \(\mathbf{B}(u)\) should be planar although this is not enforced.

Surface or linear extrusion is periodic along U if the basis curve is periodic itself.

If a face lies on a full range of U its boundary wire will contain two seam-edges at parameters UMin() and UMax().

Examples
exploring/brepgeometry/Program.cs, exploring/brepgeometry/main.cxx, modeling/brep/Program.cs, and modeling/brep/main.cxx.

Constructor & Destructor Documentation

◆ ModelData_SurfaceOfLinearExtrusion() [1/2]

cadex::ModelData_SurfaceOfLinearExtrusion::ModelData_SurfaceOfLinearExtrusion ( )
inline

Constructor.

Empty constructor.

◆ ModelData_SurfaceOfLinearExtrusion() [2/2]

cadex::ModelData_SurfaceOfLinearExtrusion::ModelData_SurfaceOfLinearExtrusion ( const ModelData_Curve theBasisCurve,
const ModelData_Direction theDirection 
)

Constructor.

Creates a surface of extrusion from a basis curve and direction.