C3D Toolkit  Kernel - 110050, Vision - 2.5.0.18
MbElementarySurface Class Referenceabstract

An elementary surface. More...

#include <surf_elementary_surface.h>

+ Inheritance diagram for MbElementarySurface:
+ Collaboration diagram for MbElementarySurface:

Public Member Functions

Common functions of a geometric object
virtual MbeSpaceType IsA () const =0
 Get the type of the object.
 
virtual MbeSpaceType Type () const
 Get the group object type.
 
virtual MbSpaceItemDuplicate (MbRegDuplicate *=NULL) const =0
 Create a copy of the object. More...
 
virtual bool IsSame (const MbSpaceItem &other, double accuracy=LENGTH_EPSILON) const =0
 Determine whether an object is equal. More...
 
virtual bool SetEqual (const MbSpaceItem &)=0
 Make objects equal if they are similar. More...
 
virtual void Transform (const MbMatrix3D &matr, MbRegTransform *=NULL)
 Convert the object according to the matrix. More...
 
virtual void Move (const MbVector3D &to, MbRegTransform *=NULL)
 Move an object along a vector. More...
 
virtual void Rotate (const MbAxis3D &axis, double angle, MbRegTransform *=NULL)
 Rotate an object around an axis at a given angle. More...
 
virtual double DistanceToPoint (const MbCartPoint3D &to) const
 Determine the distance to the point. More...
 
virtual void GetProperties (MbProperties &properties)=0
 Outstanding properties of the object. More...
 
virtual void SetProperties (const MbProperties &properties)=0
 Change the properties of an object. More...
 
virtual void GetBasisItems (RPArray< MbSpaceItem > &s)
 Get the base objects.
 
virtual void GetBasisPoints (MbControlData3D &) const
 Get control points of object.
 
virtual void SetBasisPoints (const MbControlData3D &)
 Change the object by control points.
 
Functions for surface domain description
virtual double GetUMin () const =0
 Get the minimum value of u.
 
virtual double GetVMin () const =0
 Get the minimum value of v.
 
virtual double GetUMax () const =0
 Get the maximum value of u.
 
virtual double GetVMax () const =0
 Get the maximum value of v.
 
virtual bool IsUClosed () const =0
 Determine whether a surface is closed in u-parameter direction. More...
 
virtual bool IsVClosed () const =0
 Determine whether a surface is closed in v-parameter direction. More...
 
Functions for working at surface domain

Functions PointOn, Derive... of surfaces correct parameters when they are out of bounds of rectangular domain of parameters.
Except:

  1. MbPlane (plane)
    Functions PointOn, Derive... of plane don't correct parameters when they are out of bounds of rectangular domain of parameters.
  2. MbSmoothSurface and its inheritors (fillet or chamfer surfaces)
    Functions PointOn, Derive... of smooth surfaces don't correct first parameter when it is out of domain bounds
virtual void PointOn (double &u, double &v, MbCartPoint3D &) const =0
 Calculate a point on the surface. More...
 
virtual void DeriveU (double &u, double &v, MbVector3D &) const =0
 Calculate first derivative with respect to u.
 
virtual void DeriveV (double &u, double &v, MbVector3D &) const =0
 Calculate first derivative with respect to v.
 
virtual void DeriveUU (double &u, double &v, MbVector3D &) const =0
 Calculate second derivative with respect to u.
 
virtual void DeriveVV (double &u, double &v, MbVector3D &) const =0
 Calculate second derivative with respect to v.
 
virtual void DeriveUV (double &u, double &v, MbVector3D &) const =0
 Calculate second derivative.
 
virtual void DeriveUUU (double &u, double &v, MbVector3D &) const =0
 Calculate third derivative.
 
virtual void DeriveUUV (double &u, double &v, MbVector3D &) const =0
 Calculate third derivative.
 
virtual void DeriveUVV (double &u, double &v, MbVector3D &) const =0
 Calculate third derivative.
 
virtual void DeriveVVV (double &u, double &v, MbVector3D &) const =0
 Calculate third derivative.
 
Functions for get of the group of data inside and outside the surface's domain of parameters.
virtual void Explore (double &u, double &v, bool ext, MbCartPoint3D &pnt, MbVector3D &uDer, MbVector3D &vDer, MbVector3D *uuDer, MbVector3D *vvDer, MbVector3D *uvDer, MbVector3D *nor) const =0
 Calculate point and derivatives of object for given parameters. More...
 
Functions of moving along the surface
virtual double StepU (double u, double v, double sag) const =0
 Calculate parameter step. More...
 
virtual double StepV (double u, double v, double sag) const =0
 Calculate parameter step. More...
 
virtual double DeviationStepU (double u, double v, double angle) const =0
 Calculate parameter step. More...
 
virtual double DeviationStepV (double u, double v, double angle) const =0
 Calculate parameter step. More...
 
virtual double MetricStepU (double u, double v, double length) const =0
 Calculate parameter step. More...
 
virtual double MetricStepV (double u, double v, double length) const =0
 Calculate parameter step. More...
 
Common functions of surface
virtual MbeNewtonResult PointProjectionNewton (const MbCartPoint3D &p, size_t iterLimit, double &u, double &v, bool ext) const
 Finding of point projection on surface. For internal use only.
 
virtual bool NearPointProjection (const MbCartPoint3D &p, double &u, double &v, bool ext, MbRect2D *uvRange=NULL) const
 Find the projection of a point onto the surface. More...
 
virtual bool IsRectangular () const
 Determine whether derivatives with respect to u and v are orthogonal.
 
virtual void SetLimit (double u1, double v1, double u2, double v2)=0
 Set surface limits. For internal use only.
 
Functions of elementary surfaces
virtual bool GetPointProjection (const MbCartPoint3D &p, bool init, double &u, double &v, bool ext, MbRect2D *uvRange=NULL) const =0
 The nearest point projection onto the surface. More...
 
virtual void GetParamsToUnit (double u, double v, double &uParam, double &vParam) const
 Get increment of parameters, corresponding to the unit length in space.
 
void AddTesselation (double step, size_t maxCount, double w1, double w2, SArray< double > &ww) const
 Add parameters to the array with given step. More...
 
const MbPlacement3DGetPlacement () const
 A local coordinate system.
 
void InitPlacement (MbPlacement3D &p)
 Set the local coordinate system.
 
bool IsPositionNormal () const
 Whether the coordinate system is orthonormalized.
 
bool IsPositionIsotropic () const
 Whether the coordinate system is orthogonal and isotropic by the axes.
 
bool IsPositionCircular () const
 Whether the coordinate system is orthogonal with X and Y axes equal by length.
 
- Public Member Functions inherited from MbSurface
virtual ~MbSurface ()
 Destructor.
 
 VISITING_CLASS (MbSurface)
 Implementation of a function initializing a visit of an object.
 
virtual MbeSpaceType Family () const
 Get family of objects.
 
virtual void AddYourGabaritTo (MbCube &c) const
 Expand sent bounding box (a.k.a. gabarit), so that it included the object. More...
 
virtual void Refresh ()
 Translate all the time (mutable) data objects in an inconsistent (initial) state.
 
virtual void PrepareIntegralData (const bool forced) const
 Calculate temporary (mutable) data of an object. More...
 
virtual void CalculateMesh (const MbStepData &stepData, const MbFormNote &note, MbMesh &mesh) const
 Build polygonal copy mesh. More...
 
virtual MbPropertyCreateProperty (MbePrompt name) const
 Create your own property with the name.
 
size_t size () const
 Number of objects if object is interpreted as vector of objects.
 
const MbSurfaceoperator[] (size_t) const
 An access operator.
 
virtual bool IsUTouch () const
 Determine whether a surface is closed in u-parameter direction regardless of the smoothness of the closure. More...
 
virtual bool IsVTouch () const
 Determine whether a surface is closed in v-parameter direction regardless of the smoothness of the closure. More...
 
virtual bool IsUPeriodic () const
 Determine whether a surface is closed in u-parameter direction. More...
 
virtual bool IsVPeriodic () const
 Determine whether a surface is closed in v-parameter direction. More...
 
virtual double GetUPeriod () const
 Return period for smoothly closed surface or 0.
 
virtual double GetVPeriod () const
 Return period for smoothly closed surface or 0.
 
virtual double GetPeriod (ptrdiff_t i) const
 Return period. More...
 
virtual size_t Periodicity () const
 Determine periodicity. More...
 
virtual bool GetPoleUMin () const
 Whether a pole exists on parametric region boundary.
 
virtual bool GetPoleUMax () const
 Whether a pole exists on parametric region boundary.
 
virtual bool GetPoleVMin () const
 Whether a pole exists on parametric region boundary.
 
virtual bool GetPoleVMax () const
 Whether a pole exists on parametric region boundary.
 
virtual bool IsPole (double u, double v) const
 Whether the point is a pole.
 
bool IsPole (const MbCartPoint &uv) const
 Whether the point is a pole.
 
virtual void TangentU (double &u, double &v, MbVector3D &) const
 Calculate tangent vector in u.
 
virtual void TangentV (double &u, double &v, MbVector3D &) const
 Calculate tangent vector in v.
 
virtual void Normal (double &u, double &v, MbVector3D &) const
 Calculate normal.
 
virtual void NormalU (double &u, double &v, MbVector3D &) const
 Calculate derivative of normal with respect to U.
 
virtual void NormalV (double &u, double &v, MbVector3D &) const
 Calculate derivative of normal with respect to V.
 
virtual void _PointOn (double u, double v, MbCartPoint3D &p) const
 Calculate a point on the surface. More...
 
virtual void _DeriveU (double u, double v, MbVector3D &) const
 Calculate first derivative with respect to u on extended surface.
 
virtual void _DeriveV (double u, double v, MbVector3D &) const
 Calculate first derivative with respect to v on extended surface.
 
virtual void _DeriveUU (double u, double v, MbVector3D &) const
 Calculate second derivative with respect to u on extended surface.
 
virtual void _DeriveVV (double u, double v, MbVector3D &) const
 Calculate second derivative with respect to v on extended surface.
 
virtual void _DeriveUV (double u, double v, MbVector3D &) const
 Calculate second derivative on extended surface.
 
virtual void _DeriveUUU (double u, double v, MbVector3D &) const
 Calculate third derivative on extended surface.
 
virtual void _DeriveUUV (double u, double v, MbVector3D &) const
 Calculate third derivative on extended surface.
 
virtual void _DeriveUVV (double u, double v, MbVector3D &) const
 Calculate third derivative on extended surface.
 
virtual void _DeriveVVV (double u, double v, MbVector3D &) const
 Calculate third derivative on extended surface.
 
virtual void _TangentU (double u, double v, MbVector3D &) const
 Calculate tangent vector in u direction on extended surface.
 
virtual void _TangentV (double u, double v, MbVector3D &) const
 Calculate tangent vector in v direction on extended surface.
 
virtual void _Normal (double u, double v, MbVector3D &) const
 Calculate a normal on extended surface.
 
virtual void _NormalU (double u, double v, MbVector3D &) const
 Calculate derivative of normal vector on extended surface.
 
virtual void _NormalV (double u, double v, MbVector3D &) const
 Calculate derivative of normal vector on extended surface.
 
virtual void _NormalUU (double u, double v, MbVector3D &) const
 Calculate second derivative of normal vector on extended surface.
 
virtual void _NormalUV (double u, double v, MbVector3D &) const
 Calculate second derivative of normal vector on extended surface.
 
virtual void _NormalVV (double u, double v, MbVector3D &) const
 Calculate second derivative of normal vector on extended surface.
 
virtual void _NormalD (double u, double v, double du, double dv, MbVector3D &der) const
 Calculate derivative of normal vector at the point with the given parameters u and v along the line with the given direction (du,dv).
 
virtual void _PointNormal (double u, double v, MbCartPoint3D &pnt, MbVector3D &deru, MbVector3D &derv, MbVector3D &norm, MbVector3D &noru, MbVector3D &norv, MbVector3D &deruu, MbVector3D &dervv, MbVector3D &deruv) const
 Calculate all derivatives at point. More...
 
double SurfaceStep (const double &u, const double &v, bool alongU, const MbStepData &stepData) const
 Calculate parameter step. More...
 
virtual size_t GetUCount () const
 The number of splittings by u-parameter for a check of events.
 
virtual size_t GetVCount () const
 The number of splittings by v-parameter for a check of events.
 
virtual const MbSurfaceGetSurface () const
 Get itself (it is overloaded only in CurveBoundedSurface).
 
virtual const MbSurfaceGetBasisSurface () const
 Get the base surface if exists or itself.
 
virtual MbSurfaceSetSurface ()
 Get itself (it is overloaded only in CurveBoundedSurface).
 
virtual MbSurfaceSetBasisSurface ()
 Get the base surface if exists or itself.
 
virtual void GetLimitPoint (ptrdiff_t number, MbCartPoint3D &pnt) const
 Calculate the boundary point. More...
 
virtual void GetLimitPoint (ptrdiff_t number, MbCartPoint &pnt) const
 Calculate the boundary two-dimensional point. More...
 
MbCartPoint3D GetLimitPoint (ptrdiff_t number) const
 Calculate the boundary point. More...
 
virtual double CurvatureU (double u, double v) const
 Calculate line curvature along the direction of u. More...
 
virtual double CurvatureV (double u, double v) const
 Calculate line curvature along the direction of v. More...
 
double NormalCurvatureU (double u, double v) const
 Calculate a normal curvature of line along the direction of u. More...
 
double NormalCurvatureV (double u, double v) const
 Calculate a normal curvature of line along the direction of v. More...
 
double NormalCurvature (double u, double v, double du, double dv) const
 Calculate a normal curvature of surface. More...
 
bool MeanGaussCurvature (double u, double v, double &mean, double &gauss) const
 Calculate the mean and the Gaussian curvature.
More...
 
virtual bool IsSameBase (const MbSurface &) const
 Whether a base surface is a copy of the base surface of the given object.
 
virtual bool IsPlanar () const
 Whether a surface is planar.
 
virtual double GetRadius () const
 Get the physical radius of the object or null if it impossible.
More...
 
virtual double GetFilletRadius (const MbCartPoint3D &p) const
 Get fillet radius if the surface is a fillet surface.
 
virtual MbeParamDir GetFilletDirection () const
 Direction of fillet surface.
 
virtual bool GetCylinderAxis (MbAxis3D &) const
 Get rotation axis of a surface.
 
virtual bool GetCentre (MbCartPoint3D &c) const
 Give the center of sphere surface.
 
virtual bool GetCenterLines (std::vector< MbCurve3D *> &clCurves) const
 Get center lines of a surface.
 
virtual void ChangeCarrier (const MbSpaceItem &item, MbSpaceItem &init)
 Changing of carrier. More...
 
virtual bool ChangeCarrierBorne (const MbSurface &item, MbSurface &init, const MbMatrix &matr)
 Changing of carrier elements. More...
 
virtual bool IsSpinePeriodic () const
 Periodicity of the guide. More...
 
MbSplineSurfaceNurbsSurface (bool bmatch=false) const
 Construct a NURBS copy of a surface. More...
 
virtual MbSplineSurfaceNurbsSurface (double u1, double u2, double v1, double v2, bool bmatch=false) const
 Construct a NURBS copy of trimmed surface. More...
 
virtual MbSurfaceNurbsSurface (const MbNurbsParameters &uParam, const MbNurbsParameters &vParam) const
 Construct a NURBS copy of a surface. More...
 
bool NurbsParam (const MbNurbsParameters &tParam, bool uParam, double op1, double op2, bool &isClosedNurbs, double &epsilon, SArray< double > &params) const
 Prepare parameters for the transformation to NURBS surface. More...
 
void CheckApproxPointParamsOpen (bool isU, double par, size_t degree, size_t pCount, SArray< double > &tList, SArray< double > &aKnots) const
 Chose points for approximation along the parameter. More...
 
void CheckApproxPointParamsClosed (bool isU, double par, size_t degree, size_t pCount, SArray< double > &tList, SArray< double > &aKnots) const
 Chose points for approximation along the parameter. More...
 
virtual MbSurfaceOffset (double d, bool same) const
 Create an offset surface. More...
 
virtual MbCurve3DCurveU (double v, MbRect1D *pRgn, bool bApprox=true) const
 Construct spatial copy of the line v = const. More...
 
virtual MbCurve3DCurveV (double u, MbRect1D *pRgn, bool bApprox=true) const
 Construct spatial copy of the line u = const.
More...
 
virtual MbCurve3DCurveUV (const MbLineSegment &segm, bool bApprox=true) const
 Construct spatial copy of line by parametric line. More...
 
virtual MbeItemLocation PointRelative (const MbCartPoint3D &pnt, double eps=ANGLE_REGION) const
 Get point location relative to the surface. More...
 
virtual MbeItemLocation PointClassification (const MbCartPoint &pnt, bool ignoreClosed=false) const
 A point is located inside the region on a surface. More...
 
virtual double DistanceToBorder (const MbCartPoint &point, double &epsilon) const
 Calculate the parametric distance to the nearest boundary. More...
 
virtual size_t CurveClassification (const MbCurve &curve, SArray< double > &tcurv, SArray< MbVector > &dir) const
 Determine points of intersections between the curve and the surface contours. More...
 
size_t SurfaceBorderIntersection (const MbCurve &curve, SArray< double > &tcurv, SArray< MbVector > &dir) const
 Determine points of intersections between the curve and the surface contours. More...
 
virtual MbeNewtonResult DirectPointProjectionNewton (const MbCartPoint3D &p, const MbVector3D &vect, size_t iterLimit, double &u, double &v, double &w, bool ext) const
 Finding of point projections to the surface in direction of the vector. For internal use only.
 
virtual void DirectPointProjection (const MbCartPoint3D &pnt, const MbVector3D &vect, SArray< MbCartPoint > &uv, bool ext, MbRect2D *uvRange=NULL) const
 Find all a point projection onto the surface along a vector in either of two directions. More...
 
virtual bool NearDirectPointProjection (const MbCartPoint3D &pnt, const MbVector3D &vect, double &u, double &v, bool ext, MbRect2D *uvRange=NULL, bool onlyPositiveDirection=false) const
 Find the nearest point projection to the surface in the vector direction. More...
 
virtual MbeNewtonResult CurveIntersectNewton (const MbCurve3D &curv1, double funcEpsilon, size_t iterLimit, double &u0, double &v0, double &t1, bool ext0, bool ext1) const
 Solution of equation system for determination of intersections between a surface and a curve. For internal use only.
 
virtual MbeNewtonResult CurveTangentNewton (const MbCurve3D &curv1, double funcEpsilon, size_t iterLimit, double &u0, double &v0, double &t1, bool ext0, bool ext1) const
 Solution of equation system for determination of tangency between a surface and a curve. For internal use only.
 
virtual void CurveIntersection (const MbCurve3D &curv, SArray< MbCartPoint > &uv, SArray< double > &tt, bool ext0, bool ext, bool touchInclude=false) const
 Determine points of intersection between a surface and a curve. More...
 
virtual MbeNewtonResult SurfaceIntersectNewton (const MbSurface &surf1, MbeParamDir switchPar, double funcEpsilon, size_t iterLimit, double &u0, double &v0, double &u1, double &v1, bool ext0, bool ext1) const
 Solution of equation system for determination of surfaces intersections. For internal use only.
 
virtual MbeNewtonResult SurfaceTangentNewton (const MbSurface &surf1, MbeParamDir switchPar, double funcEpsilon, size_t iterLimit, double &u0, double &v0, double &u1, double &v1, bool ext0, bool ext1) const
 Solution of equation system for determination of surfaces tangency. For internal use only.
 
virtual MbeNewtonResult SilhouetteNewton (const MbVector3D &eye, bool perspective, const MbAxis3D *axis, MbeParamDir switchPar, double funcEpsilon, size_t iterLimit, double &u, double &v, bool ext) const
 Solution of equation system for determination of surface silhouette points. For internal use only.
 
virtual bool IsSimilarToSurface (const MbSurface &surf, VERSION version, double precision=METRIC_PRECISION) const
 Define whether the surfaces are similar for merge. More...
 
virtual bool IsSpecialSimilarToSurface (const MbSurface &surf, VERSION version, double precision=METRIC_PRECISION) const
 Whether the surfaces are similar to merge. Special case. For internal use only.
 
virtual bool ProjectCurveOnSimilarSurface (const MbCurve3D &spaceCurve, const MbCurve &curve, const MbSurface &surfNew, MbCurve *&curveNew) const
 Construction of projection of a surface curve on coincident surface. More...
 
bool ProjectCurveOnSimilarSurface (const MbCurve3D &spaceCurve, const MbCurve &curve, const MbSurface &surfNew, SPtr< MbCurve > &curveNew) const
 Construction of projection of a surface curve on coincident surface. More...
 
virtual bool GetMatrixToSurface (const MbSurface &surf, MbMatrix &matr, VERSION version, double precision=METRIC_PRECISION) const
 Get two-dimensional matrix of transformation from its parametric region to the parametric region of 'surf'. More...
 
virtual ThreeStates Salient () const
 Determine whether the surface is convex.
 
virtual double DistanceToCurve (const MbCurve3D &curve, double &u, double &v, double &t, bool tCalc=false) const
 Calculate the nearest distance to a curve. More...
 
virtual double DistanceToSurface (const MbSurface &surf1, double &u0, double &v0, double &u1, double &v1) const
 Calculate the nearest distance to a surface. More...
 
virtual bool CreateNormalPlacements (const MbVector3D &axisZ, double angle, SArray< MbPlacement3D > &places) const
 Construct normal placements of constructive planes.
 
virtual bool CreateTangentPlacements (const MbVector3D &axisZ, SArray< MbPlacement3D > &places) const
 Construct tangent placements of constructive planes.
 
MbeNewtonResult PlacementNewton (const MbVector3D &vec, double angle, MbeParamDir switchPar, size_t iterLimit, double &u, double &v) const
 Construct tangent placements of constructive planes. For internal use only.
 
bool CreateVconstPlacements (const MbVector3D &axisZ, double angle, bool normalPlace, SArray< MbPlacement3D > &places) const
 Construct the normal or tangent placements on v-lines.
 
bool CreateUconstPlacements (const MbVector3D &axisZ, double angle, bool normalPlace, SArray< MbPlacement3D > &places) const
 Construct the normal or tangent placements on u-lines.
 
virtual double ParamArea () const
 Calculate the area of parameters domain.
 
virtual size_t GetUPairs (double v, SArray< double > &u) const
 Calculate U-pairs by V. More...
 
virtual size_t GetVPairs (double u, SArray< double > &v) const
 Calculate V-pairs by U. More...
 
MbeNewtonResult IsoclinalNewton (const MbVector3D &dir, size_t iterLimit, double &u, double &v) const
 Determination of parameters of a surface isocline point. For internal use only.
 
virtual void GetIsoclinal (const MbVector3D &nor, SArray< MbCartPoint > &uv) const
 Find all isoclines of a surface. More...
 
virtual void CalculateGabarit (MbCube &cube) const
 Calculate bounding box of surface. It is recommended to use GetGabarit.
 
virtual void CalculateLocalGabarit (const MbMatrix3D &into, MbCube &cube) const
 Calculate bounding box in the local coordinate system.
 
const MbCubeGetGabarit () const
 Calculate bounding box of surface.
 
const MbCubeCube () const
 Return saved bounding box. It should be empty. It is recommended to use GetGabarit.
 
void SetDirtyGabarit () const
 Make the bounding box empty. For internal use only.
 
void CopyGabarit (const MbSurface &s, const MbVector3D *to=NULL)
 Copy the bounding box from the copy. More...
 
double GetGabDiagonal () const
 Calculate the diagonal of the bounding box.
 
void CalculateRect (const MbPlacement3D &place, MbRect &rect) const
 Calculate the rectangular bounding box of a surface in the given plane. More...
 
virtual MbContourMakeContour (bool sense) const
 Return the bounding two-dimensional contour. More...
 
virtual MbCurveMakeSegment (size_t i, bool sense) const
 Return a segment of the bounding two-dimensional contour. More...
 
MbCurveMakeCurve (size_t number1, size_t number2) const
 Return a segment of the bounding two-dimensional contour. More...
 
void SetLimit (const MbRect &)
 Set surface limits. For internal use only.
 
virtual void SetExtendedParamRegion (double u1, double v1, double u2, double v2)
 Set extended limits of surface. For internal use only.
 
virtual void IncludePoint (double u, double v)
 Include a point into domain. For internal use only.
 
double GetMaxParamDeltaU () const
 Get the maximum increment of U-parameter.
 
double GetMaxParamDeltaV () const
 Get the maximum increment of V-parameter.
 
virtual double GetParamDelta () const
 Get the maximum increment of parameter.
 
virtual double GetParamPrice () const
 Get the minimum distinguishable value of parameter.
 
virtual double GetUParamToUnit () const
 Get increment of u-parameter, corresponding to the unit length in space.
 
virtual double GetVParamToUnit () const
 Get increment of v-parameter, corresponding to the unit length in space.
 
virtual double GetUParamToUnit (double u, double v) const
 Get increment of u-parameter, corresponding to the unit length in space.
 
virtual double GetVParamToUnit (double u, double v) const
 Get increment of v-parameter, corresponding to the unit length in space.
 
double GetUParamToUnit (const MbCartPoint &uv) const
 Get increment of u-parameter, corresponding to the unit length in space.
 
double GetVParamToUnit (const MbCartPoint &uv) const
 Get increment of v-parameter, corresponding to the unit length in space.
 
double GetUEpsilon () const
 Get the minimum distinguishable value of u-parameter. It corresponds to the length Math::metricEpsilon in space.
 
double GetVEpsilon () const
 Get the minimum distinguishable value of v-parameter. It corresponds to the length Math::metricEpsilon in space.
 
double GetUEpsilon (double u, double v) const
 Get the minimum distinguishable value of u-parameter. It corresponds to the length Math::metricEpsilon in space.
 
double GetVEpsilon (double u, double v) const
 Get the minimum distinguishable value of v-parameter. It corresponds to the length Math::metricEpsilon in space.
 
double GetURegion () const
 Get the minimum distinguishable value of u-parameter. It corresponds to the length Math::metricRegion in space.
 
double GetVRegion () const
 Get the minimum distinguishable value of v-parameter. It corresponds to the length Math::metricRegion in space.
 
double GetURegion (double u, double v) const
 Get the minimum distinguishable value of u-parameter. It corresponds to the length Math::metricRegion in space.
 
double GetVRegion (double u, double v) const
 Get the minimum distinguishable value of v-parameter. It corresponds to the length Math::metricRegion in space.
 
virtual size_t GetUMeshCount () const
 The the number of splittings in u-direction.
 
virtual size_t GetVMeshCount () const
 The the number of splittings in v-direction.
 
void CalculatePolygon (double minPar, double maxPar, double constPar, MbeParamDir dir, const MbStepData &stepData, MbPolygon3D &polygon) const
 Calculate polygon by u or v. More...
 
virtual void CalculateSurfaceWire (const MbStepData &stepData, size_t beg, MbMesh &mesh, size_t uMeshCount=c3d::WIRE_MAX, size_t vMeshCount=c3d::WIRE_MAX) const
 Calculate mesh. More...
 
virtual void GetTesselation (const MbStepData &stepData, double u1, double u2, double v1, double v2, SArray< double > &uu, SArray< double > &vv) const
 Determine a splitting of parametric region of a surface by verticals and horizontals. More...
 
void AddTesselation (const MbStepData &stepData, MbeParamDir dir, double u1, double u2, double v1, double v2, SArray< double > &uu, SArray< double > &vv) const
 Determine splitting of the surface parametric region according to direction. More...
 
virtual void CalculateSurfaceGrid (const MbStepData &stepData, bool sense, MbGrid &grid) const
 Approximate a surface by triangular plates. More...
 
virtual bool IsLineU () const
 Check that all derivatives of surface with respect to u which have more than first order are equal to null.
 
virtual bool IsLineV () const
 Check that all derivatives of surface with respect to v which have more than first order are equal to null.
 
virtual bool IsShift (const MbSpaceItem &obj, MbVector3D &dir, bool &isSame, double accuracy=LENGTH_EPSILON) const
 Determine whether the object is a translation. More...
 
virtual void CheckSurfParams (double &u, double &v) const
 Check parameters. Analogue of the global function _CheckParams, optimized for caches usage. More...
 
bool GetPlacement (MbPlacement3D *place, bool exact=false) const
 Get a plane (or only a possibility of getting a plane)
 
bool GetPlanePlacement (MbPlacement3D &place) const
 Get a plane.
 
bool GetControlPlacement (MbPlacement3D &place, bool sameSense=true) const
 Get a placement of a surface at the middle point.
 
bool OrientPlacement (MbPlacement3D &place, bool normalSense=true) const
 Orient an axis X of a placement along the line of its intersection with surface.
 
bool IsPointOn (const MbCartPoint3D &, double eps=METRIC_PRECISION) const
 Determine whether a point is located on a surface or not.
 
void PointOn (MbCartPoint &uv, MbCartPoint3D &p) const
 Calculate the point on a surface inside the domain of surface.
 
void _PointOn (const MbCartPoint &uv, MbCartPoint3D &p) const
 Calculate a point on a surface extension.
 
void Normal (MbCartPoint &uv, MbVector3D &v) const
 Calculate the normal vector to a surface inside the domain of surface.
 
bool GetMatrix (double xMin, double xMax, double yMin, double yMax, MbMatrix &matr) const
 Find a matrix of transformation for the curves on a surface when the parameterization is changed. More...
 
double GetUMid () const
 The middle value of u.
 
double GetVMid () const
 The middle value of v.
 
double GetURange () const
 Parametric length by u.
 
double GetVRange () const
 Parametric length by v.
 
void GetRect (MbRect &r) const
 Get parametric bounding box.
 
void GetRect (MbRect2D &r) const
 Get parametric bounding box.
 
- Public Member Functions inherited from MbSpaceItem
virtual ~MbSpaceItem ()
 Destructor.
 
void PrepareWrite () const
 Register object. More...
 
virtual MbeRefType RefType () const
 Get a registration type (for copying, duplication).
 
virtual bool IsFamilyRegistrable () const
 Whether the object belongs to a registrable family.
 
virtual bool IsSimilar (const MbSpaceItem &item) const
 Determine whether an object is similar. More...
 
void CalculateWire (const MbStepData &stepData, MbMesh &mesh) const
 
void CalculateWire (double sag, MbMesh &mesh) const
 
- Public Member Functions inherited from TapeBase
 TapeBase (RegistrableRec regs=noRegistrable)
 Constructor.
 
 TapeBase (const TapeBase &)
 Copy-constructor.
 
virtual ~TapeBase ()
 Destructor.
 
RegistrableRec GetRegistrable () const
 Whether the stream class is registrable.
 
void SetRegistrable (RegistrableRec regs=registrable) const
 Set the state of registration of the stream class.
 
virtual const char * GetPureName (const VersionContainer &) const
 Get the class name.
 
- Public Member Functions inherited from MbRefItem
 MbRefItem ()
 Constructor without parameters.
 
refcount_t GetUseCount () const
 Get count of references (get count of owners of an object).
 
refcount_t AddRef () const
 Increase count of references by one.
 
refcount_t DecRef () const
 Decrease count of references by one.
 
refcount_t Release () const
 Decrease count of references by one and if count of references became zero, then remove itself.
 
- Public Member Functions inherited from MbNestSyncItem
void Lock () const
 Switch lock on (locking happens only in parallel region).
 
void Unlock () const
 Switch lock off if locking has been set.
 
CommonRecursiveMutexGetLock () const
 Get a pointer to the mutex object. Return NULL if no parallelism. For use in ScopedLock.
 

Protected Attributes

MbPlacement3D position
 Local coordinate system.
 
double umin
 Minimal value of first parameter.
 
double vmin
 Minimal value of second parameter.
 
double umax
 Maximal value of first parameter.
 
double vmax
 Maximal value of second parameter.
 
- Protected Attributes inherited from MbSurface
MbCube cube
 Bounding box of surface. More...
 

Additional Inherited Members

- Protected Member Functions inherited from MbSurface
 MbSurface ()
 Constructor.
 
 MbSurface (const MbSurface &)
 Copy-constructor.
 
void MoveGabarit (const MbVector3D &v)
 Move bounding box.
 
void NormalCalculation (const MbVector3D &uDer, const MbVector3D &vDer, double u, double v, bool ext, MbVector3D &nor) const
 Normal calculation by derivatives uDer and vDer on point with parameters u, v.
 
double StepAlong (double u, double v, double sag, bool alongU, double stepMinCoeff, const MbVector3D &der, const MbVector3D &sec) const
 Step calculation by sag.
 
double DeviationStepAlong (double u, double v, double angle, bool alongU, const MbVector3D &der, const MbVector3D &sec) const
 Step calculation by normal deviation.
 
- Protected Member Functions inherited from MbSpaceItem
 MbSpaceItem ()
 Default constructor.
 

Detailed Description

An elementary surface.

Parent class for surfaces: MbConeSurface, MbCylinderSurface, MbPlane, MbSphereSurface, MbTorusSurface. Elementary surface is described by analytical expression in local coordinate system. Analytical expression of radius-vector of surface has canonical form in local coordinate system.
Local coordinate system 'position' can be both right and left.

Member Function Documentation

◆ Duplicate()

virtual MbSpaceItem& MbElementarySurface::Duplicate ( MbRegDuplicate iReg = NULL) const
pure virtual

Create a copy of the object.

Create a copy of an object using the registrator. Registrator is used to prevent multiple copy of the object. If the object contains references to the other objects, then nested objects are copied as well. It is allowed not to pass registrator into the function. Then new copy of object will be created. While copying of single object or set of not connected objects, it is allowed not to use registrator. Registrator should be used if it is required to copy several connected objects. It is possible, that objects connection is based on the references to common objects. Then, while copying without using of registrator, it is possible to obtain set of copies, that contain references to the different copies of the same nested object, that leads to loss of connection between copies.

Parameters
[in]iReg- Registrator.
Returns
A copy of the object.

Implements MbSurface.

Implemented in MbPlane, MbConeSurface, MbCylinderSurface, MbTorusSurface, and MbSphereSurface.

◆ IsSame()

virtual bool MbElementarySurface::IsSame ( const MbSpaceItem other,
double  accuracy = LENGTH_EPSILON 
) const
pure virtual

Determine whether an object is equal.

Still considered objects of the same type, all data is the same (equal).

Parameters
[in]item- The object to compare.
[in]accuracy- The accuracy to compare.
Returns
Whether the objects are equal.

Implements MbSurface.

Implemented in MbPlane, MbConeSurface, MbCylinderSurface, MbTorusSurface, and MbSphereSurface.

◆ SetEqual()

virtual bool MbElementarySurface::SetEqual ( const MbSpaceItem item)
pure virtual

Make objects equal if they are similar.

You can still make only a similar objects.

Parameters
[in]item- The object to initialize.
Returns
Object is changed.

Implements MbSurface.

Implemented in MbPlane, MbConeSurface, MbCylinderSurface, MbTorusSurface, and MbSphereSurface.

◆ Transform()

virtual void MbElementarySurface::Transform ( const MbMatrix3D matr,
MbRegTransform iReg = NULL 
)
virtual

Convert the object according to the matrix.

Convert the original object according to the matrix using the registrator. If object contains references to the other geometric objects, then nested objects are transformed according to the matrix. Registrator is needed to prevent multiple object copying. It is allowed to use function without registrator, if it is needed to transform single object. If it is needed to transform a set of connected objects, then one should use registrator to prevent repeating transformation of nested objects, because of the possible situation when several objects contain references to the same common objects, that require to be transformed.

Parameters
[in]matr- Transformation matrix.
[in]iReg- Registrator.

Implements MbSurface.

Reimplemented in MbPlane, MbConeSurface, MbCylinderSurface, MbTorusSurface, and MbSphereSurface.

◆ Move()

virtual void MbElementarySurface::Move ( const MbVector3D to,
MbRegTransform iReg = NULL 
)
virtual

Move an object along a vector.

Move an object along a geometric vector using the registrator. If object contains references to the other geometric objects then the move operation is applied to the nested objects. Registrator is needed to prevent multiple copying of the object. It is allowed to use function without registrator, if it is needed to transform a single object. If it is needed to transform a set of connected objects, then one should use registrator to prevent repeating transformation of nested objects, because of the possible situation when several objects contain references to the same common objects, that require to be moved.

Parameters
[in]to- Shift vector.
[in]iReg- Registrator.

Implements MbSurface.

◆ Rotate()

virtual void MbElementarySurface::Rotate ( const MbAxis3D axis,
double  angle,
MbRegTransform iReg = NULL 
)
virtual

Rotate an object around an axis at a given angle.

Rotate an object around an axis at a given angle with the registrator. If object contains references to the other geometric objects then the rotation operation is applied to the nested objects. Registrator is needed to prevent multiple copying of the object. It is allowed to use function without registrator, if it is needed to transform a single object. If it is needed to transform a set of connected objects, then one should use registrator to prevent repeating transformation of nested objects, because of the possible situation when several objects contain references to the same common objects, that require to be rotated.

Parameters
[in]axis- The axis of rotation.
[in]angle- Rotation.
[in]iReg- Registrator.

Implements MbSurface.

◆ DistanceToPoint()

virtual double MbElementarySurface::DistanceToPoint ( const MbCartPoint3D point) const
virtual

Determine the distance to the point.

Determine the distance to the point.

Parameters
[in]point- Point.
Returns
Distance to point

Reimplemented from MbSurface.

Reimplemented in MbPlane.

◆ GetProperties()

virtual void MbElementarySurface::GetProperties ( MbProperties properties)
pure virtual

Outstanding properties of the object.

Issue internal data (properties) of the object for viewing and modification.

Parameters
[in]properties- Container for the internal data of the object.

Implements MbSurface.

Implemented in MbPlane, MbConeSurface, MbCylinderSurface, MbTorusSurface, and MbSphereSurface.

◆ SetProperties()

virtual void MbElementarySurface::SetProperties ( const MbProperties properties)
pure virtual

Change the properties of an object.

Changing the internal data (properties) of the object you are copying the corresponding values from the sent object.

Parameters
[in]properties- Container for the internal data of the object.

Implements MbSurface.

Implemented in MbPlane, MbConeSurface, MbCylinderSurface, MbTorusSurface, and MbSphereSurface.

◆ IsUClosed()

virtual bool MbElementarySurface::IsUClosed ( ) const
pure virtual

Determine whether a surface is closed in u-parameter direction.

Determine whether a surface is closed smoothly in u-parameter direction without regard to the boundary contour. It is always false for MbCurveBoundSurface. It is recommended to use IsUPeriodic.

Implements MbSurface.

Implemented in MbPlane, MbConeSurface, MbCylinderSurface, MbTorusSurface, and MbSphereSurface.

◆ IsVClosed()

virtual bool MbElementarySurface::IsVClosed ( ) const
pure virtual

Determine whether a surface is closed in v-parameter direction.

Determine whether a surface is closed smoothly in v-parameter direction without regard to the boundary contour. It is always false for MbCurveBoundSurface. It is recommended to use IsVPeriodic.

Implements MbSurface.

Implemented in MbPlane, MbConeSurface, MbCylinderSurface, MbTorusSurface, and MbSphereSurface.

◆ PointOn()

virtual void MbElementarySurface::PointOn ( double &  u,
double &  v,
MbCartPoint3D p 
) const
pure virtual

Calculate a point on the surface.

Correct parameters when getting out of rectangular domain bounds and Calculate a point on the surface.

Parameters
[in]u- First surface parameter.
[in]v- Second surface parameter.
[out]p- A point on the surface.

Implements MbSurface.

Implemented in MbPlane, MbConeSurface, MbCylinderSurface, MbTorusSurface, and MbSphereSurface.

◆ Explore()

virtual void MbElementarySurface::Explore ( double &  u,
double &  v,
bool  ext,
MbCartPoint3D pnt,
MbVector3D uDer,
MbVector3D vDer,
MbVector3D uuDer,
MbVector3D vvDer,
MbVector3D uvDer,
MbVector3D nor 
) const
pure virtual

Calculate point and derivatives of object for given parameters.

Values of point and derivatives are calculated on parameters area and on extended surface.

Parameters
[in]u- Parameter.
[in]v- Parameter.
[in]ext- On parameters area (false), on extended surface (true).
[out]pnt- Point.
[out]uDer- Derivative with respect to u.
[out]vDer- Derivative with respect to v.
[out]uuDer- Second derivative with respect to u, if not NULL.
[out]vvDer- Second derivative with respect to v, if not NULL.
[out]uvDer- Second derivative with respect to u and v, if not NULL.

Reimplemented from MbSurface.

Implemented in MbPlane, MbConeSurface, MbCylinderSurface, MbTorusSurface, and MbSphereSurface.

◆ StepU()

virtual double MbElementarySurface::StepU ( double  u,
double  v,
double  sag 
) const
pure virtual

Calculate parameter step.

Calculate parameter step for the surface approximation by its sag value along a line with a constant value of v. Calculation of the step is performed with consideration of curvature radius. A step of surface approximation along a curve is chosen in such way, that the deviation from its polygon does not exceed the given value of sag.

Parameters
[in]u- A parameter defining a point on the surface.
[in]v- A parameter defining a point on the surface.
[in]sag- Maximum feasible sag value.
Returns
A sag value by parameter at given point.

Reimplemented from MbSurface.

Implemented in MbPlane, MbConeSurface, MbCylinderSurface, MbTorusSurface, and MbSphereSurface.

◆ StepV()

virtual double MbElementarySurface::StepV ( double  u,
double  v,
double  sag 
) const
pure virtual

Calculate parameter step.

Calculate parameter step for the surface approximation by its sag value along a line with a constant value of u. Calculation of the step is performed with consideration of curvature radius. A step of surface approximation along a curve is chosen in such way, that the deviation from its polygon does not exceed the given value of sag.

Parameters
[in]u- A parameter defining a point on the surface.
[in]v- A parameter defining a point on the surface.
[in]sag- Maximum feasible sag value.
Returns
A sag value by parameter at given point.

Reimplemented from MbSurface.

Implemented in MbPlane, MbConeSurface, MbCylinderSurface, MbTorusSurface, and MbSphereSurface.

◆ DeviationStepU()

virtual double MbElementarySurface::DeviationStepU ( double  u,
double  v,
double  angle 
) const
pure virtual

Calculate parameter step.

Calculate parameter step for the surface approximation by the deviation angle of the tangent vector along a line with a constant value of u. A step of surface approximation along a curve is chosen in such way, that angular deviation of the tangent to the curve at the next point does not exceed the given value ang.

Parameters
[in]u- A parameter defining a point on the surface.
[in]v- A parameter defining a point on the surface.
[in]ang- The maximum feasible deviation angle of tangent.
Returns
A sag value by parameter at given point.

Reimplemented from MbSurface.

Implemented in MbPlane, MbConeSurface, MbCylinderSurface, MbTorusSurface, and MbSphereSurface.

◆ DeviationStepV()

virtual double MbElementarySurface::DeviationStepV ( double  u,
double  v,
double  angle 
) const
pure virtual

Calculate parameter step.

Calculate parameter step for the surface approximation by the deviation angle of the tangent vector along a line with a constant value of v. A step of surface approximation along a curve is chosen in such way, that angular deviation of the tangent to the curve at the next point does not exceed the given value ang.

Parameters
[in]u- A parameter defining a point on the surface.
[in]v- A parameter defining a point on the surface.
[in]ang- The maximum feasible deviation angle of tangent.
Returns
A sag value by parameter at given point.

Reimplemented from MbSurface.

Implemented in MbPlane, MbConeSurface, MbCylinderSurface, MbTorusSurface, and MbSphereSurface.

◆ MetricStepU()

virtual double MbElementarySurface::MetricStepU ( double  u,
double  v,
double  length 
) const
pure virtual

Calculate parameter step.

Calculate the parameter step for approximation of a surface by the given metric length of a step along a line with a constant value of u.

Parameters
[in]u- A parameter defining a point on the surface.
[in]v- A parameter defining a point on the surface.
[in]len- The given metric length.
Returns
A sag value by parameter at given point.

Reimplemented from MbSurface.

Implemented in MbPlane, MbConeSurface, MbCylinderSurface, MbTorusSurface, and MbSphereSurface.

◆ MetricStepV()

virtual double MbElementarySurface::MetricStepV ( double  u,
double  v,
double  length 
) const
pure virtual

Calculate parameter step.

Calculate the parameter step for approximation of a surface by the given metric length of a step along a line with a constant value of v.

Parameters
[in]u- A parameter defining a point on the surface.
[in]v- A parameter defining a point on the surface.
[in]len- The given metric length.
Returns
A sag value by parameter at given point.

Reimplemented from MbSurface.

Implemented in MbPlane, MbConeSurface, MbCylinderSurface, MbTorusSurface, and MbSphereSurface.

◆ NearPointProjection()

virtual bool MbElementarySurface::NearPointProjection ( const MbCartPoint3D pnt,
double &  u,
double &  v,
bool  ext,
MbRect2D uvRange = NULL 
) const
virtual

Find the projection of a point onto the surface.

Find the nearest point projection to the surface or its extension by the given initial approximation. If the range of parameters changing 'uvRange' is set, then it is required to find a projection in the given range. A range of parameters may not belong to the domain of a surface. The Newton method is used.

Parameters
[in]pnt- A given point.
[in,out]u- Input - initial approximation, output - parameter of a surface, corresponding to the nearest projection.
[in,out]v- Input - initial approximation, output - parameter of a surface, corresponding to the nearest projection.
[in]ext- A flag defining whether to seek projection on the extension of the surface.
[in]uvRange- A range of parameters changing in which the solution should be found.
Returns
True - if there is found a projection which satisfies to all input conditions.

Reimplemented from MbSurface.

◆ GetPointProjection()

virtual bool MbElementarySurface::GetPointProjection ( const MbCartPoint3D p,
bool  init,
double &  u,
double &  v,
bool  ext,
MbRect2D uvRange = NULL 
) const
pure virtual

The nearest point projection onto the surface.

The nearest point projection onto the surface.

Parameters
[in]p- Projecting point
[in]init- If true, then input parameters u and v are considered to be initial approximations
[in,out]u- Parameter of projection onto the surface
[in,out]v- Parameter of projection onto the surface
[in]ext- Attribute of search at the extension of a surface
[in]uvRange- Region of search the projection
Returns
True if the operation succeeded

Implemented in MbPlane, MbConeSurface, MbCylinderSurface, MbTorusSurface, and MbSphereSurface.

◆ AddTesselation()

void MbElementarySurface::AddTesselation ( double  step,
size_t  maxCount,
double  w1,
double  w2,
SArray< double > &  ww 
) const

Add parameters to the array with given step.

Add parameters from w1 to w2 to the array with given step.

Parameters
[in]step- Step
[in]maxCount- Maximum count of cell.
[out]ww- Container with parameters

The documentation for this class was generated from the following file: