C3D Toolkit
Kernel - 117944, Vision - 2.7.3.11
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Curve on surface. More...
#include <cur_surface_curve.h>
Classes | |
class | MbSurfaceCurveAuxiliaryData |
Auxiliary data. More... | |
Public Member Functions | |
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. | |
virtual bool | GetCurvePoint (double &t, MbCartPoint &cPoint) const |
Get current point on a curve by a parameter. | |
Common functions of a geometric object. | |
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. | |
Common functions of curve. | |
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 closed. 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, bool saveParamLenAndLaw=false) const override |
Construct a trimmed curve. 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 () const override |
Get the physical radius of the curve or null 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. | |
virtual MbeCurveBuildType | GetBuildType () const |
Get type of curve. | |
virtual bool | InsertPoint (double &t) |
Insert point by parameter. More... | |
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 > ¶ms) 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 ¶meters, c3d::SpaceCurveSPtr &resCurve) const override |
Extend the curve. | |
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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. | |
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... | |
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... | |
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 ¬e, 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... | |
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. | |
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. | |
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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 |
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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. | |
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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. | |
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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 | |
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... | |
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MbCurve3D () | |
Default constructor. | |
MbCurve3D (const MbCurve3D &other) | |
Copy-constructor. | |
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MbSpaceItem () | |
Default constructor. | |
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MbRefItem () | |
Constructor without parameters. | |
Protected Attributes | |
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... | |
double | metricLength |
Metric length of a curve. | |
double | lengthEvaluation |
Estimated length of a curve. | |
double | curveRadius |
The radius of the curve, if the curve is a spatial arc. | |
ThreeStates | isStraight |
A straightness flag. | |
SPtr< MbCurveTessellation > | tessellation |
Curve tessellation. | |
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SimpleName | name |
A curve name. The object data is temporary and used internally. | |
Friends | |
class | MbSurfaceIntersectionCurve |
Curve on surface.
Curve on surface is constructed by introduction of dependence of u and v surface parameters from some parameter t common for them: u=u(t), v=v(t).
u and v surface parameters are coordinates of two-dimensional point in space of surface parameters. Curve on surface is described by 'surface' surface and two-dimensional curve 'curve' in space of parameters. Any surface except MbCurveBoundedSurface can be surface 'surface'.
two-dimensional point w=[u v] of region of surface parameters is calculated for a given parameter t of curve 'curve', further, a point of curve on surface is calculated for u and v parameters of 'surface' surface. u and v surface parameters can exceed the bounds of its domain.
Curve on surface can be periodic, if two-dimensional curve 'curve' is periodic or if curve 'curve' has coinciding derivatives at the end points and the curve end points is shifted by corresponding period of 'surface' surface which is periodic by first or second parameter.
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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.
[in] | iReg | - Registrator. |
Implements MbSpaceItem.
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overridevirtual |
Determine whether an object is equal.
Still considered objects of the same type, all data is the same (equal).
[in] | item | - The object to compare. |
[in] | accuracy | - The accuracy to compare. |
Implements MbSpaceItem.
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overridevirtual |
Make objects equal if they are similar.
You can still make only a similar objects.
[in] | item | - The object to initialize. |
Implements MbSpaceItem.
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overridevirtual |
Determine whether an object is similar.
Such are considered the same objects whose data are similar.
[in] | item | - The object to compare. |
Reimplemented from MbSpaceItem.
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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.
[in] | matr | - Transformation matrix. |
[in] | iReg | - Registrator. |
Implements MbSpaceItem.
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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.
[in] | to | - Shift vector. |
[in] | iReg | - Registrator. |
Implements MbSpaceItem.
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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.
[in] | axis | - The axis of rotation. |
[in] | angle | - Rotation. |
[in] | iReg | - Registrator. |
Implements MbSpaceItem.
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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.
[in,out] | cube | - The bounding box to expand. |
Implements MbSpaceItem.
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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.
[in] | forced | - Forced recalculation. |
Reimplemented from MbCurve3D.
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overridevirtual |
Outstanding properties of the object.
Issue internal data (properties) of the object for viewing and modification.
[in] | properties | - Container for the internal data of the object. |
Implements MbSpaceItem.
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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.
[in] | properties | - Container for the internal data of the object. |
Implements MbSpaceItem.
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overridevirtual |
Define whether the curve is closed.
Define whether the curve is closed.
A curve is considered as closed if it is cyclic:
Implements MbCurve3D.
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overridevirtual |
Calculate a point on the curve.
Correct parameter when getting out of domain bounds and calculate a point on the curve.
[in] | t | - Curve parameter. |
[out] | p | - A point on the curve. |
Implements MbCurve3D.
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overridevirtual |
Calculate point at curve and its extension.
Calculate a point on the curve including the outside area determination parameter.
[in] | t | - Curve parameter. |
[out] | p | - A point on the curve. |
Reimplemented from MbCurve3D.
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overridevirtual |
Calculate point and derivatives of object for given parameter.
Values of point and derivatives are calculated on parameter area and on extended curve.
[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.
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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.
[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. |
Reimplemented from MbCurve3D.
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overridevirtual |
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.
[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. |
Reimplemented from MbCurve3D.
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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.
[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. |
Reimplemented from MbCurve3D.
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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.
[in] | t | - A parameter defining the point on a curve, at which a step should be calculated. |
[in] | sag | - Maximum feasible sag value. |
Reimplemented from MbCurve3D.
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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.
[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. |
Reimplemented from MbCurve3D.
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overridevirtual |
Calculate parameter step.
Calculate the parameter step for approximation of a curve by the given metric length of a step along a curve.
[in] | t | - A parameter defining the point on a curve, at which a step should be calculated. |
[in] | len | - Maximum metric length of a step along a curve. |
Reimplemented from MbCurve3D.
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overridevirtual |
Construct a planar projection of a piece of a space curve.
Construct a planar projection of a piece of a space curve.
[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. |
Reimplemented from MbCurve3D.
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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.
[in] | item | - An initial carrier. |
[in] | init | - A new carrier. |
[in] | matr | - A matrix for transformation of a carried element. |
Reimplemented from MbCurve3D.
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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.
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overridevirtual |
Get the physical radius of the curve or null if it impossible.
In general case 0 is returned. A value different from 0 may be obtained only in a case, when the curve is an arc of a circle or it is equivalent to an arc of a circle.
Reimplemented from MbCurve3D.
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overridevirtual |
Get an axis of a circle which is geometrically coincident to the given curve.
Get an axis of a circle which is geometrically coincident to the given curve.
[out] | axis | - An axis with the origin at circle's center and direction along the normal of circle's plane. |
Reimplemented from MbCurve3D.
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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).
[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. |
Reimplemented from MbCurve3D.
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virtual |
Insert point by parameter.
Insert point by desirable parameter and get the actual parameter.
[in] | t | - Parameter on the curve where it is necessary to insert a point. |
Reimplemented in MbSilhouetteCurve.
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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?
[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.
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protected |
Check and set the curve closedness.
Check and set attribute of curve closedness.
To be called after independent changing of two-dimensional curve.
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protected |
Delete caches.
Delete caches.
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mutableprotected |
Auxiliary data.
Auxiliary data are used for fast calculations.
Bounding box.