C3D Toolkit  Kernel - 110464, Vision - 2.5.0.35

Surface in three-dimensional space. More...

#include <surface.h>

+ Inheritance diagram for MbSurface:
+ Collaboration diagram for MbSurface:

Public Member Functions

virtual ~MbSurface ()
 Destructor.
 
 VISITING_CLASS (MbSurface)
 Implementation of a function initializing a visit of an object.
 
virtual MbeSpaceType IsA () const =0
 Get the type of the object.
 
virtual MbeSpaceType Type () const
 Get the group object type.
 
virtual MbeSpaceType Family () const
 Get family of objects.
 
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 &, MbRegTransform *=NULL)=0
 Convert the object according to the matrix. More...
 
virtual void Move (const MbVector3D &, MbRegTransform *=NULL)=0
 Move an object along a vector. More...
 
virtual void Rotate (const MbAxis3D &, double angle, MbRegTransform *=NULL)=0
 Rotate an object around an axis at a given angle. More...
 
virtual double DistanceToPoint (const MbCartPoint3D &) const
 Determine the distance to the point. More...
 
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.
 
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 GetBasisPoints (MbControlData3D &) const
 Get control points of object.
 
virtual void SetBasisPoints (const MbControlData3D &)
 Change the object by control points.
 
size_t size () const
 Number of objects if object is interpreted as vector of objects.
 
const MbSurfaceoperator[] (size_t) const
 An access operator.
 
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...
 
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.
 
Functions for working at surface domain

Functions PointOn, Derive... correct parameters when getting out of rectangular domain bounds.
Exceptions:

  1. MbPlane (plane)
    Functions PointOn, Derive... of plane don't correct parameters when getting out of rectangular domain bounds.
  2. MbSmoothSurface and its inheritors (fillet of chamfer surfaces)
    Functions PointOn and Derive... of smooth surfaces don't correct the first parameter when getting out of domain bounds.
virtual void PointOn (double &u, double &v, MbCartPoint3D &p) 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.
 
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 Explore (double &u, double &v, MbCartPoint3D &pnt, MbVector3D &uDer, MbVector3D &vDer) const
 Calculate point and first derivatives with respect to u and with respect to v. More...
 
Functions for working inside and outside the surface domain.

functions _PointOn, _Derive... of surfaces don't correct parameters when getting out of rectangular domain bounds.

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 Explore (double &u, double &v, bool ext, MbCartPoint3D &pnt, MbVector3D &uDer, MbVector3D &vDer, MbVector3D *uuDer, MbVector3D *vvDer, MbVector3D *uvDer, MbVector3D *nor) const
 Calculate point and derivatives of object for given parameters. More...
 
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...
 
Functions of moving on surface
virtual double StepU (double u, double v, double sag) const
 Calculate parameter step. More...
 
virtual double StepV (double u, double v, double sag) const
 Calculate parameter step. More...
 
virtual double DeviationStepU (double u, double v, double angle) const
 Calculate parameter step. More...
 
virtual double DeviationStepV (double u, double v, double angle) const
 Calculate parameter step. More...
 
virtual double MetricStepU (double u, double v, double length) const
 Calculate parameter step. More...
 
virtual double MetricStepV (double u, double v, double length) const
 Calculate parameter step. 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.
 
Common functions of surface.
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 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 &pnt, double &u, double &v, bool ext, MbRect2D *uvRange=NULL) const
 Find the projection of a point onto the surface. 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...
 
virtual void SetLimit (double u1, double v1, double u2, double v2)
 Set surface limits. For internal use only.
 
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.
 
virtual void GetParamsToUnit (double u, double v, double &uParam, double &vParam) const
 Get increment of parameters, 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 IsRectangular () const
 Determine whether derivatives with respect to u and v are orthogonal.
 
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
 
virtual void GetBasisItems (RPArray< MbSpaceItem > &)
 Outstanding reference objects in a container sent.
 
- 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 Member Functions

 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.
 

Protected Attributes

MbCube cube
 Bounding box of surface. More...
 

Detailed Description

Surface in three-dimensional space.

The parent class for all surfaces in three-dimensional space. A surface is a vector function of two scalar parameters, taking values on the two-dimensional connected region. Surface represents a continuous mapping of two-dimensional connected region to three-dimensional space.
For all surfaces, except MbCurveBoundedSurface, the domain is a rectangle in two-dimensional parameter space.
A surface is used:
for spatial modeling,
for construction of solid faces in special cases.

Member Function Documentation

◆ Duplicate()

virtual MbSpaceItem& MbSurface::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 MbSpaceItem.

Implemented in MbSplineSurface, MbMeshSurface, MbJoinSurface, MbPlane, MbSectionSurface, MbLoftedSurface, MbOffsetSurface, MbGridSurface, MbFilletSurface, MbConeSurface, MbChannelSurface, MbCoonsPatchSurface, MbCylinderSurface, MbCurveBoundedSurface, MbEvolutionSurface, MbRevolutionSurface, MbTorusSurface, MbSmoothSurface, MbRuledSurface, MbChamferSurface, MbSphereSurface, MbSpiralSurface, MbElevationSurface, MbExpansionSurface, MbCoverSurface, MbExactionSurface, MbCornerSurface, MbPolySurface, MbExtrusionSurface, MbExplorationSurface, MbGregorySurface, MbSectorSurface, MbSweptSurface, and MbElementarySurface.

◆ IsSame()

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

◆ SetEqual()

◆ Transform()

virtual void MbSurface::Transform ( const MbMatrix3D matr,
MbRegTransform iReg = NULL 
)
pure 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 MbSpaceItem.

Implemented in MbMeshSurface, MbJoinSurface, MbSectionSurface, MbPlane, MbLoftedSurface, MbOffsetSurface, MbGridSurface, MbFilletSurface, MbConeSurface, MbCoonsPatchSurface, MbCylinderSurface, MbCurveBoundedSurface, MbEvolutionSurface, MbRevolutionSurface, MbTorusSurface, MbRuledSurface, MbSmoothSurface, MbChamferSurface, MbSphereSurface, MbSpiralSurface, MbElevationSurface, MbExpansionSurface, MbCoverSurface, MbExactionSurface, MbCornerSurface, MbPolySurface, MbExtrusionSurface, MbExplorationSurface, MbGregorySurface, MbSectorSurface, MbSweptSurface, and MbElementarySurface.

◆ Move()

virtual void MbSurface::Move ( const MbVector3D to,
MbRegTransform iReg = NULL 
)
pure 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 MbSpaceItem.

Implemented in MbMeshSurface, MbJoinSurface, MbSectionSurface, MbLoftedSurface, MbOffsetSurface, MbGridSurface, MbFilletSurface, MbCoonsPatchSurface, MbCurveBoundedSurface, MbEvolutionSurface, MbRevolutionSurface, MbRuledSurface, MbSmoothSurface, MbChamferSurface, MbSpiralSurface, MbElevationSurface, MbExpansionSurface, MbCoverSurface, MbExactionSurface, MbCornerSurface, MbPolySurface, MbExtrusionSurface, MbExplorationSurface, MbGregorySurface, MbSectorSurface, MbSweptSurface, and MbElementarySurface.

◆ Rotate()

virtual void MbSurface::Rotate ( const MbAxis3D axis,
double  angle,
MbRegTransform iReg = NULL 
)
pure 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 MbSpaceItem.

Implemented in MbMeshSurface, MbJoinSurface, MbSectionSurface, MbLoftedSurface, MbOffsetSurface, MbGridSurface, MbFilletSurface, MbCoonsPatchSurface, MbCurveBoundedSurface, MbEvolutionSurface, MbRevolutionSurface, MbRuledSurface, MbSmoothSurface, MbChamferSurface, MbSpiralSurface, MbElevationSurface, MbExpansionSurface, MbCoverSurface, MbExactionSurface, MbCornerSurface, MbPolySurface, MbExtrusionSurface, MbExplorationSurface, MbGregorySurface, MbSectorSurface, MbSweptSurface, and MbElementarySurface.

◆ DistanceToPoint()

virtual double MbSurface::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

Implements MbSpaceItem.

Reimplemented in MbPlane, MbGridSurface, MbCurveBoundedSurface, and MbElementarySurface.

◆ AddYourGabaritTo()

virtual void MbSurface::AddYourGabaritTo ( MbCube cube) const
virtual

Expand sent bounding box (a.k.a. gabarit), so that it included the object.

Expand sent bounding box, so that it included the object.

Parameters
[in,out]cube- The bounding box to expand.

Implements MbSpaceItem.

◆ PrepareIntegralData()

virtual void MbSurface::PrepareIntegralData ( const bool  forced) const
virtual

Calculate temporary (mutable) data of an object.

Calculate the temporary data of an object depending of the "forced" parameter. Calculate only data that was not calculated earlier if parameter "forced" is equal false. Recalculate all temporary data of an object if parameter "forced" is equal true.

Parameters
[in]forced- Forced recalculation.

◆ CalculateMesh()

virtual void MbSurface::CalculateMesh ( const MbStepData stepData,
const MbFormNote note,
MbMesh mesh 
) const
virtual

Build polygonal copy mesh.

Build a polygonal copy of the object that is represented by polygons or/and fasets.

Parameters
[in]stepData- Data for еру step calculation for polygonal object.
[in]note- Way for polygonal object constructing.
[in,out]mesh- The builded polygonal object.

Implements MbSpaceItem.

Reimplemented in MbGridSurface, and MbCurveBoundedSurface.

◆ GetProperties()

◆ SetProperties()

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

◆ IsUClosed()

virtual bool MbSurface::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.

Implemented in MbSplineSurface, MbMeshSurface, MbJoinSurface, MbSectionSurface, MbPlane, MbLoftedSurface, MbOffsetSurface, MbGridSurface, MbConeSurface, MbCoonsPatchSurface, MbCurveBoundedSurface, MbCylinderSurface, MbTorusSurface, MbSmoothSurface, MbSphereSurface, MbCoverSurface, MbCornerSurface, MbPolySurface, MbGregorySurface, MbSweptSurface, and MbElementarySurface.

◆ IsVClosed()

virtual bool MbSurface::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.

Implemented in MbSplineSurface, MbMeshSurface, MbJoinSurface, MbSectionSurface, MbPlane, MbLoftedSurface, MbOffsetSurface, MbGridSurface, MbConeSurface, MbCoonsPatchSurface, MbCurveBoundedSurface, MbCylinderSurface, MbTorusSurface, MbSmoothSurface, MbSphereSurface, MbCoverSurface, MbCornerSurface, MbPolySurface, MbGregorySurface, MbSweptSurface, and MbElementarySurface.

◆ IsUTouch()

virtual bool MbSurface::IsUTouch ( ) const
virtual

Determine whether a surface is closed in u-parameter direction regardless of the smoothness of the closure.

Determine whether a surface is actually closed in u-parameter direction regardless of the smoothness of the closure.

Reimplemented in MbSplineSurface, MbMeshSurface, MbCurveBoundedSurface, and MbGregorySurface.

◆ IsVTouch()

virtual bool MbSurface::IsVTouch ( ) const
virtual

Determine whether a surface is closed in v-parameter direction regardless of the smoothness of the closure.

Determine whether a surface is actually closed in v-parameter direction regardless of the smoothness of the closure.

Reimplemented in MbSplineSurface, MbMeshSurface, MbCurveBoundedSurface, and MbGregorySurface.

◆ IsUPeriodic()

virtual bool MbSurface::IsUPeriodic ( ) const
virtual

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

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

Reimplemented in MbSplineSurface, MbMeshSurface, MbCurveBoundedSurface, and MbGregorySurface.

◆ IsVPeriodic()

virtual bool MbSurface::IsVPeriodic ( ) const
virtual

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

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

Reimplemented in MbSplineSurface, MbMeshSurface, MbCurveBoundedSurface, and MbGregorySurface.

◆ GetPeriod()

virtual double MbSurface::GetPeriod ( ptrdiff_t  i) const
virtual

Return period.

Period is calculated for smoothly closed surface in one of its parameters. If a surface is not closed in this parameter then 0 is returned.

Parameters
[in]i- Shows direction: 0 - period in u, 1 - period in v.

◆ Periodicity()

virtual size_t MbSurface::Periodicity ( ) const
virtual

Determine periodicity.

Whether a surface is periodic.

Returns
0 - it is not periodic
1 - it is periodic in U
2 - it is periodic in V
3 - it is periodic in U and V

◆ GetLimitPoint() [1/3]

virtual void MbSurface::GetLimitPoint ( ptrdiff_t  number,
MbCartPoint3D pnt 
) const
virtual

Calculate the boundary point.

Calculate one of the points where parameters take the maximum or the minimum values.

Parameters
[in]number- A number of a boundary point.
1 corresponds to the point (umin, vmin)
2 corresponds to the point (umax, vmin)
3 corresponds to the point (umax, vmax)
4 corresponds to the point (umin, vmax)
[in,out]pnt- A calculated point.

Reimplemented in MbPlane, MbGridSurface, and MbCurveBoundedSurface.

◆ GetLimitPoint() [2/3]

virtual void MbSurface::GetLimitPoint ( ptrdiff_t  number,
MbCartPoint pnt 
) const
virtual

Calculate the boundary two-dimensional point.

Calculate one of the points where parameters take the maximum or the minimum values.

Parameters
[in]number- A number of a boundary point.
1 corresponds to the point (umin, vmin)
2 corresponds to the point (umax, vmin)
3 corresponds to the point (umax, vmax)
4 corresponds to the point (umin, vmax)
[in,out]pnt- A calculated point.

Reimplemented in MbPlane, MbGridSurface, and MbCurveBoundedSurface.

◆ GetLimitPoint() [3/3]

MbCartPoint3D MbSurface::GetLimitPoint ( ptrdiff_t  number) const

Calculate the boundary point.

Calculate one of the points where parameters take the maximum or the minimum values.

Parameters
[in]number- A number of a boundary point.
1 corresponds to the point (umin, vmin)
2 corresponds to the point (umax, vmin)
3 corresponds to the point (umax, vmax)
4 corresponds to the point (umin, vmax)
Returns
A calculated point. Get the boundary three-dimensional point.

◆ CurvatureU()

virtual double MbSurface::CurvatureU ( double  u,
double  v 
) const
virtual

Calculate line curvature along the direction of u.

There is calculated a line curvature along the direction of u when v = const.

Parameters
[in]u- Parameter.
[in]v- Parameter.
Returns
Curvature.

Reimplemented in MbPlane, MbSectionSurface, MbOffsetSurface, MbConeSurface, MbCurveBoundedSurface, MbCylinderSurface, MbRevolutionSurface, MbTorusSurface, MbEvolutionSurface, MbRuledSurface, MbSphereSurface, MbSpiralSurface, MbExpansionSurface, and MbExtrusionSurface.

◆ CurvatureV()

virtual double MbSurface::CurvatureV ( double  u,
double  v 
) const
virtual

Calculate line curvature along the direction of v.

There is calculated a line curvature along the direction of v when u = const.

Parameters
[in]u- Parameter.
[in]v- Parameter.
Returns
Curvature.

Reimplemented in MbPlane, MbOffsetSurface, MbConeSurface, MbCurveBoundedSurface, MbFilletSurface, MbCylinderSurface, MbRevolutionSurface, MbTorusSurface, MbRuledSurface, MbSphereSurface, MbChamferSurface, MbExpansionSurface, MbExtrusionSurface, and MbSectorSurface.

◆ NormalCurvatureU()

double MbSurface::NormalCurvatureU ( double  u,
double  v 
) const

Calculate a normal curvature of line along the direction of u.

Normal curvature of the coordinate line is calculated along the direction of u.

Parameters
[in]u- Parameter.
[in]v- Parameter.
Returns
Curvature.

◆ NormalCurvatureV()

double MbSurface::NormalCurvatureV ( double  u,
double  v 
) const

Calculate a normal curvature of line along the direction of v.

Normal curvature of the coordinate line is calculated along the direction of v.

Parameters
[in]u- Parameter.
[in]v- Parameter.
Returns
Curvature.

◆ NormalCurvature()

double MbSurface::NormalCurvature ( double  u,
double  v,
double  du,
double  dv 
) const

Calculate a normal curvature of surface.

Normal curvature of surface is calculated along the line (du, dv).

Parameters
[in]u- Parameter.
[in]v- Parameter.
[in]du- Sets the direction of line a normal curvature is calculated along.
[in]dv- Sets the direction of line a normal curvature is calculated along.
Returns
Curvature.

◆ MeanGaussCurvature()

bool MbSurface::MeanGaussCurvature ( double  u,
double  v,
double &  mean,
double &  gauss 
) const

Calculate the mean and the Gaussian curvature.

The mean and the Gaussian curvature.

Parameters
[in]u- Parameter.
[in]v- Parameter.
[out]mean- Mean curvature.
[out]gauss- Gaussian curvature.
Returns
True if the operation succeeded
otherwise false.

◆ GetRadius()

virtual double MbSurface::GetRadius ( ) const
virtual

Get the physical radius of the object or null if it impossible.

Method returns maximum physical radius by one of the parametric direction if the corresponding parametric curve is the arc, method returns zero otherwise.

Reimplemented in MbSplineSurface, MbConeSurface, MbCylinderSurface, MbFilletSurface, MbTorusSurface, MbCurveBoundedSurface, MbSphereSurface, and MbExtrusionSurface.

◆ ChangeCarrier()

◆ ChangeCarrierBorne()

virtual bool MbSurface::ChangeCarrierBorne ( const MbSurface item,
MbSurface init,
const MbMatrix matr 
)
virtual

Changing of carrier elements.

It is used for union of coplanar faces. The surfaces 'item' and 'init' must be similar.

Parameters
[in]item- Changed surface
[in]init- New surface
[in]matr- Transition matrix from 'item' to 'init'
Returns
True if the operation succeeded
otherwise false.

Reimplemented in MbOffsetSurface, MbCurveBoundedSurface, MbFilletSurface, and MbChamferSurface.

◆ IsSpinePeriodic()

virtual bool MbSurface::IsSpinePeriodic ( ) const
virtual

Periodicity of the guide.

Returns
True if a surface has a guide and it is periodic.

Reimplemented in MbEvolutionSurface.

◆ NurbsSurface() [1/3]

MbSplineSurface* MbSurface::NurbsSurface ( bool  bmatch = false) const

Construct a NURBS copy of a surface.

An obtained surface is always unclosed in u and in v. The exception is the NURBS surface itself. If the surface does not require recalculation, then a copy of it is returned.

Parameters
[in]bmatch- true, if it is required to keep one-to-one correspondence of parametric regions in mapping.

◆ NurbsSurface() [2/3]

virtual MbSplineSurface* MbSurface::NurbsSurface ( double  u1,
double  u2,
double  v1,
double  v2,
bool  bmatch = false 
) const
virtual

Construct a NURBS copy of trimmed surface.

An obtained surface is always unclosed in u and in v. The exception is the NURBS surface itself. If the surface does not require recalculation, then a copy of it is returned. Parameters u1, u2, v1 and v2 are the bounds of surface trimming.

Parameters
[in]u1- Minimum parameter in U.
[in]u2- Maximum parameter in U.
[in]v1- Minimum parameter in V.
[in]v2- Maximum parameter in V.
[in]bmatch- true, if it is required to keep one-to-one correspondence of parametric regions in mapping.

Reimplemented in MbSplineSurface, MbOffsetSurface, MbJoinSurface, MbSectionSurface, MbPlane, MbLoftedSurface, MbCurveBoundedSurface, MbConeSurface, MbFilletSurface, MbCylinderSurface, MbRevolutionSurface, MbTorusSurface, MbEvolutionSurface, MbRuledSurface, MbSphereSurface, MbChamferSurface, MbSpiralSurface, MbExpansionSurface, MbElevationSurface, MbExactionSurface, MbExtrusionSurface, MbSectorSurface, and MbExplorationSurface.

◆ NurbsSurface() [3/3]

virtual MbSurface* MbSurface::NurbsSurface ( const MbNurbsParameters uParam,
const MbNurbsParameters vParam 
) const
virtual

Construct a NURBS copy of a surface.

Constructs a NURBS surface which approximates a given surface with the given parameters in each direction. In parameters the degree and the number of knots of a spline and the range of curve's parameters changing may be set. If the flag of accurate approximation is not set in parameters then NURBS without multiple knots is constructed.

Parameters
[in]uParam- Parameters of construction in u direction.
[in]vParam- Parameters of construction in v direction.
Returns
The constructed NURBS surface or NULL in a case of failure.

Reimplemented in MbSplineSurface, MbJoinSurface, MbSectionSurface, MbPlane, MbCurveBoundedSurface, MbConeSurface, MbFilletSurface, MbCylinderSurface, MbRevolutionSurface, MbTorusSurface, MbRuledSurface, MbSphereSurface, MbSmoothSurface, MbExpansionSurface, MbExtrusionSurface, and MbSectorSurface.

◆ NurbsParam()

bool MbSurface::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.

Prepare parameters for the transformation to NURBS surface. The number of points along the chosen direction if defined by the variable tParam.

Parameters
[in]tParam- Parameters for the transformation of a surface to NURBS with respect to one of parameters.
[in]uParam- Which parameter is considered:
true - prepares an approximation with respect to u. false - prepares an approximation with respect to v.
[in]op1- Minimal value of the second parameter.
[in]op2- Maximal value of the second parameter.
[out]isClosedNurbs- True - the approximating surface is closed in the chosen direction.
[out]epsilon- At the output - parametric tolerance in the given direction.
[out]params- A filled array of splitting parameters along the chosen direction.
Returns
True if the operation succeeded.

◆ CheckApproxPointParamsOpen()

void MbSurface::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.

Chose points on a surface for NURBS approximation along the parameter in the case of unclosed in the chosen direction surface. If a surface is approximated with the given knot vector, then splitting parameters are checked in order to leave at least one splitting point between the elements of a knot vector. If necessary, the list of splitting points is complemented. If a knot vector is not set (empty), then the knot vector is calculated according to the order, the number of knots and the proposed splitting.

Parameters
[in]isU- Which parameter is considered:
true - prepares an approximation with respect to u. false - prepares an approximation with respect to v.
[in]par- A value of second parameter.
[in]degree- An order of NURBS surface by a chosen direction.
[in]pCount- A number of knots of NURBS surface by a chosen direction.
[in,out]tList- A splitting parameters of NURBS surface by a chosen direction. They are calculated in the NurbsParam function.
[in,out]aKnots- A knot vector of NURBS surface.

◆ CheckApproxPointParamsClosed()

void MbSurface::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.

Chose points on a surface for NURBS approximation along the parameter in a case of closed in the chosen direction surface. If a surface is approximated with the given knot vector then splitting parameters are checked in order to leave at least one splitting point between the elements of a knot vector. If necessary, the list of splitting points is complemented. If a knot vector is not set (empty) then the knot vector is calculated according to the order, the number of knots and the proposed splitting.

Parameters
[in]isU- Which parameter is considered:
true - prepares an approximation with respect to u. false - prepares an approximation with respect to v.
[in]par- A value of second parameter.
[in]degree- An order of NURBS surface by a chosen direction.
[in]pCount- A number of knots of NURBS surface by a chosen direction.
[in,out]tList- A splitting parameters of NURBS surface by a chosen direction. They are calculated in the NurbsParam function.
[in,out]aKnots- A knot vector of NURBS surface.

◆ Offset()

virtual MbSurface* MbSurface::Offset ( double  d,
bool  same 
) const
virtual

Create an offset surface.

Parameters
[in]d- Distance by the normal vector from the base surface to the offset surface.
[in]same- A flag showing whether to use the current surface or its copy in offset surface.

Reimplemented in MbMeshSurface, MbOffsetSurface, MbJoinSurface, MbSectionSurface, MbPlane, MbLoftedSurface, MbCurveBoundedSurface, MbConeSurface, MbFilletSurface, MbCylinderSurface, MbRevolutionSurface, MbTorusSurface, MbEvolutionSurface, MbRuledSurface, MbSphereSurface, MbChamferSurface, MbSpiralSurface, MbElevationSurface, MbChannelSurface, MbExactionSurface, MbExtrusionSurface, and MbExplorationSurface.

◆ CurveU()

virtual MbCurve3D* MbSurface::CurveU ( double  v,
MbRect1D pRgn,
bool  bApprox = true 
) const
virtual

Construct spatial copy of the line v = const.

Parameters
[in]v- Parameter in V direction.
[in]pRgn- A range of u-parameters.
[in]bApprox- If false, then it returns null only in a case when the exact curve has been successfully created.
If true, then it returns null in a case when the curve is not degenerate.
Returns
Constructed curve.

Reimplemented in MbSplineSurface, MbMeshSurface, MbSectionSurface, MbPlane, MbLoftedSurface, MbCurveBoundedSurface, MbConeSurface, MbCylinderSurface, MbCoonsPatchSurface, MbRevolutionSurface, MbTorusSurface, MbEvolutionSurface, MbRuledSurface, MbSphereSurface, MbCoverSurface, MbCornerSurface, MbSpiralSurface, MbExpansionSurface, MbExactionSurface, MbExtrusionSurface, MbSectorSurface, and MbExplorationSurface.

◆ CurveV()

virtual MbCurve3D* MbSurface::CurveV ( double  u,
MbRect1D pRgn,
bool  bApprox = true 
) const
virtual

Construct spatial copy of the line u = const.

Parameters
[in]u- Parameter in U direction.
[in]pRgn- A range of v-parameters.
[in]bApprox- If false, then it returns null only in a case when the exact curve has been successfully created.
If true, then it returns null in a case when the curve is not degenerate.
Returns
Constructed curve.

Reimplemented in MbSplineSurface, MbMeshSurface, MbSectionSurface, MbPlane, MbLoftedSurface, MbCurveBoundedSurface, MbConeSurface, MbFilletSurface, MbCylinderSurface, MbCoonsPatchSurface, MbRevolutionSurface, MbTorusSurface, MbEvolutionSurface, MbRuledSurface, MbSphereSurface, MbCoverSurface, MbCornerSurface, MbChamferSurface, MbSpiralSurface, MbExpansionSurface, MbElevationSurface, MbExactionSurface, MbExtrusionSurface, MbSectorSurface, and MbExplorationSurface.

◆ CurveUV()

virtual MbCurve3D* MbSurface::CurveUV ( const MbLineSegment segm,
bool  bApprox = true 
) const
virtual

Construct spatial copy of line by parametric line.

Parameters
[in]segm- A segment in parametric plane of surface, a spatial copy of which is required to construct.
[in]bApprox- If false, then it returns null only in a case when the exact curve has been successfully created.
If true, then it returns null in a case when the curve is not degenerate.

Reimplemented in MbPlane, MbCurveBoundedSurface, MbConeSurface, MbCylinderSurface, and MbRuledSurface.

◆ PointRelative()

virtual MbeItemLocation MbSurface::PointRelative ( const MbCartPoint3D pnt,
double  eps = ANGLE_REGION 
) const
virtual

Get point location relative to the surface.

Parameters
[in]pnt- The investigated point.
[in]eps- Tolerance of getting a point onto a surface.
Returns
Iloc_InItem = 1 - point is located over the surface (from the side of normal vector)
iloc_OnItem = 0 - point is located on the surface,
iloc_OutOfItem = -1 - point is located under the surface.

Reimplemented in MbPlane.

◆ PointClassification()

virtual MbeItemLocation MbSurface::PointClassification ( const MbCartPoint pnt,
bool  ignoreClosed = false 
) const
virtual

A point is located inside the region on a surface.

Investigated two-dimensional point in the parametric plane of a surface.

Parameters
[in]pnt- The investigated point.
[in]ignoreClosed- Whether to consider the surface closedness. If true, then the closedness is not considered.
Returns
Iloc_InItem - point is inside surface region.
iloc_OnItem - point belongs to surface boundary.
iloc_OutOfItem - point is outside surface region.

Reimplemented in MbCurveBoundedSurface, and MbGridSurface.

◆ DistanceToBorder()

virtual double MbSurface::DistanceToBorder ( const MbCartPoint point,
double &  epsilon 
) const
virtual

Calculate the parametric distance to the nearest boundary.

The calculated distance is positive if the point is inside, and is negative if it is outside.

Parameters
[in]point- The investigated point.
[in]epsilon- Tolerance of getting a point onto a surface.
Returns
Returns the distance to the boundary.

Reimplemented in MbCurveBoundedSurface, and MbGridSurface.

◆ CurveClassification()

virtual size_t MbSurface::CurveClassification ( const MbCurve curve,
SArray< double > &  tcurv,
SArray< MbVector > &  dir 
) const
virtual

Determine points of intersections between the curve and the surface contours.

Determine points of intersections between the curve and the surface boundaries in order to find parts of the curve inside the surface region and vectors for their translation to the surface region. Translation vector is defined for each intersection point. If it is impossible to find a translation vector, then the vector with null size is saved into the array. It can be non-null if a surface is closed at least in one of directions. In this case the translation vector allows to move a part of a curve by a certain number of periods in such way that the found point of intersection between the curve and the boundary is located inside the surface region and the derivative of a curve at this point is directed inside the surface. Using the translation vector a curve can be moved by a certain number of periods. I.e. metrically the curve will not change.

Parameters
[in]curve- A given curve.
[in,out]tcurv- A set of curve parameters corresponding to the intersection points.
[in,out]dir- A set of translation vectors.
Returns
The number of intersections.

Reimplemented in MbCurveBoundedSurface, and MbGridSurface.

◆ SurfaceBorderIntersection()

size_t MbSurface::SurfaceBorderIntersection ( const MbCurve curve,
SArray< double > &  tcurv,
SArray< MbVector > &  dir 
) const

Determine points of intersections between the curve and the surface contours.

Determine points of intersections between the curve and the surface boundaries in order to find parts of a curve inside the surface region and vectors for their translation to the surface region. Translation vector is defined for each intersection point. If it is impossible to find a translation vector then the vector with null size is saved into the array. It can be non-null if a surface is closed at least in one of directions. In this case the translation vector allows to move a part of a curve by a certain number of periods in such way that the found point of intersection between the curve and the boundary is located inside the surface region and the derivative of a curve at this point is directed inside the surface. Using the translation vector a curve can be moved by a certain number of periods. I.e. metrically the curve will not change.

Parameters
[in]curve- A given curve.
[in,out]tcurv- A set of curve parameters corresponding to the intersection points.
[in,out]dir- A set of translation vectors.
Returns
The number of intersections.

◆ NearPointProjection()

virtual bool MbSurface::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 in MbSplineSurface, MbMeshSurface, MbLoftedSurface, MbCurveBoundedSurface, MbOffsetSurface, MbFilletSurface, MbGridSurface, MbRevolutionSurface, MbRuledSurface, MbSpiralSurface, MbExtrusionSurface, and MbElementarySurface.

◆ DirectPointProjection()

virtual void MbSurface::DirectPointProjection ( const MbCartPoint3D pnt,
const MbVector3D vect,
SArray< MbCartPoint > &  uv,
bool  ext,
MbRect2D uvRange = NULL 
) const
virtual

Find all a point projection onto the surface along a vector in either of two directions.

Calculate all points of intersection with the ray outgoing from the given point 'p' by the direction 'vect'. 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.

Parameters
[in]pnt- A given point.
[in]vect- A direction vector.
[out]uv- A set of projection points in the area of surface definition.
[in]ext- A flag defining whether to seek projection on the extension of the surface.
[in]uvRange- A range of surface parameters changing in which the solution should be found.

Reimplemented in MbSplineSurface, MbMeshSurface, MbOffsetSurface, MbPlane, MbLoftedSurface, MbCurveBoundedSurface, MbGridSurface, MbConeSurface, MbCylinderSurface, MbRevolutionSurface, MbTorusSurface, and MbSphereSurface.

◆ NearDirectPointProjection()

virtual bool MbSurface::NearDirectPointProjection ( const MbCartPoint3D pnt,
const MbVector3D vect,
double &  u,
double &  v,
bool  ext,
MbRect2D uvRange = NULL,
bool  onlyPositiveDirection = false 
) const
virtual

Find the nearest point projection to the surface in the vector direction.

Calculate the nearest point of intersection with the ray outgoing from the given point 'p' by the direction 'vect'. 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.

Parameters
[in]pnt- A given point.
[in]vect- A direction vector.
[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 curve.
[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 in MbPlane.

◆ CurveIntersection()

virtual void MbSurface::CurveIntersection ( const MbCurve3D curv,
SArray< MbCartPoint > &  uv,
SArray< double > &  tt,
bool  ext0,
bool  ext,
bool  touchInclude = false 
) const
virtual

Determine points of intersection between a surface and a curve.

Determine points of intersection between a surface and a curve.

Parameters
[in]curv- A given curve.
[in]uv- A set of intersection points on the surface.
[in,out]tt- A set of intersection points on the curve.
[in]ext0- A flag defining whether to seek intersections on extended surface (if it is true, then seek).
[in]ext- A flag defining whether to seek intersections on extended curve (if it is true, then seek).
[in]touchInclude- Whether to consider tangency as intersection. If true, then consider.

Reimplemented in MbPlane, MbCurveBoundedSurface, MbGridSurface, MbConeSurface, MbCylinderSurface, MbTorusSurface, MbSphereSurface, MbRuledSurface, and MbExtrusionSurface.

◆ IsSimilarToSurface()

virtual bool MbSurface::IsSimilarToSurface ( const MbSurface surf,
VERSION  version,
double  precision = METRIC_PRECISION 
) const
virtual

Define whether the surfaces are similar for merge.

Surfaces are similar for merge if they coincide geometrically or one surface transits to another.

Parameters
[in]surf- A given surface.
[in]version- Version of operation.
[in]precision- Precision of calculation.
Returns
True - if surfaces are similar.

Reimplemented in MbSplineSurface, MbPlane, MbSectionSurface, MbCurveBoundedSurface, MbOffsetSurface, MbFilletSurface, MbConeSurface, MbCylinderSurface, MbTorusSurface, MbRevolutionSurface, MbEvolutionSurface, MbRuledSurface, MbSphereSurface, MbChamferSurface, MbCoverSurface, MbExpansionSurface, MbSpiralSurface, MbExtrusionSurface, and MbExactionSurface.

◆ ProjectCurveOnSimilarSurface() [1/2]

virtual bool MbSurface::ProjectCurveOnSimilarSurface ( const MbCurve3D spaceCurve,
const MbCurve curve,
const MbSurface surfNew,
MbCurve *&  curveNew 
) const
virtual

Construction of projection of a surface curve on coincident surface.

A projection of surface intersection curve is constructed on a given surface. It is implied that the given surface is similar to one of surfaces of the intersection curve but this fact is not checked.

Parameters
[in]spaceCurve- A given intersection curve.
[in]curve- A two-dimensional curve on a surface.
[in]surfNew- New surface.
[out]curveNew- An obtained two-dimensional curve on new surface.
Returns
True - if the operation succeeded.

Reimplemented in MbCurveBoundedSurface, and MbSphereSurface.

◆ ProjectCurveOnSimilarSurface() [2/2]

bool MbSurface::ProjectCurveOnSimilarSurface ( const MbCurve3D spaceCurve,
const MbCurve curve,
const MbSurface surfNew,
SPtr< MbCurve > &  curveNew 
) const

Construction of projection of a surface curve on coincident surface.

A projection of surface intersection curve is constructed on a given surface. It is implied that the given surface is similar to one of surfaces of the intersection curve but this fact is not checked.

Parameters
[in]spaceCurve- A given intersection curve.
[in]curve- A two-dimensional curve on a surface.
[in]surfNew- New surface.
[out]curveNew- An obtained two-dimensional curve on new surface.
Returns
True - if the operation succeeded.

◆ GetMatrixToSurface()

virtual bool MbSurface::GetMatrixToSurface ( const MbSurface surf,
MbMatrix matr,
VERSION  version,
double  precision = METRIC_PRECISION 
) const
virtual

Get two-dimensional matrix of transformation from its parametric region to the parametric region of 'surf'.

Calculation of matrix of transformation from one parametric region to another. it is performed for the surfaces which are similar for merge.

Parameters
[in]surf- A given surface.
[out]matr- A transformation matrix.
[in]version- Version of operation.
[in]precision- Precision of calculation.
Returns
True - matrix is calculated.

Reimplemented in MbSplineSurface, MbPlane, MbSectionSurface, MbCurveBoundedSurface, MbOffsetSurface, MbFilletSurface, MbConeSurface, MbCylinderSurface, MbTorusSurface, MbRevolutionSurface, MbRuledSurface, MbEvolutionSurface, MbSphereSurface, MbChamferSurface, MbExpansionSurface, MbCoverSurface, MbSpiralSurface, MbExtrusionSurface, and MbExactionSurface.

◆ DistanceToCurve()

virtual double MbSurface::DistanceToCurve ( const MbCurve3D curve,
double &  u,
double &  v,
double &  t,
bool  tCalc = false 
) const
virtual

Calculate the nearest distance to a curve.

Calculation of the minimum distance between a curve and a surface. Determination of the points on a surface and a curve where the minimum distance is reached.

Parameters
[in]curve- A given curve.
[out]u- Coordinate of the calculated point on surface.
[out]v- Coordinate of the calculated point on surface.
[in,out]t- Input - an initial approximation to the required point on a curve. Output - a parameter of the calculated point on a curve.
[in]tCalc- A flag showing whether to use t as initial approximation.
Returns
The minimum distance between a curve and a surface.

◆ DistanceToSurface()

virtual double MbSurface::DistanceToSurface ( const MbSurface surf1,
double &  u0,
double &  v0,
double &  u1,
double &  v1 
) const
virtual

Calculate the nearest distance to a surface.

Calculating of minimum distance between two surfaces. Determination of the points on surfaces where the minimum distance is reached.

Parameters
[in]surf1- A given surface.
[out]u0- Coordinate of the calculated point on the current surface.
[out]v0- Coordinate of the calculated point on the current surface.
[out]u1- Coordinate of the calculated point on the given surface.
[out]v1- Coordinate of the calculated point on the given surface.
Returns
Minimal distance between surfaces.

◆ GetUPairs()

virtual size_t MbSurface::GetUPairs ( double  v,
SArray< double > &  u 
) const
virtual

Calculate U-pairs by V.

Calculate significant u-parameters of a surface with the given parameter v. In a case of general form - minimal and maximal values of u-parameter.

Parameters
[in]v- Given parameters.
[out]u- A set of values of u.
Returns
The number of calculated values of u.

Reimplemented in MbCurveBoundedSurface, and MbGridSurface.

◆ GetVPairs()

virtual size_t MbSurface::GetVPairs ( double  u,
SArray< double > &  v 
) const
virtual

Calculate V-pairs by U.

Calculate significant v-parameters of a surface with the given parameter u. In case of a surface of general form - minimal and maximal values of v-parameter.

Parameters
[in]u- Given parameters.
[out]v- A set of values of v.
Returns
The number of calculated values of v.

Reimplemented in MbCurveBoundedSurface, and MbGridSurface.

◆ GetIsoclinal()

virtual void MbSurface::GetIsoclinal ( const MbVector3D nor,
SArray< MbCartPoint > &  uv 
) const
virtual

Find all isoclines of a surface.

Find the points on a surface where the tangent plane is parallel to a plane having a normal nor.

Parameters
[in]nor- A vector which defines a plane.
[out]uv- A set of parameters of points for the required tangent.

◆ CopyGabarit()

void MbSurface::CopyGabarit ( const MbSurface s,
const MbVector3D to = NULL 
)
inline

Copy the bounding box from the copy.

Copy from the copy ready estimates which were not calculated in the original.

Warning
A check of identity between a copy and an original is not performed for the time saving!
Parameters
[in]s- A surface-copy.

◆ CalculateRect()

void MbSurface::CalculateRect ( const MbPlacement3D place,
MbRect rect 
) const

Calculate the rectangular bounding box of a surface in the given plane.

Get the rectangular bounding box of surfaces in the XAOY plane of the placement.

Parameters
[in]place- The given placement.
[out]rect- Calculated rectangle.

◆ MakeContour()

virtual MbContour& MbSurface::MakeContour ( bool  sense) const
virtual

Return the bounding two-dimensional contour.

The function creates new two-dimensional bounding contour. The object should be deleted after using.

Parameters
[in]sense- Whether the contour direction coincides with the counterclockwise traverse direction.
Returns
Bounding contour.

Reimplemented in MbCurveBoundedSurface, and MbGridSurface.

◆ MakeSegment()

virtual MbCurve& MbSurface::MakeSegment ( size_t  i,
bool  sense 
) const
virtual

Return a segment of the bounding two-dimensional contour.

The function creates a segment of bounding contour according to the parameter i.
i = 0 - A segment of boundary where v = vmin
i = 1 - A segment of boundary where u = umax
i = 2 - A segment of boundary where v = vmax
i = 3 - A segment of boundary where u = umin
The object should be deleted after using.

Parameters
[in]i- An index of segment.
[in]sense- Whether the contour direction coincides with the counterclockwise traverse direction.
Returns
A boundary curve.

Reimplemented in MbCurveBoundedSurface, and MbGridSurface.

◆ MakeCurve()

MbCurve& MbSurface::MakeCurve ( size_t  number1,
size_t  number2 
) const

Return a segment of the bounding two-dimensional contour.

The function finds the boundary points of a surface using the function GetLimitPoint and constructs a segment from the point with the number 'number1' to the points with the number 'number2'. The object should be deleted after using.

Parameters
[in]number1- A number of a boundary surface.
[in]number2- A number of a boundary surface.
Returns
A boundary curve.

◆ CalculatePolygon()

void MbSurface::CalculatePolygon ( double  minPar,
double  maxPar,
double  constPar,
MbeParamDir  dir,
const MbStepData stepData,
MbPolygon3D polygon 
) const

Calculate polygon by u or v.

In the function the surface curve is constructed - a segment along the chosen direction and after that a curve approximating polygon is calculated.

Parameters
[in]minPar- Minimal value of parameter in the chosen direction.
[in]maxPar- Maximal value of parameter in the chosen direction.
[in]constPar- A value of second parameter.
[in]dir- A chosen direction.
dir == pd_DirU - calculation is performed by u-parameter, v = const.
dir == pd_DirU - calculation is performed by v-parameter, u = const.
[in]sag- A sag value, defining the tolerance of approximation.
[out]polygon- Calculated polygon.

◆ CalculateSurfaceWire()

virtual void MbSurface::CalculateSurfaceWire ( const MbStepData stepData,
size_t  beg,
MbMesh mesh,
size_t  uMeshCount = c3d::WIRE_MAX,
size_t  vMeshCount = c3d::WIRE_MAX 
) const
virtual

Calculate mesh.

In the function the mesh calculation for surface drawing is performed.

Parameters
[in]sag- A sag value, defining the tolerance..
[in]beg- A number of the the first knot which gets into the mesh by each direction. For the construction of mesh of the whole surface beg == 0.
[out]mesh- A calculated mesh.
[in]uMeshCount- The number of u-mesh lines.
[in]vMeshCount- The number of v-mesh lines.

Reimplemented in MbCurveBoundedSurface, MbGridSurface, and MbCornerSurface.

◆ GetTesselation()

virtual void MbSurface::GetTesselation ( const MbStepData stepData,
double  u1,
double  u2,
double  v1,
double  v2,
SArray< double > &  uu,
SArray< double > &  vv 
) const
virtual

Determine a splitting of parametric region of a surface by verticals and horizontals.

Determine a splitting of parametric region of a surface by verticals and horizontals during triangulation.

Parameters
[in]stepData- Data for step calculation during triangulation.
[in]u1- Minimal value of u-parameter in the region of surface splitting.
[in]u2- Maximal value of u-parameter in the region of surface splitting.
[in]v1- Minimal value of v-parameter in the region of surface splitting.
[in]v2- Maximal value of v-parameter in the region of surface splitting.
[out]uu- A set of parameters of splitting by u.
[out]vv- A set of parameters of splitting by v.

Reimplemented in MbSplineSurface, MbPlane, MbSectionSurface, MbCurveBoundedSurface, MbOffsetSurface, MbFilletSurface, MbLoftedSurface, MbConeSurface, MbGridSurface, MbCylinderSurface, MbRevolutionSurface, MbTorusSurface, MbRuledSurface, MbEvolutionSurface, MbSphereSurface, MbSpiralSurface, MbExpansionSurface, MbExtrusionSurface, MbSectorSurface, and MbExplorationSurface.

◆ AddTesselation()

void MbSurface::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.

Determine a splitting of parametric region of a surface by verticals and horizontals. Add parameters into an array in the direction dir. If the arrays uu and vv are not empty then their elements are deleted. i.e. a clarification of mesh in a given direction is performed.

Parameters
[in]stepData- Data for step calculation during triangulation.
[in]dir- A chosen direction.
dir == pd_DirU - calculation is performed by u-parameter, v = const.
dir == pd_DirU - calculation is performed by v-parameter, u = const.
[in]u1- Minimal value of u-parameter in the region of surface splitting.
[in]u2- Maximal value of u-parameter in the region of surface splitting.
[in]v1- Minimal value of v-parameter in the region of surface splitting.
[in]v2- Maximal value of v-parameter in the region of surface splitting.
[out]uu- A set of parameters of splitting by u.
[out]vv- A set of parameters of splitting by v.

◆ CalculateSurfaceGrid()

virtual void MbSurface::CalculateSurfaceGrid ( const MbStepData stepData,
bool  sense,
MbGrid grid 
) const
virtual

Approximate a surface by triangular plates.

Approximate a surface by triangular plates.

Parameters
[in]stepData- Data for step calculation during triangulation.
[in]sense- It determines the coincidence of normals of surfaces and triangles.
[out]grid- The result of splitting.

Reimplemented in MbCurveBoundedSurface, and MbGridSurface.

◆ IsShift()

virtual bool MbSurface::IsShift ( const MbSpaceItem obj,
MbVector3D dir,
bool &  isSame,
double  accuracy = LENGTH_EPSILON 
) const
virtual

Determine whether the object is a translation.

Determine whether the object is a translation of a given object.

Parameters
[in]obj- A pattern object.
[out]dir- A translation vector if the object is translation.
[out]isSame- True at the output if the current surface and the pattern object are identical.
Returns
True - if a surface is translation

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

◆ CheckSurfParams()

virtual void MbSurface::CheckSurfParams ( double &  u,
double &  v 
) const
virtual

Check parameters. Analogue of the global function _CheckParams, optimized for caches usage.

Check parameters and move them inside domain if parameter is out of pole.

Parameters
[in]surface- Surface.
[in]u- First parameter.
[in]v- Second parameter.

Reimplemented in MbSplineSurface, MbMeshSurface, MbOffsetSurface, and MbLoftedSurface.

◆ GetMatrix()

bool MbSurface::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.

The new range of parameters is set for a surface. A surface doesn't change geometrically. The function searches a matrix of transformation for the two-dimensional curves on a surface for the transition from old parameterization to new parameterization.

Parameters
[in]xMin- The new minimum value of u.
[in]xMax- The new maximum value of u.
[in]yMin- The new minimum value of v.
[in]yMax- The new maximum value of v.
[in]matr- A transformation matrix.

Member Data Documentation

◆ cube

MbCube MbSurface::cube
mutableprotected

Bounding box of surface.

Bounding box of surface is calculated only at the request. Bounding box of surface is undefined after object constructor and after object modifications


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