How to use Geometrical Classes

Table of Contents

• Dtk_Point
• Dtk_Curve
  • Curve types
• Dtk_Surface
  • Surface types

---

---

Dtk_Point

Dtk_Point is a Geometrical 3D point.
Possible constructors :

Dtk_PointPtr Create(const Dtk_pnt& inToCopy);
Dtk_PointPtr Create(const Dtk_Double64 & inX, const Dtk_Double64 & inY, const Dtk_Double64 & inZ);

---

Dtk_Curve

Dtk_Curve is a geometrical entity representing a curve. It is an abstract class that cannot be instantiated.

It has several utility methods:

• GetDomain allows you to get the whole definition domain for the curve.

  Dtk_ErrorStatus GetDomain(Dtk_Double64& outUmin,Dtk_Double64& outUmax) const;

• SetTrimmingParameters, GetTrimUMin, GetTrimUMax allow you to specify or get the used domain for the curve.

  Dtk_ErrorStatus SetTrimmingParameters(const Dtk_Double64& inUmin,const Dtk_Double64& inUmax);
  Dtk_Double64 GetTrimUMin() const;
  Dtk_Double64 GetTrimUMax() const;

• ToNurbs converts the curve into a nurbs curve.
• ToPolyline converts the curve into a polyline.
  

Curve types

• Dtk_Polyline is used to represent a polyline.
  Possible constructors :

  Dtk_PolylinePtr Create(const Dtk_tab<Dtk_pnt> &inPoints);
  Dtk_PolylinePtr Create(const Dtk_pnt &inPnt1, const Dtk_pnt &inPnt2);

  
  
• Dtk_Line is used to represent an infinite line. 0 parameter is given by inPnt1 or inOrigin
  Possible constructors :

  Dtk_LinePtr Create(const Dtk_pnt &inPnt1, const Dtk_pnt &inPnt2);
  Dtk_LinePtr Create(const Dtk_pnt &inOrigin, const Dtk_dir &inDirection);

  
  
• Dtk_NurbsCurve is used to represent a bspline curve (rational or not).
  Possible constructors :

  Dtk_NurbsCurvePtr Create(const Dtk_UInt32& inDegree,const Dtk_tab<Dtk_Double64> &inKnots,const Dtk_tab<Dtk_pnt> &inControlPoints,const Dtk_tab<Dtk_Double64> &inWeights=Dtk_tab<Dtk_Double64>());
  Dtk_NurbsCurvePtr Create(const Dtk_UInt32& inDegree,const Dtk_tab<Dtk_Double64> &inKnotsValues,const Dtk_tab<Dtk_UChar8> &inKnotsMultiplicities,const Dtk_tab<Dtk_pnt> &inControlPoints,const Dtk_tab<Dtk_Double64> &inWeights=Dtk_tab<Dtk_Double64>());

  
  
• Dtk_Conic is an abstract class. Dtk_Conic can be :
  • Dtk_Ellipse inherits from Dtk_Conic and is used to represent an ellipse or a circle.
    inXref gives the parameter 0 for circle and major radius position.
    Possible constructors :

    Dtk_EllipsePtr Create(const Dtk_pnt& inCenter,const Dtk_dir& inNormal,const Dtk_dir& inXref,const Dtk_Double64& inMajorRadius,const Dtk_Double64& inMinorRadius);
    Dtk_EllipsePtr Create(const Dtk_pnt& inCenter,const Dtk_dir& inNormal,const Dtk_dir& inXref,const Dtk_Double64& inRadius);

    
    
    
  • Dtk_Parabola
    Possible constructors :

    Dtk_ParabolaPtr Dtk_Parabola::Create(const Dtk_pnt& inCenter,const Dtk_dir& inNormal,const Dtk_dir& inXref,const Dtk_Double64& inFocal);

  • Dtk_Hyperbola
    Possible constructors :

    Dtk_HyperbolaPtr Dtk_Hyperbola::Create(const Dtk_pnt& inCenter,const Dtk_dir& inNormal,const Dtk_dir& inXref,const Dtk_Double64& inSemiAxis,const Dtk_Double64& inSemiImageAxis);

---

Dtk_Surface

Dtk_Surface is a geometrical entity representing a surface. It is an abstract class that cannot be instantiated.

It has several utility methods:

• GetDomain allows you to get the whole definition domain for the surface.
• SetTrimDomain/GetTrimDomain allow you to specify/get the used domain for the surface.
• ToNurbs converts the surface into nurbs surface.

Surface types

• Dtk_PlaneSurface is used to represent an infinite plane.
  Possible constructors :

  Dtk_PlaneSurfacePtr Create(const Dtk_pnt& inOrigin,const Dtk_dir& inNormal,const Dtk_dir& inUDirection,const Dtk_dir& inVDirection);

  
  
  
• Dtk_StandardRevolutionSurface is used to represent a surface of revolution. U-Domain is the one of revolved curve and V-Domain is [0-2PI].
  Possible constructors :

  Dtk_StandardRevolutionSurface Create(const Dtk_CurvePtr& inRevolvedCurve,const Dtk_pnt& inAxisposition,const Dtk_dir& inRevolutionAxis,const Dtk_dir& inVDirection);

  
  
  
• Possible constructors for Dtk_CylindricalSurface:

  Dtk_CylindricalSurfacePtr Create(const Dtk_pnt& inOrigin,const Dtk_dir& inNormal, const Dtk_dir& inUDirection,const Dtk_Double64& inRadius);

  
  
  Possible constructors for Dtk_ConicalSurface:

  Dtk_ConicalSurfacePtr Create(const Dtk_pnt& inOrigin,const Dtk_dir& inNormal, const Dtk_dir& inUDirection,const Dtk_Double64& inFirstRadius,const Dtk_Double64& inAngle);

  
  
  Possible constructors for Dtk_ToroidalSurface:

  Dtk_ToroidalSurfacePtr Create(const Dtk_pnt& inOrigin,const Dtk_dir& inNormal, const Dtk_dir& inUDirection,const Dtk_Double64& inMajorRadius,const Dtk_Double64& inMinorRadius);

  
  
  Possible constructors for Dtk_SphericalSurface:

  Dtk_SphericalSurfacePtr Create(const Dtk_pnt& inOrigin,const Dtk_dir& inNormal, const Dtk_dir& inUDirection,const Dtk_Double64& inRadius);

  
  
  
• Dtk_NurbsSurface is used to represent a bspline surface (rationnal or not).
  Possible constructors :

  Dtk_NurbsSurfacePtr Create(const Dtk_UInt32& inUDegree,const Dtk_UInt32& inVDegree,const Dtk_tab<Dtk_Double64> &inUKnots,const Dtk_tab<Dtk_Double64> &inVKnots,const Dtk_tab<Dtk_pnt> &inControlPoints,const Dtk_tab<Dtk_Double64> &inWeights=Dtk_tab<Dtk_Double64>(),type_detk inSurfaceType = DTK_TYPE_NURBS_SURFACE);
  Dtk_NurbsSurfacePtr Create(const Dtk_UInt32& inUDegree,const Dtk_UInt32& inVDegree,const Dtk_tab<Dtk_Double64> &inUKnotsValues,const Dtk_tab<Dtk_Double64> &inVKnotsValues,const Dtk_tab<Dtk_UChar8> &inUKnotsMultiplicities,const Dtk_tab<Dtk_UChar8> &inVKnotsMultiplicities,const Dtk_tab<Dtk_tab<Dtk_pnt> > &inControlPoints,const Dtk_tab<Dtk_tab<Dtk_Double64> > &inWeights=Dtk_tab<Dtk_tab<Dtk_Double64> >(),type_detk inSurfaceType = DTK_TYPE_NURBS_SURFACE);

  
  
• Dtk_LinearExtrusionSurface is used to represent a extrusion surface following a line
  Possible constructors :

  Dtk_LinearExtrusionSurfacePtr Create(const Dtk_CurvePtr& inExtrudedCurve,const Dtk_dir& inExtrusionAxis, const Dtk_Double64 inLength);

  
  
  
• Dtk_RuledSurface
  Possible constructors :

  Dtk_RuledSurfacePtr Create(const Dtk_CurvePtr& inFirstCurve,const Dtk_CurvePtr& inSecondCurve);

  
  
• Dtk_FilletSurface
  Possible constructors :

  Dtk_FilletSurfacePtr Create(const Dtk_CurvePtr &inSpine, const Dtk_Double64& inRadius1, const Dtk_Double64& inRadius2,Dtk_tab<Dtk_CurvePtr> inAdjacentCurve,Dtk_tab<Dtk_SurfacePtr> inAdjacentSurface);

  
  
  
• Dtk_OffsetSurface Possible constructors :

  Dtk_OffsetSurfacePtr Create(const Dtk_SurfacePtr &inSurf, const Dtk_Double64& inOffset);