C3D Toolkit  Kernel - 117982, Vision - 2.9.2.2

Contour on surface. More...

#include <cur_contour_on_surface.h>

+ Inheritance diagram for MbContourOnSurface:
+ Collaboration diagram for MbContourOnSurface:

Public Member Functions

 MbContourOnSurface (const MbSurface &, const MbContour &, bool same)
 Constructor by surface, contour and flag of using original contour.
 
 MbContourOnSurface (const MbSurface &, int sense)
 Constructor by a surface and the traverse direction of surface.
 
MbeSpaceType IsA () const override
 Get the type of the object.
 
MbeSpaceType Type () const override
 Get the group object type.
 
MbSpaceItemDuplicate (MbRegDuplicate *=nullptr) const override
 Create a copy of the object. More...
 
virtual MbContourOnSurfaceCurvesDuplicate () const
 Create a copy on the same surface.
 
bool IsSame (const MbSpaceItem &other, double accuracy=LENGTH_EPSILON) const override
 Determine whether an object is equal. More...
 
bool SetEqual (const MbSpaceItem &) override
 Make objects equal if they are similar. More...
 
bool IsSimilar (const MbSpaceItem &) const override
 Determine whether an object is similar. More...
 
void Transform (const MbMatrix3D &, MbRegTransform *=nullptr) override
 Convert the object according to the matrix. More...
 
void Move (const MbVector3D &, MbRegTransform *=nullptr) override
 Move an object along a vector. More...
 
void Rotate (const MbAxis3D &, double angle, MbRegTransform *=nullptr) override
 Rotate an object around an axis at a given angle. More...
 
double DistanceToPoint (const MbCartPoint3D &) const override
 Determine the distance to the point. More...
 
void AddYourGabaritTo (MbCube &r) const override
 Expand sent bounding box (a.k.a. gabarit), so that it included the object. More...
 
void CalculateMesh (const MbStepData &stepData, const MbFormNote &note, MbMesh &mesh) const override
 Build polygonal copy mesh. More...
 
void Refresh () override
 Translate all the time (mutable) data objects in an inconsistent (initial) state.
 
void PrepareIntegralData (const bool forced) const override
 Calculate temporary (mutable) data of an object. More...
 
void GetProperties (MbProperties &) override
 Outstanding properties of the object. More...
 
void SetProperties (const MbProperties &) override
 Change the properties of an object. More...
 
void GetBasisItems (RPArray< MbSpaceItem > &) override
 Outstanding reference objects in a container sent.
 
void GetBasisPoints (MbControlData3D &) const override
 Get control points of object.
 
void SetBasisPoints (const MbControlData3D &) override
 Change the object by control points.
 
double GetTMax () const override
 Get the maximum value of parameter.
 
double GetTMin () const override
 Get the minimum value of parameter.
 
bool IsClosed () const override
 Define whether the curve is periodic. More...
 
void PointOn (double &t, MbCartPoint3D &) const override
 Calculate a point on the curve. More...
 
void FirstDer (double &t, MbVector3D &) const override
 Calculate first derivative.
 
void SecondDer (double &t, MbVector3D &) const override
 Calculate second derivative.
 
void ThirdDer (double &t, MbVector3D &) const override
 Calculate third derivative.
 
void _PointOn (double t, MbCartPoint3D &) const override
 Calculate point at curve and its extension. More...
 
void _FirstDer (double t, MbVector3D &) const override
 Calculate first derivative at curve and its extension.
 
void _SecondDer (double t, MbVector3D &) const override
 Calculate second derivative at curve and its extension.
 
void _ThirdDer (double t, MbVector3D &) const override
 Calculate third derivative at curve and its extension.
 
void Explore (double &t, bool ext, MbCartPoint3D &pnt, MbVector3D &fir, MbVector3D *sec, MbVector3D *thir) const override
 Calculate point and derivatives of object for given parameter. More...
 
void Inverse (MbRegTransform *iReg=nullptr) override
 Change the contour orientation relative to a surface.
 
MbNurbs3DNurbsCurve (const MbCurveIntoNurbsInfo &) const override
 Construct a NURBS copy of a curve. More...
 
MbCurve3DTrimmed (double t1, double t2, int sense, const MbDimAccuracy &xyzEps, bool saveParamLenAndLaw) const override
 Construct a trimmed curve with the given two-dimensional accuracy. More...
 
double Step (double t, double sag) const override
 Calculate parameter step. More...
 
double DeviationStep (double t, double angle) const override
 Calculate parameter step. More...
 
double GetMetricLength () const override
 Calculate the metric length of a curve.
 
double GetLengthEvaluation () const override
 Calculate the metric length of a curve. More...
 
double CalculateMetricLength () const override
 Calculate the metric length of a curve.
 
void CalculateGabarit (MbCube &) const override
 Calculate bounding box of a curve.
 
void SetDirtyGabarit () const
 Reset the calculated bounding box.
 
const MbCubeGetGabarit () const
 Get the bounding box of curve.
 
virtual void CalculateUVLimits (MbRect &uvRect)
 Calculate the parametric bounding box of the contour.
 
void ChangeCarrier (const MbSpaceItem &item, MbSpaceItem &init) override
 Change the carrier. For surface curves.
 
bool ChangeCarrierBorne (const MbSpaceItem &item, MbSpaceItem &init, const MbMatrix &matr) override
 Change the carrier. More...
 
virtual bool ChangeSurface (const MbSurface &)
 Replace the surface of contour.
 
void ChangeContour (MbContour &)
 Replace the two-dimensional contour.
 
bool IsPlanar (double accuracy=METRIC_EPSILON) const override
 Is a curve planar?
 
bool IsSmoothConnected (double angleEps) const override
 Are joints of contour/curve smooth?
 
bool GetPlaneCurve (MbCurve *&curve2d, MbPlacement3D &place3d, bool saveParams, PlanarCheckParams params=PlanarCheckParams()) const override
 Get planar curve and placement if the space curve is planar. More...
 
bool GetSurfaceCurve (MbCurve *&curve2d, MbSurface *&surface, VERSION version=Math::DefaultMathVersion()) const override
 Get surface curve if the space curve is surface (after the using call DeleteItem for arguments)
 
bool GetPlacement (MbPlacement3D &place, PlanarCheckParams params=PlanarCheckParams()) const override
 Fill the placement if a curve is planar.
 
bool NearPointProjection (const MbCartPoint3D &, double &t, bool ext, MbRect1D *tRange=nullptr) const override
 Find the point projection to the curve. More...
 
bool IsStraight (bool ignoreParams=false) const override
 Whether the line is straight?
 
MbCurveGetMap (const MbMatrix3D &, MbRect1D *pRgn=nullptr, VERSION version=Math::DefaultMathVersion(), bool *coincParams=nullptr) const override
 Construct a planar projection of a piece of a space curve. More...
 
void GetAnalyticalFunctionsBounds (std::vector< double > &params) const override
 Get the boundaries of the curve sections that are described by one analytical function. More...
 
void GetCurvatureSpecialPoints (std::vector< c3d::DoublePair > &points) const override
 Find all the special points of the curvature function of the curve. More...
 
bool IsContinuousDerivative (bool &contLength, bool &contDirect, c3d::DoubleVector *params=nullptr, double epsilon=EPSILON) const override
 Have the first derivative of the curve the continuous length and direction? More...
 
bool SetContinuousDerivativeLength (VERSION version, double epsilon=EPSILON) override
 Eliminate the discontinuities of the first derivative at length. More...
 
void BreakPoints (std::vector< double > &vBreaks, double precision=ANGLE_REGION) const override
 \ ru Определение точек излома кривой. The determination of curve smoothness break points.
 
MbResultType Extend (const MbCurveExtensionParameters3D &parameters, c3d::SpaceCurveSPtr &resCurve) const override
 Extend the curve. More...
 
const MbSurfaceGetSurface () const
 Get the base surface.
 
const MbContourGetContour () const
 Get the two-dimensional contour.
 
const MbCurveGetSegment (size_t index) const
 Get the segment of the two-dimensional contour.
 
MbSurfaceSetSurface ()
 Get the base surface for editing.
 
MbContourSetContour ()
 Get the two-dimensional contour for editing.
 
MbCurveSetSegment (size_t index)
 Get the segment of the two-dimensional contour for editing.
 
size_t GetSegmentsCount () const
 Get the number of contour segments.
 
MbContourContourDuplicate () const
 Get a copy of the two-dimensional contour.
 
MbContour3DCreateContour () const
 Create a spatial copy of a contour on a surface. More...
 
void SurfaceNormal (double t, MbVector3D &n) const
 Calculate normals to the surface in the curve parameter.
 
double SurfaceTransversalCurvature (double t, const MbVector3D &tau) const
 The surface curvature in the transverse direction to the vector tau.
 
ptrdiff_t FindSegment (double &t, double &tSeg) const
 Find a contour segment. More...
 
void FindCorner (ptrdiff_t index, MbCartPoint &) const
 Find a point of the contour segment by the index.
 
void FindCorner (ptrdiff_t index, MbCartPoint3D &) const
 Find a point of the contour segment by the index.
 
void FindCorner (ptrdiff_t index, MbCartPoint3D &, double &) const
 Find a point of the contour segment by the index taking into account the tolerance of docking segments.
 
void AddSegment (MbCurve &newSegment)
 Add a segment to the contour.
 
void AddSegment (MbCurve &pBasis, double t1, double t2, int sense)
 Add a segment to the contour.
 
void AddSegment (MbSurfaceCurve &newSegment)
 Add a segment to the contour.
 
void AddSegment (MbSurfaceCurve &pBasis, double t1, double t2, int sense)
 Add a segment to the contour.
 
void GetSurfacePar (double &t, double &u, double &v) const
 Get surface parameters by the parameter on the contour.
 
void GetUPairs (double v, SArray< double > &u) const
 Calculate U-pairs from V.
 
void GetVPairs (double u, SArray< double > &v) const
 Calculate V-pairs from U.
 
double Area () const
 Calculate the area and the contour orientation relative to the surface.
 
bool NormalizeOrientation ()
 Orient the contour counterclockwise.
 
MbeItemLocation PointClassification (const MbCartPoint &) const
 Classify the position of the point relative to the contour.
 
double DistanceToBorder (const MbCartPoint &pnt, double &eps) const
 Calculate the parametric distance to the nearest boundary.
 
MbeItemLocation ContourClassification (const MbContourOnSurface &cntr, double precision=Math::metricPrecision) const
 Determine whether the contour "cntr" is inside the region of the contour (contours do not intersect).
 
size_t SegmentIntersection (const MbCurve &pCurve, SArray< double > &tcontour, SArray< double > &tcurv, double epsilon=Math::metricEpsilon) const
 Determine points of intersection with two-dimensional uv-curve. More...
 
size_t SurfaceCurveIntersection (const MbSurfaceCurve &curv, SArray< double > &tcontour, SArray< double > &tcurv, double epsilon=Math::metricEpsilon) const
 Determine points of intersection with a spatial curve. More...
 
size_t ContourOnSurfaceIntersection (const MbContourOnSurface &cntr, SArray< double > &tcontour, SArray< double > &tcntr, double epsilon=Math::metricEpsilon) const
 Determine intersection points with the contour on the surface. More...
 
bool SetCurveEqual (const MbSpaceItem &)
 Make the contour equal.
 
bool IsCurveEqual (const MbSpaceItem &) const
 Determine whether the objects are similar.
 
bool CreateCubeTree (const size_t &indSegmMin, const size_t &indSegmMax) const
 Create and initialize the segments bounding box tree. More...
 
virtual MbCurve3DTrimmed (double t1, double t2, int sense, bool saveParamLenAndLaw=false) const
 Construct a trimmed curve. More...
 
virtual MbCurve3DTrimmed (double t1, double t2, int sense, const MbDimAccuracy &xyzEps, bool saveParamLenAndLaw) const
 Construct a trimmed curve with the given two-dimensional accuracy. More...
 
- Public Member Functions inherited from MbCurve3D
virtual ~MbCurve3D ()
 Destructor.
 
virtual void Accept (Visitor &visitor)
 Implementation of a function initializing a visit of an object.
 
size_t size () const
 Size of curve interpreted as vector of curves.
 
const MbCurve3Doperator[] (size_t) const
 An access operator.
 
MbeSpaceType Type () const override
 Get the group object type.
 
MbeSpaceType Family () const override
 Get family of objects.
 
virtual MbCurve3DInverseDuplicate () const
 Create a copy with changed direction.
 
double DistanceToPoint (const MbCartPoint3D &) const override
 Determine the distance to the point. More...
 
void AddYourGabaritTo (MbCube &) const override
 Expand sent bounding box (a.k.a. gabarit), so that it included the object. More...
 
void Refresh () override
 Translate all the time (mutable) data objects in an inconsistent (initial) state.
 
virtual bool IsSpaceSame (const MbSpaceItem &item, double eps=METRIC_REGION) const
 Are the objects identical in space?
 
virtual double GetPeriod () const
 Return period. If a curve is not periodic then 0.
 
virtual bool IsPeriodic () const
 Define whether the curve is periodic. More...
 
bool IsTouch (double eps=Math::metricPrecision) const
 Determine whether a curve is closed regardless of the smoothness of the closure. More...
 
virtual void Tangent (double &t, MbVector3D &) const
 Calculate tangent vector (normalized).
 
virtual void Normal (double &t, MbVector3D &) const
 Calculate main normal vector.
 
virtual void BNormal (double &t, MbVector3D &) const
 Calculate binormal vector.
 
virtual void _Tangent (double t, MbVector3D &) const
 Calculate tangent vector (normalized) at curve and its extension.
 
virtual void _Normal (double t, MbVector3D &) const
 Calculate main normal vector (normalized) at curve and its extension.
 
virtual void _BNormal (double t, MbVector3D &) const
 Calculate binormal vector (normalized) at curve and its extension.
 
virtual void FastApproxExplore (double &t, MbCartPoint3D &pnt, MbVector3D &fir, MbVector3D *sec) const
 Calculate point and derivatives on the curve. More...
 
virtual double MetricStep (double t, double length) const
 Calculate parameter step. More...
 
double CurveStep (const double &t, const MbStepData &stepData) const
 Calculate parameter step. More...
 
virtual void ResetTCalc () const
 Reset the current value of parameter.
 
virtual const MbCurve3DGetBasisCurve () const
 Returns the base curve if exists or itself.
 
virtual MbCurve3DSetBasisCurve ()
 Returns the base curve if exists or itself.
 
virtual double Curvature (double t) const
 Calculate curvature of curve.
 
virtual void ThirdMetricDer (double t, MbVector3D &vect) const
 Calculate second derivative of tangent.
 
MbNurbs3DNurbsCurve (const MbCurveIntoNurbsInfo *nInfo=nullptr) const
 Construct a NURBS copy of a curve. More...
 
virtual MbCurve3DNurbsCurve (const MbNurbsParameters &tParameters) const
 Construct a NURBS copy of a curve. More...
 
virtual size_t NurbsCurveMinPoints (const MbNurbsParameters &tParameters, double epsilon=c3d::METRIC_DELTA) const
 Define the number of knots of a NURBS curve which is required to approximate the curve with the given tolerance. More...
 
virtual MbCurve3DTrimmed (double t1, double t2, int sense, bool saveParamLenAndLaw=false) const
 Construct a trimmed curve. More...
 
double GetParamLength () const
 Return the parametric length of a curve.
 
virtual double CalculateLength (double t1, double t2) const
 Calculate the metric length of a curve. More...
 
virtual bool DistanceAlong (double &t, double len, int curveDir, double eps=Math::metricPrecision, VERSION version=Math::DefaultMathVersion()) const
 Translate parameter along the curve. More...
 
void CalculateLocalGabarit (const MbMatrix3D &into, MbCube &cube) const override
 To compute bounding box in a local coordinate system. More...
 
virtual bool IsDegenerate (double eps=METRIC_PRECISION) const
 Check whether the curve is degenerated.calculate.
 
MbPropertyCreateProperty (MbePrompt name) const override
 Create your own property with the name.
 
void CalculateMesh (const MbStepData &stepData, const MbFormNote &note, MbMesh &mesh) const override
 Build polygonal copy mesh. More...
 
virtual void CalculatePolygon (const MbStepData &stepData, MbPolygon3D &polygon) const
 Calculate an array of points for drawing. More...
 
virtual void GetCentre (MbCartPoint3D &) const
 Give the curve center.
 
virtual void GetWeightCentre (MbCartPoint3D &) const
 Give the gravity center of a curve.
 
virtual MbeNewtonResult PointProjectionNewton (const MbCartPoint3D &p, size_t iterLimit, double &t, bool ext) const
 Find the point projection to the curve. More...
 
virtual MbeNewtonResult IsoclinalNewton (const MbVector3D &dir, size_t iterLimit, double &t) const
 Find isoclines of a curve. More...
 
virtual void GetIsoclinal (const MbVector3D &nor, SArray< double > &tIso) const
 Find all isoclines of a curve. More...
 
virtual double DistanceToCurve (const MbCurve3D &curve2, double &t1, double &t2) const
 Calculate the nearest distance to a curve.
 
virtual double DistanceToPlace (const MbPlacement3D &place, double &t0, double &angle) const
 The nearest point of a curve by the placement.
 
virtual double GetRadius (double accuracy=METRIC_REGION) const
 Get the physical radius of the curve or zero if it impossible. More...
 
virtual bool GetCircleAxis (MbAxis3D &axis) const
 Get an axis of a circle which is geometrically coincident to the given curve. More...
 
virtual MbCurveGetMapPsp (const MbMatrix3D &into, double zNear, MbRect1D *pRegion=nullptr) const
 Construct a planar projection of a piece of a space curve. More...
 
virtual MbCurveGetProjection (const MbPlacement3D &place, VERSION version) const
 Construct a planar projection of a space curve to a plane. More...
 
virtual size_t GetCount () const
 Define the number of splittings for one passage in operations.
 
void GetPointsByEvenParamDelta (size_t n, std::vector< MbCartPoint3D > &pnts) const
 Get n points of a curve with equal intervals by parameter.
 
void GetPointsByEvenParamDelta (size_t n, SArray< MbCartPoint3D > &pnts) const
 
virtual void GetPointsByEvenLengthDelta (size_t n, std::vector< MbCartPoint3D > &pnts) const
 Get n points of a curve with equal intervals by arc length.
 
void GetPointsByEvenLengthDelta (size_t n, SArray< MbCartPoint3D > &pnts) const
 
void GetBasisPoints (MbControlData3D &) const override
 Get control points of object.
 
void SetBasisPoints (const MbControlData3D &) override
 Change the object by control points.
 
bool IsSpaceNear (const MbCurve3D &curve, double eps, bool ext, double devSag=5.0 *Math::deviateSag) const
 Check whether the two curves are metrically close. More...
 
bool IsPointOn (const MbCartPoint3D &, double eps=METRIC_PRECISION) const
 Check whether a point is on a curve or not.
 
double GetTMid () const
 Return the middle of parametric range of a curve.
 
double GetTRange () const
 Return the parametric length of a curve.
 
MbCartPoint3D PointOn (double &t) const
 Calculate point on the curve.
 
MbVector3D FirstDer (double &t) const
 Calculate first derivative.
 
MbVector3D SecondDer (double &t) const
 Calculate second derivative.
 
MbVector3D ThirdDer (double &t) const
 Calculate third derivative.
 
MbCartPoint3D GetLimitPoint (ptrdiff_t number) const
 Calculate the boundary point. More...
 
void GetLimitPoint (ptrdiff_t number, MbCartPoint3D &pnt) const
 Calculate the boundary point. More...
 
MbVector3D GetLimitTangent (ptrdiff_t number) const
 Calculate a tangent vector to the boundary point. More...
 
void GetLimitTangent (ptrdiff_t number, MbVector3D &v) const
 Calculate a tangent vector to the boundary point. More...
 
bool AreLimitPointsEqual () const
 Are boundary points equal? More...
 
bool SetInParamRegion (double &t) const
 Move to the parametric region.
 
bool IsParamOn (double t, double eps) const
 Check whether a parameter is in the range of the curve.
 
bool IsInverseSame (const MbCurve3D &curve, double accuracy=LENGTH_EPSILON) const
 Whether an inversed curve is the same.
 
virtual bool IsReparamSame (const MbCurve3D &curve, double &factor) const
 Define whether a reparameterized curve is the same. More...
 
virtual double GetParamToUnit () const
 Get increment of parameter, corresponding to the unit length in space.
 
virtual double GetParamToUnit (double t) const
 Get increment of parameter, corresponding to the unit length in space.
 
double GetTEpsilon () const
 Get the minimum distinguishable value of parameter.
 
double GetTEpsilon (double t) const
 Get the minimum distinguishable value of parameter.
 
double GetTRegion () const
 Get the minimum distinguishable value of parameter.
 
double GetTRegion (double t) const
 Get the minimum distinguishable value of parameter.
 
double GetTRegion (double t, const MbDimAccuracy &xyzEps) const
 Get the minimum distinguishable value of parameter with the given three-dimensional accuracy according to parameter.
 
virtual const MbCurve3DGetSubstrate () const
 Get a substrate or itself.
 
virtual MbCurve3DSetSubstrate ()
 Get a substrate or itself.
 
virtual int SubstrateCurveDirection () const
 Direction of a substrate relative to a curve or vice versa.
 
virtual void SubstrateToCurve (double &) const
 Transform a substrate parameter to the curve parameter.
 
virtual void CurveToSubstrate (double &) const
 Transform a curve parameter to the substrate parameter.
 
bool GetPlaneCurve (SPtr< MbCurve > &curve2d, MbPlacement3D &place, bool saveParams, PlanarCheckParams params=PlanarCheckParams()) const
 Get planar curve and placement if the space curve is planar. More...
 
bool GetPlaneCurve (SPtr< const MbCurve > &curve2d, MbPlacement3D &place, bool saveParams, PlanarCheckParams params=PlanarCheckParams()) const
 Get planar curve and placement if the space curve is planar. More...
 
bool GetSurfaceCurve (SPtr< MbCurve > &curve2d, SPtr< MbSurface > &surface, VERSION version=Math::DefaultMathVersion()) const
 Get surface curve if the space curve is surface (after the using call DeleteItem for arguments)
 
bool GetSurfaceCurve (SPtr< const MbCurve > &curve2d, SPtr< const MbSurface > &surface, VERSION version=Math::DefaultMathVersion()) const
 Get surface curve if the space curve is surface (after the using call DeleteItem for arguments)
 
virtual bool IsShift (const MbSpaceItem &, MbVector3D &, bool &isSame, double accuracy=LENGTH_EPSILON) const
 Is the object is a shift?
 
virtual bool IsSimilarToCurve (const MbCurve3D &other, double precision=METRIC_PRECISION) const
 Whether the curves to union (joining) are similar.
 
void CalculateGrid (double radius, const MbStepData &stepData, MbMesh &mesh) const
 Approximation of a curve by the flat tube with the given radius.
 
SimpleName GetCurveName () const
 A curve name.
 
void SetCurveName (SimpleName newName)
 Set a curve name.
 
- Public Member Functions inherited from MbSpaceItem
virtual ~MbSpaceItem ()
 Destructor.
 
void PrepareWrite () const
 Register object. More...
 
MbeRefType RefType () const override
 Get a registration type (for copying, duplication).
 
bool IsFamilyRegistrable () const override
 Whether the object belongs to a registrable family.
 
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
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 nullptr if no parallelism. For use in ScopedLock.
 

Protected Member Functions

 MbContourOnSurface (const MbContourOnSurface &init, MbRegDuplicate *)
 Copy-constructor.
 
 MbContourOnSurface (const MbContourOnSurface *)
 Constructor to copy contour with the same surface for CurvesDuplicate().
 
 MbContourOnSurface (const MbSurface &surf)
 Constructor by a surface.
 
void CalculateIncludePoints ()
 Calculate parametric bounding box, reset temporary data, check for contour closedness.
 
- Protected Member Functions inherited from MbCurve3D
 MbCurve3D ()
 Default constructor.
 
 MbCurve3D (const MbCurve3D &other)
 Copy-constructor.
 
- Protected Member Functions inherited from MbSpaceItem
 MbSpaceItem ()
 Default constructor.
 
- Protected Member Functions inherited from MbRefItem
 MbRefItem ()
 Constructor without parameters.
 

Protected Attributes

MbSurfacesurface
 The pointer to the base surface (this value is never nullptr).
 
MbContourcontour
 The pointer to 2D-contour in the plane of the surface parameters (this value is never nullptr).
 
atomic_double area
 The area of 2D-contour with sign.
 
MbCube cube
 Bounding box.
 
atomic_double metricLength
 The metric length.
 
MbSegmentsSearchTree * searchTree
 A tree of bounding boxes for segment search acceleration.
 
- Protected Attributes inherited from MbCurve3D
SimpleName name
 A curve name. The object data is temporary and used internally.
 

Detailed Description

Contour on surface.

The contour on surface is a three-dimensional composite curve, obtained by the motion along the two-dimensional contour MbContour, located in the parameters space of the surface MbSurface.
The contour on a surface is used: to describe the domain of the surface parameters.

Member Function Documentation

◆ Duplicate()

MbSpaceItem& MbContourOnSurface::Duplicate ( MbRegDuplicate iReg = nullptr) const
overridevirtual

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.

◆ IsSame()

bool MbContourOnSurface::IsSame ( const MbSpaceItem other,
double  accuracy = LENGTH_EPSILON 
) const
overridevirtual

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 MbSpaceItem.

◆ SetEqual()

bool MbContourOnSurface::SetEqual ( const MbSpaceItem item)
overridevirtual

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 MbSpaceItem.

◆ IsSimilar()

bool MbContourOnSurface::IsSimilar ( const MbSpaceItem item) const
overridevirtual

Determine whether an object is similar.

Such are considered the same objects whose data are similar.

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

Reimplemented from MbSpaceItem.

◆ Transform()

void MbContourOnSurface::Transform ( const MbMatrix3D matr,
MbRegTransform iReg = nullptr 
)
overridevirtual

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.

◆ Move()

void MbContourOnSurface::Move ( const MbVector3D to,
MbRegTransform iReg = nullptr 
)
overridevirtual

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.

◆ Rotate()

void MbContourOnSurface::Rotate ( const MbAxis3D axis,
double  angle,
MbRegTransform iReg = nullptr 
)
overridevirtual

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.

◆ DistanceToPoint()

double MbContourOnSurface::DistanceToPoint ( const MbCartPoint3D point) const
overridevirtual

Determine the distance to the point.

Determine the distance to the point.

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

Implements MbSpaceItem.

◆ AddYourGabaritTo()

void MbContourOnSurface::AddYourGabaritTo ( MbCube cube) const
overridevirtual

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.

◆ CalculateMesh()

void MbContourOnSurface::CalculateMesh ( const MbStepData stepData,
const MbFormNote note,
MbMesh mesh 
) const
overridevirtual

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.

◆ PrepareIntegralData()

void MbContourOnSurface::PrepareIntegralData ( const bool  forced) const
overridevirtual

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.

Reimplemented from MbCurve3D.

◆ GetProperties()

void MbContourOnSurface::GetProperties ( MbProperties properties)
overridevirtual

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 MbSpaceItem.

◆ SetProperties()

void MbContourOnSurface::SetProperties ( const MbProperties properties)
overridevirtual

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 MbSpaceItem.

◆ IsClosed()

bool MbContourOnSurface::IsClosed ( ) const
overridevirtual

Define whether the curve is periodic.

Define whether the curve is periodic.
A periodic curve is closed. A curve is considered as periodic if:

  • start point is coincident with end point;
  • derivatives in start point and end point coincide;
    if there are breaks at curve (in cases when a curve is contour or polyline), then derivatives may not coincide; in Bezier curve derivatives should coincide by direction, but they may differ by absolute value.
    Curves:
  • MbLine3D,
  • MbLineSegment3D,
  • MbSpiral and inherited classes,
  • MbBridgeCurve3D,
  • MbContour3D (if it contains only a single segment of one of the listed types)
    are not considered periodic when the start and end points coincide. The IsClosed() method always returns false for them.
    Returns
    True if a curve is closed.

Implements MbCurve3D.

◆ PointOn()

void MbContourOnSurface::PointOn ( double &  t,
MbCartPoint3D p 
) const
overridevirtual

Calculate a point on the curve.

Correct parameter when getting out of domain bounds and calculate a point on the curve.

Parameters
[in]t- Curve parameter.
[out]p- A point on the curve.

Implements MbCurve3D.

◆ _PointOn()

void MbContourOnSurface::_PointOn ( double  t,
MbCartPoint3D p 
) const
overridevirtual

Calculate point at curve and its extension.

Calculate a point on the curve including the outside area determination parameter.

Parameters
[in]t- Curve parameter.
[out]p- A point on the curve.

Reimplemented from MbCurve3D.

◆ Explore()

void MbContourOnSurface::Explore ( double &  t,
bool  ext,
MbCartPoint3D pnt,
MbVector3D fir,
MbVector3D sec,
MbVector3D thir 
) const
overridevirtual

Calculate point and derivatives of object for given parameter.

Values of point and derivatives are calculated on parameter area and on extended curve.

Parameters
[in]t- Parameter.
[in]ext- On parameters area (false), on extended curve (true).
[out]pnt- Point.
[out]fir- Derivative with respect to t.
[out]sec- Second derivative with respect to t, if not nullptr.
[out]thir- Third derivative with respect to t, if not nullptr.

Reimplemented from MbCurve3D.

◆ NurbsCurve()

MbNurbs3D* MbContourOnSurface::NurbsCurve ( const MbCurveIntoNurbsInfo nInfo) const
overridevirtual

Construct a NURBS copy of a curve.

Constructs a NURBS curve which approximates a given curve inside the range [t1, t2]. with a given direction. If it is possible, constructs the accurate curve, perhaps with multiple knots. The number of knots for NURBS is defined depending on the curve.

Parameters
[in]t1- Parameter corresponding to start of approximated part of a curve.
[in]t2- Parameter corresponding to end of approximated part of a curve.
[in]sense- Does the direction of parameter increasing along the NURBS curve coincide with direction of the initial curve. 'sense' > 0 - direction coincide.
[in]nInfo- Parameters of conversion of a curve to NURBS.
Returns
The constructed NURBS curve or nullptr in a case of failure.

Reimplemented from MbCurve3D.

◆ Trimmed() [1/3]

MbCurve3D* MbContourOnSurface::Trimmed ( double  t1,
double  t2,
int  sense,
const MbDimAccuracy xyzEps,
bool  saveParamLenAndLaw 
) const
overridevirtual

Construct a trimmed curve with the given two-dimensional accuracy.

Constructs a trimmed curve, a start point of which corresponds to a point with parameter t1 and an end point corresponds to a point with parameter t2. Direction of the constructed curve relative to the initial curve may be changed by the parameter 'sense'. If the curve is closed, then there may be obtained a trimmed curve, passing through the start of a curve.
In a case of closed or periodic curve three parameters 'sense', t1 and t2 clearly define the result. In a case of unclosed curve the parameter 'sense' and parameter of trimming should correspond each other:
1) if sense == 1, then t1 < t2,
2) if sense == -1, then t1 > t2,
If there is a discrepancy between 'sense' and parameters of trimming, then 'sense' parameter has higher priority. If parameters t1 and t2 are equal and the curve is closed, then in result a closed curve should be obtained.

Parameters
[in]t1- Parameter corresponding to start of a trimmed curve.
[in]t2- Parameter corresponding to end of a trimmed curve.
[in]sense- Direction of a trimmed curve in relation to an initial curve. sense = 1 - direction does not change. sense = -1 - direction changes to the opposite value.
[in]xyzEps- Three-dimensional accuracy.
[in]saveParLenAndLaw- Save parametric length and law.
Returns
A constructed trimmed curve.
Warning
Under development.

Reimplemented from MbCurve3D.

◆ Step()

double MbContourOnSurface::Step ( double  t,
double  sag 
) const
overridevirtual

Calculate parameter step.

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

Parameters
[in]t- A parameter defining the point on a curve, at which a step should be calculated.
[in]sag- Maximum feasible sag value.
Returns
A sag value by parameter at given point.

Reimplemented from MbCurve3D.

◆ DeviationStep()

double MbContourOnSurface::DeviationStep ( double  t,
double  ang 
) const
overridevirtual

Calculate parameter step.

Calculate parameter step for the curve's approximation by the deviation angle of the tangent vector. A step of curve's approximation is chosen in such way, that angular deviation of the tangent curve at the next point does not exceed the given value ang.

Parameters
[in]t- A parameter defining the point on a curve, at which a step should be calculated.
[in]ang- The maximum feasible deviation angle of tangent.
Returns
A sag value by parameter at given point.

Reimplemented from MbCurve3D.

◆ GetLengthEvaluation()

double MbContourOnSurface::GetLengthEvaluation ( ) const
overridevirtual

Calculate the metric length of a curve.

The length of a curve is inaccurately calculated, by approximation of polyline. If the more accurate curve's length is required, then use the function CalculateMetricLength().

Reimplemented from MbCurve3D.

◆ ChangeCarrierBorne()

bool MbContourOnSurface::ChangeCarrierBorne ( const MbSpaceItem item,
MbSpaceItem init,
const MbMatrix matr 
)
overridevirtual

Change the carrier.

For surface curves. Replaces the current carrier 'item' by a new one, if this is possible. Transforms a carried element by the given matrix.

Parameters
[in]item- An initial carrier.
[in]init- A new carrier.
[in]matr- A matrix for transformation of a carried element.
Returns
True - if the operation is performed successfully, otherwise false.

Reimplemented from MbCurve3D.

◆ GetPlaneCurve()

bool MbContourOnSurface::GetPlaneCurve ( MbCurve *&  curve2d,
MbPlacement3D place,
bool  saveParams,
PlanarCheckParams  params = PlanarCheckParams() 
) const
overridevirtual

Get planar curve and placement if the space curve is planar.

Get planar curve and placement if the space curve is planar (after the using call DeleteItem for two-dimensional curves).

Parameters
[out]curve2d- The resulting flat curve.
[out]place- The coordinate system of the resulting 2D curve.
[in]saveParams- The parameter specifying the preservation of the correspondence of the parameterization for the two-dimensional curve. If true - parameterization of curve2d curve must match the parameterization of the original curve this. If false - curve parameterizations may not correspond. The curve2d is more likely to be detected than with the true flag.
[in]params- Validation parameters.
Returns
true if a flat curve was created.

Reimplemented from MbCurve3D.

◆ NearPointProjection()

bool MbContourOnSurface::NearPointProjection ( const MbCartPoint3D pnt,
double &  t,
bool  ext,
MbRect1D tRange = nullptr 
) const
overridevirtual

Find the point projection to the curve.

Find the nearest projection of a point on a curve (in the range of the curve) or on its continuation by the given initial approximation. If the parameter ext = true, then also search for a projection on the continuation of the curve. If the range of change of the 'tRange' parameter is specified, then find the projection in the specified range. A range of parameter may not belong to the domain of a curve. The Newton method is used.

Parameters
[in]pnt- A given point.
[in,out]t- Input - initial approximation, output - parameter of a curve corresponding to the nearest projection.
[in]ext- A flag defining whether to seek projection on the extension of the curve.
[in]tRange- A range of parameter changing in which the solution should be found.
Returns
Returns true if the found parameter is in a valid range (according to the given ext, tRange parameters), or false - otherwise.

Reimplemented from MbCurve3D.

◆ GetMap()

MbCurve* MbContourOnSurface::GetMap ( const MbMatrix3D into,
MbRect1D pRegion = nullptr,
VERSION  version = Math::DefaultMathVersion(),
bool *  coincParams = nullptr 
) const
overridevirtual

Construct a planar projection of a piece of a space curve.

Construct a planar projection of a piece of a space curve.

Parameters
[in]into- The transformation matrix from the global coordinate system into a plane of view.
[in]pRegion- A mapped piece of a curve (paramRegion.x = t1, paramRegion.y = t2), by default - the whole curve..
[in]version- Version, last by default.
[in,out]coincParams- A flag of coincidence between parameterization of initial curve and its projection

if coincParams != nullptr then the function tries to create a projection with coincident parameterization
if *coincParams = true then parameterization of projection coincides with parameterization of initial curve.
Returns
Two-dimensional projection of a curve

Reimplemented from MbCurve3D.

◆ GetAnalyticalFunctionsBounds()

void MbContourOnSurface::GetAnalyticalFunctionsBounds ( std::vector< double > &  params) const
overridevirtual

Get the boundaries of the curve sections that are described by one analytical function.

Get the boundaries of the curve sections that are described by one analytical function.
The function was introduced to optimize the implementation of the function MbCurve3D::GetCurvatureSpecialPoints, so as not to calculate the break points.

Parameters
[out]params- Curve parameters in which the analytical function changes.

Reimplemented from MbCurve3D.

◆ GetCurvatureSpecialPoints()

void MbContourOnSurface::GetCurvatureSpecialPoints ( std::vector< c3d::DoublePair > &  points) const
overridevirtual

Find all the special points of the curvature function of the curve.

Find all extrema, discontinuity points and inflection points of the curvature function of the curve.

Parameters
[out]points- The array of the found special points of the curvature function.
The first field of each element contains the parameter of the found point.
The second field of each element contains the curvature values at the found points. These values can be of the following types: 1) = 0.0 - inflection point; \ n 2) < 0.0 - curvature value at the minimum point; \ n 3) > 0.0 - the curvature value at the maximum point; \ n Two points are inserted at the curvature discontinuity, to the left and to the right of the discontinuity.
Point with greater curvature is inserted with a plus sign, a point with a lower curvature is inserted with a minus sign.

Reimplemented from MbCurve3D.

◆ IsContinuousDerivative()

bool MbContourOnSurface::IsContinuousDerivative ( bool &  contLength,
bool &  contDirect,
c3d::DoubleVector params = nullptr,
double  epsilon = EPSILON 
) const
overridevirtual

Have the first derivative of the curve the continuous length and direction?

Are absent any discontinuities at length or at direction of first derivative of the curve?

Parameters
[out]contLength- The length is continuous (true/false).
[out]contDirect- The direction of the first derivative is continuous (true/false).
[in]epsilon- The accuracy of the calculation.

Reimplemented from MbCurve3D.

◆ SetContinuousDerivativeLength()

bool MbContourOnSurface::SetContinuousDerivativeLength ( VERSION  version,
double  epsilon = EPSILON 
)
overridevirtual

Eliminate the discontinuities of the first derivative at length.

Eliminate the discontinuities of the first derivatives of the length.

Parameters
[in]epsilon- The accuracy of the calculation.
[in]version- Math version.

Reimplemented from MbCurve3D.

◆ Extend()

MbResultType MbContourOnSurface::Extend ( const MbCurveExtensionParameters3D parameters,
c3d::SpaceCurveSPtr resCurve 
) const
overridevirtual

Extend the curve.

Extend the curve according to the given parameters.

Parameters
[in]parameters- Parameters of extension.
[out]resCurve- The extended curve or nullptr if extension is impossible.
Returns
Returns error status or rt_Success if all is OK.

Reimplemented from MbCurve3D.

◆ CreateContour()

MbContour3D* MbContourOnSurface::CreateContour ( ) const

Create a spatial copy of a contour on a surface.

Create a spatial copy of a contour on a surface. Created contour is using a general copy of the surface and copies of the contour segments.

Returns
Returns a spatial copy of a contour on a surface.

◆ FindSegment()

ptrdiff_t MbContourOnSurface::FindSegment ( double &  t,
double &  tSeg 
) const

Find a contour segment.

Find a contour segment by parameter on contour.

Parameters
[in,out]t- Contour parameter.
[out]tSeg- Contour segment parameter.
Returns
Returns the segment number in case of successful execution or -1.

◆ SegmentIntersection()

size_t MbContourOnSurface::SegmentIntersection ( const MbCurve pCurve,
SArray< double > &  tcontour,
SArray< double > &  tcurv,
double  epsilon = Math::metricEpsilon 
) const

Determine points of intersection with two-dimensional uv-curve.

Determine intersection points of a planar curve and the contour.

Parameters
[in]pCurve- A curve.
[out]tcontour- An array of parameters on the contour.
[out]tcurv- An array of parameters on the curve.
Returns
The number of points.

◆ SurfaceCurveIntersection()

size_t MbContourOnSurface::SurfaceCurveIntersection ( const MbSurfaceCurve curv,
SArray< double > &  tcontour,
SArray< double > &  tcurv,
double  epsilon = Math::metricEpsilon 
) const

Determine points of intersection with a spatial curve.

Determine intersection points of curve on the surface and contour.

Parameters
[in]curv- A curve.
[out]tcontour- An array of parameters on the contour.
[out]tcurv- An array of parameters on the curve.
Returns
The number of points.

◆ ContourOnSurfaceIntersection()

size_t MbContourOnSurface::ContourOnSurfaceIntersection ( const MbContourOnSurface cntr,
SArray< double > &  tcontour,
SArray< double > &  tcntr,
double  epsilon = Math::metricEpsilon 
) const

Determine intersection points with the contour on the surface.

Determine intersection points of a curve with the contour on the surface.

Parameters
[in]cntr- A curve.
[out]tcontour- An array of parameters on the contour.
[out]tcntr- An array of parameters on the curve.
Returns
The number of points.

◆ CreateCubeTree()

bool MbContourOnSurface::CreateCubeTree ( const size_t &  indSegmMin,
const size_t &  indSegmMax 
) const

Create and initialize the segments bounding box tree.

Create and initialize the segments bounding box tree by request. Initiate nearest segment to given point search by bounding boxes tree in case 3D contour, that is appropriate for multiple segment search.

Parameters
[in]indSegmMin- Minimum segment index in set for bounding box tree creation.
[in]indSegmMax- Maximum segment index in set for bounding box tree creation.
Returns
The result of bounding boxes tree creation.

◆ Trimmed() [2/3]

virtual MbCurve3D* MbCurve3D::Trimmed

Construct a trimmed curve.

Constructs a trimmed curve, a start point of which corresponds to a point with parameter t1 and an end point corresponds to a point with parameter t2. Direction of the constructed curve relative to the initial curve may be changed by the parameter 'sense'. If the curve is closed, then there may be obtained a trimmed curve, passing through the start of a curve.
In a case of closed or periodic curve three parameters 'sense', t1 and t2 clearly define the result. In a case of unclosed curve the parameter 'sense' and parameter of trimming should correspond each other:
1) if sense == 1, then t1 < t2,
2) if sense == -1, then t1 > t2,
If there is a discrepancy between 'sense' and parameters of trimming, then 'sense' parameter has higher priority. If parameters t1 and t2 are equal and the curve is closed, then in result a closed curve should be obtained.

Parameters
[in]t1- Parameter corresponding to start of a trimmed curve.
[in]t2- Parameter corresponding to end of a trimmed curve.
[in]sense- Direction of a trimmed curve in relation to an initial curve. sense = 1 - direction does not change. sense = -1 - direction changes to the opposite value.
[in]saveParLenAndLaw- Save parametric length and law.
Returns
A constructed trimmed curve.

◆ Trimmed() [3/3]

virtual MbCurve3D* MbCurve3D::Trimmed

Construct a trimmed curve with the given two-dimensional accuracy.

Constructs a trimmed curve, a start point of which corresponds to a point with parameter t1 and an end point corresponds to a point with parameter t2. Direction of the constructed curve relative to the initial curve may be changed by the parameter 'sense'. If the curve is closed, then there may be obtained a trimmed curve, passing through the start of a curve.
In a case of closed or periodic curve three parameters 'sense', t1 and t2 clearly define the result. In a case of unclosed curve the parameter 'sense' and parameter of trimming should correspond each other:
1) if sense == 1, then t1 < t2,
2) if sense == -1, then t1 > t2,
If there is a discrepancy between 'sense' and parameters of trimming, then 'sense' parameter has higher priority. If parameters t1 and t2 are equal and the curve is closed, then in result a closed curve should be obtained.

Parameters
[in]t1- Parameter corresponding to start of a trimmed curve.
[in]t2- Parameter corresponding to end of a trimmed curve.
[in]sense- Direction of a trimmed curve in relation to an initial curve. sense = 1 - direction does not change. sense = -1 - direction changes to the opposite value.
[in]xyzEps- Three-dimensional accuracy.
[in]saveParLenAndLaw- Save parametric length and law.
Returns
A constructed trimmed curve.
Warning
Under development.

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