Manufacturing Toolkit
Defines an offset surface. More...
#include <cadex/Geom/OffsetSurface.hxx>
Public Member Functions | |
| OffsetSurface () | |
| Constructor. | |
| OffsetSurface (const Surface &theBasisSurface, double theOffset) | |
| Constructor. | |
| Surface | BasisSurface () const |
| Returns basis surface. | |
| double | Offset () const |
| Returns offset value. | |
 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) |
Additional Inherited Members | |
| Public Types inherited from cadex::BaseObject | |
| typedef std::shared_ptr< internal::BaseObjectImpl > | ImplType |
| 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) | |
Defines an offset surface.
An offset surface is defined by a basis surface and an offset value.
The following image depicts an example of an offset surface:
A basis surface must be at least G1-continous, otherwise behavior is undefined (most likely an exception will be thrown).
An offset surface is parametrized as follows: \(\mathbf{S}(u,v) = \mathbf{B}(u,v) + \mathrm{offset} \cdot \mathbf{N}(u,v)\), where
| cadex::Geom::OffsetSurface::OffsetSurface | ( | const Surface & | theBasisSurface, |
| double | theOffset ) |
Constructor.
If theBasisSurface is an offset surface then its basis surface will be used as a basis surface and offset will be a sum of theOffset and the offset value of the theBasisSurface.
theBasisSurface must be at least G1-continuous, otherwise behavior is undefined.
| double cadex::Geom::OffsetSurface::Offset | ( | ) | const |
Returns offset value.
Returns the value specified in constructor.