Isocline curve or silhouette curve of surface. More...

#include <cur_silhouette_curve.h>

Inheritance diagram for MbSilhouetteCurve:

Collaboration diagram for MbSilhouetteCurve:

Public Member Functions
	MbSilhouetteCurve (const MbSurface &surf, const MbCurve &crv, MbeCurveBuildType _species, const MbMatrix3D &m, bool p)
	Constructor by surface, two-dimensional curve, type of curve, matrix and flag of perspective.

	MbSilhouetteCurve (const MbSurface &surf, const MbCurve &crv, MbeCurveBuildType _species, const MbVector3D &e, bool p, const MbAxis3D *axis=nullptr)
	Constructor by surface, two-dimensional curve, type of curve, vector of view and flag of perspective.

MbeSpaceType	IsA () const override
	Get the type of the object.

MbSpaceItem &	Duplicate (MbRegDuplicate *=nullptr) const override
	Create a copy of the object. More...

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...

void	Refresh () override
	Translate all the time (mutable) data objects in an inconsistent (initial) state.

void	GetProperties (MbProperties &) override
	Outstanding properties of the object. More...

void	SetProperties (const MbProperties &) override
	Change the properties of an object. 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	FastApproxExplore (double &t, MbCartPoint3D &pnt, MbVector3D &fir, MbVector3D *sec) const override
	Calculate point and derivatives on the curve. More...

double	DeviationStep (double t, double angle) const override
	Calculate parameter step. More...

void	CalculateGabarit (MbCube &) const override
	Calculate bounding box of a curve.

bool	IsPlanar (double accuracy=METRIC_EPSILON) const override
	Is a curve planar?

bool	GetPlacement (MbPlacement3D &place, PlanarCheckParams params=PlanarCheckParams()) const override
	Fill the placement if a curve is planar.

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)

MbCurve3D *	Trimmed (double t1, double t2, int sense, const MbDimAccuracy &xyzEps, bool saveParamLenAndLaw) const override
	Construct a trimmed curve with the given two-dimensional accuracy. More...

MbCurve *	GetMap (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...

double	GetMetricLength () const override
	Calculate the metric length of a curve.

double	GetLengthEvaluation () const override
	Calculate the metric length of a curve. More...

double	GetParamToUnit () const override
	Get increment of parameter, corresponding to the unit length in space.

double	GetParamToUnit (double t) const override
	Get increment of parameter, corresponding to the unit length in space.

void	Inverse (MbRegTransform *iReg=nullptr) override
	Change direction of a curve.

MbeCurveBuildType	GetBuildType () const override
	Get type of curve.

bool	InsertPoint (double &t) override
	Insert point by parameter. More...

bool	IsSimilarToCurve (const MbCurve3D &curve, double precision=METRIC_PRECISION) const override
	Whether the curves to union (joining) are similar.

bool	IsExactSpaceCurve () const
	Determine whether the exact spatial representation of isocline curve exists.

const MbCurve3D *	GetExactSpaceCurve () const
	Get a pointer to the curve of exact spatial representation of isocline curve. (Can be absent).

const MbCurve3D *	GetApproxCurve () const
	Construct a new spatial copy of isocline curve.

void	SetBuildType (MbeCurveBuildType spec)
	Set type of isocline curve.

void	GetPointOn (double &t, MbCartPoint3D &) const
	Calculate a point.

void	GetFirstDer (double &t, MbVector3D &) const
	Calculate the first derivative.

bool	GetCurvePoint (double &t, MbCartPoint &cPoint) const override
	Get current point on a curve by a parameter.

virtual MbCurve3D *	Trimmed (double t1, double t2, int sense, bool saveParamLenAndLaw=false) const
	Construct a trimmed curve. More...

virtual MbCurve3D *	Trimmed (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 MbSurfaceCurve
	MbSurfaceCurve (const MbSurface &, const MbCurve &, bool sameCurve, MbRegDuplicate *iReg=nullptr)
	Constructor of curve on surface.

	MbSurfaceCurve (const MbSurface &, const MbCartPoint &p0, const MbCartPoint &p1, MbePlaneType type=pt_Curve)
	Constructor of a line segment on surface.

	MbSurfaceCurve (const MbSurface &, ptrdiff_t pnt1, ptrdiff_t pnt2, MbePlaneType type=pt_Curve)
	Constructor of boundary curve of surface.

	VISITING_CLASS (MbSurfaceCurve)
	Implementation of a function initializing a visit of an object.

bool	IsSameCurvePoints (const MbSurfaceCurve *scurve, double accuracy, bool sameSense) const
	Determine whether the 'curve' curve is a duplicate of the current curve.

void	SurfaceNormal (double &t, MbVector3D &, bool ext=false) const
	Calculate surface normal.

void	SurfaceNormal (double &t, MbVector3D &n, MbVector3D &fd, MbVector3D &sd, bool ext=false) const
	Calculation of the normal, first, and second derivative of the surface normal.

double	SurfaceTransversalCurvature (double t, const MbVector3D &tau) const
	The surface curvature in the transverse direction to the vector tau.

void	SurfaceParams (double &t, double &u, double &v, bool ext=false) const
	Get surface parameters by a parameter on the curve.

void	CalculateUVLimits (MbRect &uvRect) const
	Calculate parametric bounding box of the curve.

void	GetUPairs (double v, SArray< double > &u, SArray< double > &t) const
	Calculate U-pairs from V.

void	GetVPairs (double u, SArray< double > &v, SArray< double > &t) const
	Calculate V-pairs from U.

MbCurve3D *	MakeCurve (double t1, double t2, VERSION version) const
	Construct a piece of a spatial curve copy.

MbCurve3D *	MakeCurve (VERSION version) const
	Construct a spatial curve copy.

MbCurve3D *	CreateCurve () const
	Construct the exact spatial curve copy.

MbCurve3D *	CreateUV () const
	Create a spatial curve by u, v lines.

void	Transversal (double &t, MbVector3D &f) const
	Calculate the left perpendicular to a curve at level of surface.

bool	IsCurveEqual (const MbSpaceItem &) const
	Determine whether the objects are similar.

bool	SetCurveEqual (const MbSpaceItem &)
	Make curve equal.

const MbCurve &	GetCurve () const
	Get curve.

const MbSurface &	GetSurface () const
	Get surface.

MbCurve &	SetCurve ()
	Get curve.

MbSurface &	SetSurface ()
	Get surface.

bool	ChangeCurve (const MbCurve &)
	Replace curve.

bool	ChangeSurface (const MbSurface &)
	Replace surface.

bool	ChangeSurfaceCurve (const MbSurfaceCurve &)
	Replace curve and surface.

bool	SetLimitParam (double newTMin, double newTMax)
	Set range of parameter.

MbeSpaceType	IsA () const override
	Get the type of the object.

MbeSpaceType	Type () const override
	Get the group object type.

MbSpaceItem &	Duplicate (MbRegDuplicate *=nullptr) const override
	Create a copy of the object. More...

MbSurfaceCurve &	CurvesDuplicate () const
	Copy of curve with 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...

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.

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	GetTMin () const override
	Get the minimum value of parameter.

double	GetTMax () const override
	Get the maximum value of parameter.

bool	IsClosed () const override
	Define whether the curve is periodic. More...

double	GetPeriod () const override
	Return period. If a curve is not periodic then 0.

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...

MbNurbs3D *	NurbsCurve (const MbCurveIntoNurbsInfo &) const override
	Construct a NURBS copy of a curve. More...

MbCurve3D *	Trimmed (double t1, double t2, int sense, const MbDimAccuracy &xyzEps, bool saveParamLenAndLaw) const override
	Construct a trimmed curve with the given two-dimensional accuracy. More...

bool	NearPointProjection (const MbCartPoint3D &, double &t, bool ext, MbRect1D *tRange=nullptr) const override
	Find the point projection to the curve. More...

void	Inverse (MbRegTransform *iReg=nullptr) override
	Change direction of a curve.

double	Step (double t, double sag) const override
	Calculate parameter step. More...

double	DeviationStep (double t, double angle) const override
	Calculate parameter step. More...

void	SetTesselation (const MbContourOnSurface &contour, size_t indSegment)

double	MetricStep (double t, double length) const override
	Calculate parameter step. More...

MbCurve *	GetMap (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...

MbCurve *	GetParticularMap (const MbMatrix3D &into, MbRect1D *pRgn, VERSION version) const
	Calculate planar projection of a curve in special cases.

bool	IsStraight (bool ignoreParams=false) const override
	Whether the line is straight?

void	ChangeCarrier (const MbSpaceItem &item, MbSpaceItem &init) override
	Change the carrier. For surface curves.

bool	ChangeCarrierBorne (const MbSpaceItem &, MbSpaceItem &, const MbMatrix &matr) override
	Change the carrier. More...

bool	IsPlanar (double accuracy=METRIC_EPSILON) const override
	Is a curve planar?

bool	IsSmoothConnected (double angleEps) const override
	Are joints of contour/curve smooth?

void	CalculateGabarit (MbCube &) const override
	Calculate bounding box of a curve.

double	GetMetricLength () const override
	Calculate the metric length of a curve.

double	GetLengthEvaluation () const override
	Calculate the metric length of a curve. More...

double	GetRadius (double accuracy=METRIC_REGION) const override
	Get the physical radius of the curve or zero if it impossible. More...

bool	GetCircleAxis (MbAxis3D &) const override
	Get an axis of a circle which is geometrically coincident to the given curve. More...

void	GetCentre (MbCartPoint3D &c) const override
	Give the curve center.

void	GetWeightCentre (MbCartPoint3D &wc) const override
	Give the gravity center of a curve.

double	DistanceToPlace (const MbPlacement3D &place, double &t0, double &angle) const override
	The nearest point of a curve by the placement.

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	IsShift (const MbSpaceItem &, MbVector3D &, bool &isSame, double accuracy=LENGTH_EPSILON) const override
	Determine whether the object is a translation.

bool	IsSimilarToCurve (const MbCurve3D &other, double precision=METRIC_PRECISION) const override
	Determine whether the curves for union (joining) are similar.

void	GetPointsByEvenLengthDelta (size_t n, std::vector< MbCartPoint3D > &pnts) const override
	Get n points of a curve with equal intervals by arc length.

size_t	GetCount () const override
	Define the number of splittings for one passage in operations.

void	GetAnalyticalFunctionsBounds (std::vector< double > &params) const override
	Get the boundaries of the curve sections that are described by one analytical function.

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.

virtual MbCurve3D *	Trimmed (double t1, double t2, int sense, bool saveParamLenAndLaw=false) const
	Construct a trimmed curve. More...

virtual MbCurve3D *	Trimmed (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 MbCurve3D *	operator[] (size_t) const
	An access operator.

MbeSpaceType	Type () const override
	Get the group object type.

MbeSpaceType	Family () const override
	Get family of objects.

virtual MbCurve3D &	InverseDuplicate () 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 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.

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 MbCurve3D &	GetBasisCurve () const
	Returns the base curve if exists or itself.

virtual MbCurve3D &	SetBasisCurve ()
	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.

MbNurbs3D *	NurbsCurve (const MbCurveIntoNurbsInfo *nInfo=nullptr) const
	Construct a NURBS copy of a curve. More...

virtual MbCurve3D *	NurbsCurve (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 MbCurve3D *	Trimmed (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	CalculateMetricLength () const
	Calculate the metric 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.

MbProperty &	CreateProperty (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 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 MbCurve *	GetMapPsp (const MbMatrix3D &into, double zNear, MbRect1D *pRegion=nullptr) const
	Construct a planar projection of a piece of a space curve. More...

virtual MbCurve *	GetProjection (const MbPlacement3D &place, VERSION version) const
	Construct a planar projection of a space curve to a plane. More...

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

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.

virtual void	GetCurvatureSpecialPoints (std::vector< c3d::DoublePair > &points) const
	Find all the special points of the curvature function of the curve. More...

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...

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 MbCurve3D &	GetSubstrate () const
	Get a substrate or itself.

virtual MbCurve3D &	SetSubstrate ()
	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)

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.

CommonRecursiveMutex *	GetLock () const
	Get a pointer to the mutex object. Return nullptr if no parallelism. For use in ScopedLock.

Protected Member Functions
	MbSilhouetteCurve (const MbSilhouetteCurve &, MbRegDuplicate *)
	Copy-constructor.

Protected Member Functions inherited from MbSurfaceCurve
	MbSurfaceCurve (const MbSurfaceCurve &, MbRegDuplicate *)
	Copy-constructor.

	MbSurfaceCurve (const MbSurfaceCurve *)
	Copy-constructor of a curve with the same surface for CurvesDuplicate().

MbCurve3D *	TryProjection () const
	Try to create a spatial curve from a projection curve.

void	Explorer (double &t, bool ext, MbCartPoint &cPnt, MbCartPoint3D &pnt) const
	Calculate a point on two-dimensional curve and on the curve.

void	CheckClosed ()
	Check and set the curve closedness. More...

void	CacheReset ()
	Delete caches. More...

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
MbeCurveBuildType	species
	Curve type (exact completely or in separate points only).

bool	perspective
	Perspective or parallel projection.

MbVector3D	eye
	Vector of view (for parallel projection) or radius-vector of point of view (for perspective projection).

MbAxis3D *	lathe
	The axis for rotate projection.

MbCurve3D *	approxCurve
	The spatial representation of isocline curve.

bool	approxExact
	Is exact approxCurven.

Protected Attributes inherited from MbSurfaceCurve
MbCurve *	curve
	Planar curve in uv-space (always not nullptr).

MbSurface *	surface
	Pointer to the surface (always not nullptr).

bool	closed
	An attribute of closedness of surface of curve.

MbCube	cube
	Auxiliary data. More...

atomic_double	metricLength
	Metric length of the curve.

atomic_double	lengthEvaluation
	Estimated length of the curve.

MbCartPoint3D	weightCenter
	Center of mass of the curve.

atomic_double	curveRadius
	The radius of the curve, if the curve is a spatial arc.

c3d::AtomicDoublePair	radiusAccuracy
	The precisions for the calculation of curveRadius.

atomic_enum_type< ThreeStates >	isStraight
	A straightness flag.

SPtr< MbCurveTessellation >	tessellation
	Curve tessellation.

Protected Attributes inherited from MbCurve3D
SimpleName	name
	A curve name. The object data is temporary and used internally.

Detailed Description

Isocline curve or silhouette curve of surface.

Lines separating the visible part of a surface from its invisible part are called silhouette lines. Silhouette lines can pass both by the surface boundary and inside it. In the last case silhouette lines are called isocline curves. The normal of a surface changes the direction relative to the line of sight while moving through isocline curve.
The line passing through a point of a surface and the observation point is called the line of sight. The normal of surface is orthogonal to the line of sight at points of isocline curve. Generally there can be several isocline curves of surface.
If parameter 'species' is equal to cbt_Ordinary, then the curve is exact.
If parameter 'species' is equal to cbt_Specific, then the curve is constructed by an ordered set of two-dimensional points in parametric space of surface. This set of points is represented as spline on surface. Spline coincides with the silhouette line at values of parameter corresponding to support points, it passes near the silhouette line at other values of parameter. For any parameter of a spline the points of silhouette line are calculated with enough tolerance from solution of system of equations for silhouette line of surface.
Each isocline curve is either closed or terminates at surface boundaries. For the different directions of view there is a set of isocline curves, therefore the isocline curves need to be rebuilt at surface rotation.
Isocline curve is used for construction of surface projection.
The surfaces having curvature along at least one parameter can have the isocline curve.

Member Function Documentation

◆ Duplicate()

MbSpaceItem& MbSilhouetteCurve::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 MbSilhouetteCurve::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 MbSilhouetteCurve::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 MbSilhouetteCurve::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 MbSilhouetteCurve::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 MbSilhouetteCurve::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 MbSilhouetteCurve::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.

◆ GetProperties()

void MbSilhouetteCurve::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 MbSilhouetteCurve::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.

◆ PointOn()

void MbSilhouetteCurve::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 MbSilhouetteCurve::_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 MbSilhouetteCurve::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.

◆ FastApproxExplore()

void MbSilhouetteCurve::FastApproxExplore	(	double &	t,
		MbCartPoint3D &	pnt,
		MbVector3D &	fir,
		MbVector3D *	sec
	)		const

overridevirtual

Calculate point and derivatives on the curve.

The function is overloaded in MbSurfaceIntersectionCurve and MbSilhouetteCurve for the fast approximated calculation of a point and derivatives. In other surfaces it is equivalent to the function Explore(t,false,pnt,fir,sec,nullptr).

Parameters

[in]	t	- Parameter.
[out]	pnt	- A calculated point.
[out]	fir	- Derivative with respect to t.
[out]	sec	- Second derivative with respect to t, if not nullptr.

Reimplemented from MbCurve3D.

◆ DeviationStep()

double MbSilhouetteCurve::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.

◆ GetPlaneCurve()

bool MbSilhouetteCurve::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.

◆ Trimmed() [1/3]

MbCurve3D* MbSilhouetteCurve::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.

◆ GetMap()

MbCurve* MbSilhouetteCurve::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.

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.

◆ GetLengthEvaluation()

double MbSilhouetteCurve::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.

◆ InsertPoint()

bool MbSilhouetteCurve::InsertPoint ( double & t )

overridevirtual

Insert point by parameter.

Insert point by desirable parameter and get the actual parameter.

Parameters

[in] t - Parameter on the curve where it is necessary to insert a point.

Returns: Returns true if a point was inserted.

Reimplemented from MbSurfaceCurve.

◆ 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:

cur_silhouette_curve.h

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Member Function Documentation

◆ Duplicate()

◆ IsSame()

◆ SetEqual()

◆ IsSimilar()

◆ Transform()

◆ Move()

◆ Rotate()

◆ GetProperties()

◆ SetProperties()

◆ PointOn()

◆ _PointOn()

◆ Explore()

◆ FastApproxExplore()

◆ DeviationStep()

◆ GetPlaneCurve()

◆ Trimmed() [1/3]

◆ GetMap()

◆ GetLengthEvaluation()

◆ InsertPoint()

◆ Trimmed() [2/3]

◆ Trimmed() [3/3]