The surface bounded by curves. More...

#include <surf_curve_bounded_surface.h>

Inheritance diagram for MbCurveBoundedSurface:

Collaboration diagram for MbCurveBoundedSurface:

Public Member Functions
	MbCurveBoundedSurface (const MbSurface &initSurface)
	Constructor without setting the u, v limits.

	MbCurveBoundedSurface (const MbSurface &initSurface, double uin, double uax, double vin, double vax)
	Constructor with setting the u, v limits.

	MbCurveBoundedSurface (const MbSurface &initSurface, const MbRect &rect)
	Constructor with setting the u, v limits.

	MbCurveBoundedSurface (const MbSurface &initSurface, const MbRect2D &rect)
	Constructor with setting the u, v limits.

	MbCurveBoundedSurface (MbSurface &initSurface, RPArray< MbContourOnSurface > &initCurves, bool sameContours)
	Constructor with array of contours on surface.

	MbCurveBoundedSurface (MbSurface &initSurface, RPArray< MbContour > &initCurves, bool sameContours)
	Constructor with array of contours on plane (two-dimensional contours).

	MbCurveBoundedSurface (MbSurface &initSurface, c3d::PlaneContoursSPtrVector &initCurves, bool sameContours)
	Constructor with array of contours on plane (two-dimensional contours).

	MbCurveBoundedSurface (MbSurface &initSurface, RPArray< MbContour > &initCurves, MbCube &gab)
	Constructor for surface with bounding box at face reading.

	MbCurveBoundedSurface (MbSurface &initSurface, c3d::PlaneContoursSPtrVector &initCurves, MbCube &gab)
	Constructor for surface with bounding box at face reading.

	MbCurveBoundedSurface (MbContourOnSurface &init1, MbContourOnSurface *init2=nullptr)
	Constructor by contours, uses the surface of first contour as base surface.

	MbCurveBoundedSurface (const MbCurveBoundedSurface &init, MbSurface &newBaseSurface, bool calculateGabarit=true)
	Copy-constructor for new base surface.

Common functions of a geometric object
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...

double	DistanceToPoint (const MbCartPoint3D &) const override
	Determine the distance to the point. More...

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

void	CalculateMesh (const MbStepData &stepData, const MbFormNote &note, MbMesh &mesh) const override
	Build polygonal copy mesh. 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.

Functions for surface domain description
double	GetUMin () const override
	Get the minimum value of u.

double	GetVMin () const override
	Get the minimum value of v.

double	GetUMax () const override
	Get the maximum value of u.

double	GetVMax () const override
	Get the maximum value of v.

bool	IsUClosed () const override
	Determine whether a surface is closed in u-parameter direction. More...

bool	IsVClosed () const override
	Determine whether a surface is closed in v-parameter direction. More...

bool	IsUTouch () const override
	Determine whether a surface is closed in u-parameter direction regardless of the smoothness of the closure. More...

bool	IsVTouch () const override
	Determine whether a surface is closed in v-parameter direction regardless of the smoothness of the closure. More...

bool	IsUPeriodic () const override
	Determine whether a surface is closed in u-parameter direction. More...

bool	IsVPeriodic () const override
	Determine whether a surface is closed in v-parameter direction. More...

double	GetUPeriod () const override
	Return period for smoothly closed surface or 0.

double	GetVPeriod () const override
	Return period for smoothly closed surface or 0.

bool	GetPoleUMin () const override
	Whether a pole exists on parametric region boundary.

bool	GetPoleUMax () const override
	Whether a pole exists on parametric region boundary.

bool	GetPoleVMin () const override
	Whether a pole exists on parametric region boundary.

bool	GetPoleVMax () const override
	Whether a pole exists on parametric region boundary.

bool	IsPole (double u, double v, double paramPrecision=PARAM_PRECISION) const override
	Whether the point is a pole.

Functions for working at surface domain
Functions PointOn, Derive... of surfaces correct parameters when they are out of bounds of rectangular domain of parameters.
void	PointOn (double &u, double &v, MbCartPoint3D &) const override
	Calculate a point on the surface. More...

void	DeriveU (double &u, double &v, MbVector3D &) const override
	Calculate first derivative with respect to u.

void	DeriveV (double &u, double &v, MbVector3D &) const override
	Calculate first derivative with respect to v.

void	DeriveUU (double &u, double &v, MbVector3D &) const override
	Calculate second derivative with respect to u.

void	DeriveVV (double &u, double &v, MbVector3D &) const override
	Calculate second derivative with respect to v.

void	DeriveUV (double &u, double &v, MbVector3D &) const override
	Calculate second derivative.

void	DeriveUUU (double &u, double &v, MbVector3D &) const override
	Calculate third derivative.

void	DeriveUUV (double &u, double &v, MbVector3D &) const override
	Calculate third derivative.

void	DeriveUVV (double &u, double &v, MbVector3D &) const override
	Calculate third derivative.

void	DeriveVVV (double &u, double &v, MbVector3D &) const override
	Calculate third derivative.

void	TangentU (double &u, double &v, MbVector3D &) const override
	Calculate tangent vector in u.

void	TangentV (double &u, double &v, MbVector3D &) const override
	Calculate tangent vector in v.

void	Normal (double &u, double &v, MbVector3D &) const override
	Calculate normal.

void	NormalU (double &u, double &v, MbVector3D &) const override
	Calculate derivative of normal with respect to U.

void	NormalV (double &u, double &v, MbVector3D &) const override
	Calculate derivative of normal with respect to V.

Functions for working inside and outside the surface's domain
functions _PointOn, _Derive... of surfaces don't correct parameters when they are out of bounds of rectangular domain of parameters
void	_PointOn (double u, double v, MbCartPoint3D &) const override
	Calculate a point on the surface. More...

void	_DeriveU (double u, double v, MbVector3D &) const override
	Calculate first derivative with respect to u on extended surface.

void	_DeriveV (double u, double v, MbVector3D &) const override
	Calculate first derivative with respect to v on extended surface.

void	_DeriveUU (double u, double v, MbVector3D &) const override
	Calculate second derivative with respect to u on extended surface.

void	_DeriveVV (double u, double v, MbVector3D &) const override
	Calculate second derivative with respect to v on extended surface.

void	_DeriveUV (double u, double v, MbVector3D &) const override
	Calculate second derivative on extended surface.

void	_DeriveUUU (double u, double v, MbVector3D &) const override
	Calculate third derivative on extended surface.

void	_DeriveUUV (double u, double v, MbVector3D &) const override
	Calculate third derivative on extended surface.

void	_DeriveUVV (double u, double v, MbVector3D &) const override
	Calculate third derivative on extended surface.

void	_DeriveVVV (double u, double v, MbVector3D &) const override
	Calculate third derivative on extended surface.

void	_Normal (double u, double v, MbVector3D &) const override
	Calculate a normal on extended surface.

void	_NormalU (double u, double v, MbVector3D &) const override
	Calculate derivative of normal vector on extended surface.

void	_NormalV (double u, double v, MbVector3D &) const override
	Calculate derivative of normal vector on extended surface.

void	_NormalUU (double u, double v, MbVector3D &) const override
	Calculate second derivative of normal vector on extended surface.

void	_NormalUV (double u, double v, MbVector3D &) const override
	Calculate second derivative of normal vector on extended surface.

void	_NormalVV (double u, double v, MbVector3D &) const override
	Calculate second derivative of normal vector on extended surface.

Functions for get of the group of data inside and outside the surface's domain of parameters.
void	Explore (double &u, double &v, bool ext, MbCartPoint3D &pnt, MbVector3D &uDer, MbVector3D &vDer, MbVector3D uuDer, MbVector3D vvDer, MbVector3D uvDer, MbVector3D nor) const override
	Calculate point and derivatives of object for given parameters. More...

void	_PointNormal (double u, double v, MbCartPoint3D &pnt, MbVector3D &deru, MbVector3D &derv, MbVector3D &norm, MbVector3D &noru, MbVector3D &norv, MbVector3D &deruu, MbVector3D &dervv, MbVector3D &deruv) const override
	Calculate all derivatives at point. More...

Functions of moving along the surface
double	StepU (double u, double v, double sag) const override
	Calculate parameter step. More...

double	StepV (double u, double v, double sag) const override
	Calculate parameter step. More...

double	DeviationStepU (double u, double v, double angle) const override
	Calculate parameter step. More...

double	DeviationStepV (double u, double v, double angle) const override
	Calculate parameter step. More...

double	MetricStepU (double u, double v, double length) const override
	Calculate parameter step. More...

double	MetricStepV (double u, double v, double length) const override
	Calculate parameter step. More...

size_t	GetUCount () const override
	The number of splittings by u-parameter for a check of events.

size_t	GetVCount () const override
	The number of splittings by v-parameter for a check of events.

Common functions of surface
const MbSurface &	GetSurface () const override
	Get itself (it is overloaded only in CurveBoundedSurface).

const MbSurface &	GetBasisSurface () const override
	Get the base surface if exists or itself.

MbSurface &	SetSurface () override
	Get itself (it is overloaded only in CurveBoundedSurface).

MbSurface &	SetBasisSurface () override
	Get the base surface if exists or itself.

void	GetLimitPoint (ptrdiff_t num, MbCartPoint3D &) const override
	Calculate the boundary point. More...

void	GetLimitPoint (ptrdiff_t num, MbCartPoint &) const override
	Calculate the boundary two-dimensional point. More...

double	CurvatureU (double u, double v) const override
	Calculate line curvature along the direction of u. More...

double	CurvatureV (double u, double v) const override
	Calculate line curvature along the direction of v. More...

bool	IsSameBase (const MbSurface &) const override
	Whether a base surface is a copy of the base surface of the given object.

bool	IsPlanar (double accuracy=METRIC_EPSILON) const override
	Whether a surface is planar.

double	GetRadius () const override
	Get the physical radius of the object or null if it impossible. More...

double	GetFilletRadius (const MbCartPoint3D &) const override
	Get fillet radius if the surface is a fillet surface.

MbeParamDir	GetFilletDirection () const override
	Direction of fillet surface.

bool	GetCylinderAxis (MbAxis3D &) const override
	Get rotation axis of a surface.

bool	GetCenterLines (std::vector< MbCurve3D * > &clCurves) const override
	Get center lines of a surface.

void	ChangeCarrier (const MbSpaceItem &item, MbSpaceItem &init) override
	Changing of carrier. More...

bool	ChangeCarrierBorne (const MbSurface &item, MbSurface &init, const MbMatrix &matr) override
	Changing of carrier elements. More...

MbSplineSurface *	NurbsSurface (double u1, double u2, double v1, double v2, bool bmatch=false) const override
	Construct a NURBS copy of trimmed surface. More...

MbSurface *	NurbsSurface (const MbNurbsParameters &uParam, const MbNurbsParameters &vParam) const override
	Construct a NURBS copy of a surface. More...

MbSurface *	Offset (double d, bool same) const override
	Create an offset surface. More...

MbCurve3D *	CurveU (double v, MbRect1D *pRgn, bool bApprox=true) const override
	Construct spatial copy of the line v = const. More...

MbCurve3D *	CurveV (double u, MbRect1D *pRgn, bool bApprox=true) const override
	Construct spatial copy of the line u = const. More...

MbCurve3D *	CurveUV (const MbLineSegment &, bool bApprox=true) const override
	Construct spatial copy of line by parametric line. More...

MbeItemLocation	PointClassification (const MbCartPoint &, bool ignoreClosed=false) const override
	A point is located inside the region on a surface. More...

double	DistanceToBorder (const MbCartPoint &, double &eps) const override
	Calculate the parametric distance to the nearest boundary. More...

size_t	CurveClassification (const MbCurve &curve, SArray< double > &tcurv, SArray< MbVector > &dir) const override
	Determine points of intersections between the curve and the surface contours. More...

size_t	SegmentIntersection (const MbCurve &pCurve, SArray< double > &curveParams, double epsilon=Math::metricEpsilon) const
	Determine points of intersection with two-dimensional uv-curve. More...

bool	NearPointProjection (const MbCartPoint3D &p, double &u, double &v, bool ext, MbRect2D *uvRange=nullptr) const override
	Find the projection of a point onto the surface. More...

void	DirectPointProjection (const MbCartPoint3D &p, const MbVector3D &vect, SArray< MbCartPoint > &uv, bool ext, MbRect2D *uvRange=nullptr) const override
	Find all a point projection onto the surface along a vector in either of two directions. More...

void	CurveIntersection (const MbCurve3D &curv, SArray< MbCartPoint > &uv, SArray< double > &tt, bool ext0, bool ext, bool touchInclude=false) const override
	Determine points of intersection between a surface and a curve. More...

MbeNewtonResult	SilhouetteNewton (const MbVector3D &eye, bool perspective, const MbAxis3D *axis, MbeParamDir switchPar, double funcEpsilon, size_t iterLimit, double &u, double &v, bool ext) const override
	Solution of equation system for determination of surface silhouette points. For internal use only.

bool	IsSimilarToSurface (const MbSurface &surf, VERSION version, double precision=METRIC_PRECISION) const override
	Define whether the surfaces are similar for merge. More...

bool	IsSpecialSimilarToSurface (const MbSurface &surf, VERSION version, double precision=METRIC_PRECISION) const override
	Whether the surfaces are similar to merge. Special case. For internal use only.

bool	ProjectCurveOnSimilarSurface (const MbCurve3D &spaceCurve, const MbCurve &curve, const MbSurface &surfNew, MbCurve *&curveNew) const override
	Construction of projection of a surface curve on coincident surface. More...

bool	GetMatrixToSurface (const MbSurface &surf, MbMatrix &matr, VERSION version, double precision=METRIC_PRECISION) const override
	Get two-dimensional matrix of transformation from its parametric region to the parametric region of 'surf'. More...

ThreeStates	Salient () const override
	Determine whether the surface is convex.

bool	CreateNormalPlacements (const MbVector3D &axisZ, double angle, SArray< MbPlacement3D > &places, VERSION version=Math::DefaultMathVersion()) const override
	Construct normal placements of constructive planes.

bool	CreateTangentPlacements (const MbVector3D &axisZ, SArray< MbPlacement3D > &places) const override
	Construct tangent placements of constructive planes.

void	GetTesselation (const MbStepData &stepData, double u1, double u2, double v1, double v2, SArray< double > &uu, SArray< double > &vv) const override
	Determine a splitting of parametric region of a surface by verticals and horizontals. More...

double	ParamArea () const override
	Calculate the area of parameters domain.

size_t	GetUPairs (double v, SArray< double > &u) const override
	Calculate U-pairs by V. More...

size_t	GetVPairs (double u, SArray< double > &v) const override
	Calculate V-pairs by U. More...

void	CalculateGabarit (MbCube &) const override
	Calculate bounding box of surface. It is recommended to use GetGabarit.

void	CalculateLocalGabarit (const MbMatrix3D &, MbCube &) const override
	To compute bounding box in a local coordinate system. More...

void	SetLimit (double u1, double v1, double u2, double v2) override
	Set surface limits. For internal use only.

void	IncludePoint (double u, double v) override
	Include a point into domain. For internal use only.

double	GetParamDelta () const override
	Get the maximum increment of parameter.

double	GetParamPrice () const override
	Get the minimum distinguishable value of parameter.

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

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

double	GetUParamToUnit (double u, double v) const override
	Get increment of u-parameter, corresponding to the unit length in space.

double	GetVParamToUnit (double u, double v) const override
	Get increment of v-parameter, corresponding to the unit length in space.

void	GetParamsToUnit (double u, double v, double &uParam, double &vParam) const override
	Get increment of parameters, corresponding to the unit length in space.

void	CalculateSurfaceWire (const MbStepData &stepData, size_t beg, MbMesh &mesh, size_t uMeshCount=c3d::WIRE_MAX, size_t vMeshCount=c3d::WIRE_MAX) const override
	Calculate mesh. More...

size_t	GetUMeshCount () const override
	The the number of splittings in u-direction.

size_t	GetVMeshCount () const override
	The the number of splittings in v-direction.

bool	IsLineU () const override
	Check that all derivatives of surface with respect to u which have more than first order are equal to null.

bool	IsLineV () const override
	Check that all derivatives of surface with respect to v which have more than first order are equal to null.

MbContour &	MakeContour (bool sense) const override
	Return the bounding two-dimensional contour. More...

MbCurve &	MakeSegment (size_t i, bool sense) const override
	Return a segment of the bounding two-dimensional contour. More...

void	CalculateSurfaceGrid (const MbStepData &stepData, bool sense, MbGrid &grid) const override
	Approximation of a surface by triangular plates.

Functions of MbCurveBoundSurface surface
MbCurve &	MakeSegment (size_t number, size_t i, bool sense) const
	Get the two-dimensional boundary curve. More...

const MbCurve *	GetSegment (size_t number, size_t i) const
	Get the two-dimensional boundary curve. More...

MbCurve *	SetSegment (size_t number, size_t i)
	Get the two-dimensional boundary curve. More...

size_t	GetCurvesCount () const
	Get the count of contours.

size_t	GetSegmentsCount (size_t i) const
	Get the count of segments of i-th contour.

void	AddOuterContour ()
	Add a contour. More...

void	DeleteContour (MbContourOnSurface *cntr)
	Remove contour. More...

bool	ChangeContour (size_t index, MbContourOnSurface *cntr)
	Replace contour. More...

bool	ChangeSurface (const MbSurface &newsurf)
	Replace base surface.

void	NewBasisSurface ()
	Replace base surface with its copy.

void	CalculateUVLimitsOnly ()
	Calculate parametric bounds of surface without resetting the bounding box.

void	CalculateUVLimits ()
	Calculate parametric bounds of surface with recalculation of the bounding box.

void	SetBasisSurfaceUVLimits ()
	Extend parametric bounds of base surface. More...

void	CheckParam (double &u, double &v) const
	Check, whether the parameters are in parametric bounds of surface. More...

double	NormalizeCurvesOrientation ()
	Orient bounding contours. More...

void	DeleteCurves ()
	Remove all the contours.

void	AddCurve (MbContourOnSurface &contour)
	Add a contour. More...

void	AddCurve (MbContour &contour)
	Add a contour. More...

void	AddContour (MbContour &contour)
	Add a contour. More...

const MbContourOnSurface *	GetCurve (size_t ind) const
	Get contour bounding surface by its index. More...

const MbContourOnSurface *	_GetCurve (size_t ind) const
	Get contour bounding surface by its index. More...

MbContourOnSurface *	SetCurve (size_t ind)
	Get contour bounding surface by its index. More...

MbContourOnSurface *	_SetCurve (size_t ind)
	Get contour bounding surface by its index. More...

void	ReplaceOuterCurveBy (size_t ind)
	Move a curve with the 'ind' index to a zero position of the array.

bool	ChangeCurve2D (MbCurve &oldCrv, MbCurve *newCrv)
	Find two-dimensional curve and replace it with another one.

void	MergeSegments (double eps=Math::LengthEps)
	Merge two-dimensional segments in contours.

MbCurveBoundedSurface &	CurvesDuplicate () const
	Copy of object with old base surface.

bool	CheckTouchByContour (bool byU) const
	Check closeness by u or v using outer contour.

Public Member Functions inherited from MbSurface
virtual	~MbSurface ()
	Destructor.

virtual void	Accept (Visitor &visitor)
	Implementation of a function initializing a visit of an object.

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

MbeSpaceType	Family () const override
	Get family of objects.

double	DistanceToPoint (const MbCartPoint3D &) const override
	Determine the distance to the point. More...

void	AddYourGabaritTo (MbCube &c) 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 void	PrepareIntegralData (const bool forced) const
	Calculate temporary (mutable) data of an object. More...

void	CalculateMesh (const MbStepData &stepData, const MbFormNote &note, MbMesh &mesh) const override
	Build polygonal copy mesh. More...

MbProperty &	CreateProperty (MbePrompt name) const override
	Create your own property with the name.

void	GetBasisPoints (MbControlData3D &) const override
	Get control points of object.

void	SetBasisPoints (const MbControlData3D &) override
	Change the object by control points.

size_t	size () const
	Number of objects if object is interpreted as vector of objects.

const MbSurface *	operator[] (size_t) const
	An access operator.

virtual double	GetPeriod (ptrdiff_t i) const
	Return period. More...

virtual size_t	Periodicity () const
	Determine periodicity. More...

bool	IsPole (const MbCartPoint &uv, double paramPrecision=PARAM_PRECISION) const
	Whether the point is a pole.

virtual void	Explore (double &u, double &v, MbCartPoint3D &pnt, MbVector3D &uDer, MbVector3D &vDer) const
	Calculate point and first derivatives with respect to u and with respect to v. More...

virtual void	_TangentU (double u, double v, MbVector3D &) const
	Calculate tangent vector in u direction on extended surface.

virtual void	_TangentV (double u, double v, MbVector3D &) const
	Calculate tangent vector in v direction on extended surface.

virtual void	_NormalD (double u, double v, double du, double dv, MbVector3D &der) const
	Calculate derivative of normal vector at the point with the given parameters u and v along the line with the given direction (du,dv).

virtual void	_NormalDD (double u, double v, double du, double dv, MbVector3D &der) const
	Calculate second derivative of normal vector at the point with the given parameters u and v along the line with the given direction (du,dv).

double	SurfaceStep (const double &u, const double &v, bool alongU, const MbStepData &stepData) const
	Calculate parameter step. More...

MbCartPoint3D	GetLimitPoint (ptrdiff_t number) const
	Calculate the boundary point. More...

double	NormalCurvatureU (double u, double v) const
	Calculate a normal curvature of line along the direction of u. More...

double	NormalCurvatureV (double u, double v) const
	Calculate a normal curvature of line along the direction of v. More...

double	NormalCurvature (double u, double v, double du, double dv) const
	Calculate a normal curvature of surface. More...

bool	MeanGaussCurvature (double u, double v, double &mean, double &gauss) const
	Calculate the mean and the Gaussian curvature. More...

bool	MainCurvatures (double u, double v, double &c1, double &c2, double &du, double &dv) const
	Calculate the mean and the Gaussian curvature. More...

virtual bool	GetCentre (MbCartPoint3D &c) const
	Give the center of sphere surface.

virtual bool	IsSpinePeriodic () const
	Periodicity of the guide. More...

MbSplineSurface *	NurbsSurface (bool bmatch=false) const
	Construct a NURBS copy of a surface. More...

bool	NurbsParam (const MbNurbsParameters &tParam, bool uParam, double op1, double op2, bool &isClosedNurbs, double &epsilon, SArray< double > &params) const
	Prepare parameters for the transformation to NURBS surface. More...

void	CheckApproxPointParamsOpen (bool isU, double par, size_t degree, size_t pCount, SArray< double > &tList, SArray< double > &aKnots) const
	Chose points for approximation along the parameter. More...

void	CheckApproxPointParamsClosed (bool isU, double par, size_t degree, size_t pCount, SArray< double > &tList, SArray< double > &aKnots) const
	Chose points for approximation along the parameter. More...

virtual MbeItemLocation	PointRelative (const MbCartPoint3D &pnt, double eps=ANGLE_REGION) const
	Get point location relative to the surface. More...

size_t	SurfaceBorderIntersection (const MbCurve &curve, SArray< double > &tcurv, SArray< MbVector > &dir) const
	Determine points of intersections between the curve and the surface contours. More...

virtual MbeNewtonResult	PointProjectionNewton (const MbCartPoint3D &p, size_t iterLimit, double &u, double &v, bool ext) const
	Finding of point projection on surface. For internal use only.

virtual MbeNewtonResult	DirectPointProjectionNewton (const MbCartPoint3D &p, const MbVector3D &vect, size_t iterLimit, double &u, double &v, double &w, bool ext) const
	Finding of point projections to the surface in direction of the vector. For internal use only.

virtual bool	NearDirectPointProjection (const MbCartPoint3D &pnt, const MbVector3D &vect, double &u, double &v, bool ext, MbRect2D *uvRange=nullptr, bool onlyPositiveDirection=false) const
	Find the nearest point projection to the surface in the vector direction. More...

virtual MbeNewtonResult	CurveIntersectNewton (const MbCurve3D &curv1, double funcEpsilon, size_t iterLimit, double &u0, double &v0, double &t1, bool ext0, bool ext1) const
	Solution of equation system for determination of intersections between a surface and a curve. For internal use only.

virtual MbeNewtonResult	CurveTangentNewton (const MbCurve3D &curv1, double funcEpsilon, size_t iterLimit, double &u0, double &v0, double &t1, bool ext0, bool ext1) const
	Solution of equation system for determination of tangency between a surface and a curve. For internal use only.

virtual MbeNewtonResult	SurfaceIntersectNewton (const MbSurface &surf1, MbeParamDir switchPar, double funcEpsilon, size_t iterLimit, double &u0, double &v0, double &u1, double &v1, bool ext0, bool ext1) const
	Solution of equation system for determination of surfaces intersections. For internal use only.

virtual MbeNewtonResult	SurfaceTangentNewton (const MbSurface &surf1, MbeParamDir switchPar, double funcEpsilon, size_t iterLimit, double &u0, double &v0, double &u1, double &v1, bool ext0, bool ext1) const
	Solution of equation system for determination of surfaces tangency. For internal use only.

bool	ProjectCurveOnSimilarSurface (const MbCurve3D &spaceCurve, const MbCurve &curve, const MbSurface &surfNew, SPtr< MbCurve > &curveNew) const
	Construction of projection of a surface curve on coincident surface. More...

virtual double	DistanceToCurve (const MbCurve3D &curve, double &u, double &v, double &t, bool tCalc=false) const
	Calculate the nearest distance to a curve. More...

virtual double	DistanceToSurface (const MbSurface &surf1, double &u0, double &v0, double &u1, double &v1) const
	Calculate the nearest distance to a surface. More...

MbeNewtonResult	PlacementNewton (const MbVector3D &vec, double angle, MbeParamDir switchPar, size_t iterLimit, double &u, double &v) const
	Construct tangent placements of constructive planes. For internal use only.

bool	CreateVconstPlacements (const MbVector3D &axisZ, double angle, bool normalPlace, SArray< MbPlacement3D > &places) const
	Construct the normal or tangent placements on v-lines.

bool	CreateUconstPlacements (const MbVector3D &axisZ, double angle, bool normalPlace, SArray< MbPlacement3D > &places) const
	Construct the normal or tangent placements on u-lines.

MbeNewtonResult	IsoclinalNewton (const MbVector3D &dir, size_t iterLimit, double &u, double &v) const
	Determination of parameters of a surface isocline point. For internal use only.

virtual void	GetIsoclinal (const MbVector3D &nor, SArray< MbCartPoint > &uv) const
	Find all isoclines of a surface. More...

void	CalculateLocalGabarit (const MbMatrix3D &into, MbCube &cube) const override
	Calculate bounding box in the local coordinate system.

const MbCube &	GetGabarit () const
	Calculate bounding box of surface.

const MbCube &	Cube () const
	Return saved bounding box. It should be empty. It is recommended to use GetGabarit.

void	SetDirtyGabarit () const
	Make the bounding box empty. For internal use only.

void	CopyGabarit (const MbSurface &s, const MbVector3D *to=nullptr)
	Copy the bounding box from the copy. More...

double	GetGabDiagonal () const
	Calculate the diagonal of the bounding box.

void	CalculateRect (const MbPlacement3D &place, MbRect &rect) const
	Calculate the rectangular bounding box of a surface in the given plane. More...

MbCurve &	MakeCurve (size_t number1, size_t number2) const
	Return a segment of the bounding two-dimensional contour. More...

void	SetLimit (const MbRect &)
	Set surface limits. For internal use only.

virtual void	SetExtendedParamRegion (double u1, double v1, double u2, double v2)
	Set extended limits of surface. For internal use only.

double	GetMaxParamDeltaU () const
	Get the maximum increment of U-parameter.

double	GetMaxParamDeltaV () const
	Get the maximum increment of V-parameter.

double	GetUParamToUnit (const MbCartPoint &uv) const
	Get increment of u-parameter, corresponding to the unit length in space.

double	GetVParamToUnit (const MbCartPoint &uv) const
	Get increment of v-parameter, corresponding to the unit length in space.

double	GetUEpsilon () const
	Get the minimum distinguishable value of u-parameter. It corresponds to the length Math::metricEpsilon in space.

double	GetVEpsilon () const
	Get the minimum distinguishable value of v-parameter. It corresponds to the length Math::metricEpsilon in space.

double	GetUEpsilon (double u, double v) const
	Get the minimum distinguishable value of u-parameter. It corresponds to the length Math::metricEpsilon in space.

double	GetVEpsilon (double u, double v) const
	Get the minimum distinguishable value of v-parameter. It corresponds to the length Math::metricEpsilon in space.

double	GetURegion () const
	Get the minimum distinguishable value of u-parameter. It corresponds to the length Math::metricRegion in space.

double	GetVRegion () const
	Get the minimum distinguishable value of v-parameter. It corresponds to the length Math::metricRegion in space.

double	GetURegion (double u, double v) const
	Get the minimum distinguishable value of u-parameter. It corresponds to the length Math::metricRegion in space.

double	GetVRegion (double u, double v) const
	Get the minimum distinguishable value of v-parameter. It corresponds to the length Math::metricRegion in space.

void	CalculatePolygon (double minPar, double maxPar, double constPar, MbeParamDir dir, const MbStepData &stepData, MbPolygon3D &polygon) const
	Calculate polygon by u or v. More...

void	AddTesselation (const MbStepData &stepData, MbeParamDir dir, double u1, double u2, double v1, double v2, SArray< double > &uu, SArray< double > &vv) const
	Determine splitting of the surface parametric region according to direction. More...

virtual bool	IsRectangular () const
	Determine whether derivatives with respect to u and v are orthogonal.

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

virtual void	CheckSurfParams (double &u, double &v) const
	Check parameters. Analogue of the global function _CheckParams, optimized for caches usage. More...

bool	GetPlacement (MbPlacement3D *place, bool exact=false) const
	Get a local coordinate system of planar surface (or only a possibility of getting it).

bool	GetPlanePlacement (MbPlacement3D &place) const
	Get a local coordinate system if a surface is a plane.

bool	GetControlPlacement (MbPlacement3D &place, bool sameSense=true) const
	Construct a local coordinate system of a surface with origin at the middle point of base surface parametric limits. More...

bool	OrientPlacement (MbPlacement3D &place, bool normalSense=true) const
	Orient an axis X of a placement along the line of its intersection with surface.

bool	IsPointOn (const MbCartPoint3D &, double eps=METRIC_PRECISION) const
	Determine whether a point is located on a surface or not.

void	PointOn (MbCartPoint &uv, MbCartPoint3D &p) const
	Calculate the point on a surface inside the domain of surface.

void	_PointOn (const MbCartPoint &uv, MbCartPoint3D &p) const
	Calculate a point on a surface extension.

void	Normal (MbCartPoint &uv, MbVector3D &v) const
	Calculate the normal vector to a surface inside the domain of surface.

bool	GetMatrix (double xMin, double xMax, double yMin, double yMax, MbMatrix &matr) const
	Find a matrix of transformation for the curves on a surface when the parameterization is changed. More...

double	GetUMid () const
	The middle value of u.

double	GetVMid () const
	The middle value of v.

double	GetURange () const
	Parametric length by u.

double	GetVRange () const
	Parametric length by v.

void	GetRect (MbRect &r) const
	Get parametric bounding box.

void	GetRect (MbRect2D &r) const
	Get parametric bounding box.

Public Member Functions inherited from MbSpaceItem
virtual	~MbSpaceItem ()
	Destructor.

void	PrepareWrite () const
	Register object. More...

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
	MbCurveBoundedSurface (const MbCurveBoundedSurface &init, MbRegDuplicate *)
	Copy-constructor.

	MbCurveBoundedSurface (const MbCurveBoundedSurface *init)
	Copy-constructor of contours with the same surface (for CurvesDuplicate()).

bool	CreateRectTree () const
	Create and initialize the search tree.

void	DeleteRectTree () const
	Delete search tree.

void	DeleteSearchTree () const
	Delete search tree.

Protected Member Functions inherited from MbSurface
	MbSurface ()
	Constructor.

	MbSurface (const MbSurface &)
	Copy-constructor.

void	MoveGabarit (const MbVector3D &v)
	Move bounding box.

void	NormalCalculation (const MbVector3D &uDer, const MbVector3D &vDer, double u, double v, bool ext, MbVector3D &nor) const
	Normal calculation by derivatives uDer and vDer on point with parameters u, v.

double	StepAlong (double u, double v, double sag, bool alongU, double stepMinCoeff, const MbVector3D &der, const MbVector3D &sec) const
	Step calculation by sag.

double	DeviationStepAlong (double u, double v, double angle, bool alongU, const MbVector3D &der, const MbVector3D &sec) const
	Step calculation by normal deviation.

Protected Member Functions inherited from MbSpaceItem
	MbSpaceItem ()
	Default constructor.

Protected Member Functions inherited from MbRefItem
	MbRefItem ()
	Constructor without parameters.

Additional Inherited Members
Protected Attributes inherited from MbSurface
MbCube	cube
	Bounding box of surface. More...

Detailed Description

The surface bounded by curves.

The surface bounded by closed contours on surface MbContourOnSurface represents the general case of a surface.
Domain of parameters of such surface is the connected piece of the two-dimensional plane which is described by one external two-dimensional contour and some internal contours.
Contour is composite closed two-dimensional curve. Each two-dimensional contour together with base surface forms a contour on surface MbContourOnSurface which passes through one of surface edges. Each contour describes one closed boundary of surface.
First contour of 'curves' container describes external boundary and contains inside all the other contours describing internal cuts of a surface.
Internal contours can not be enclosed each other. Internal loops lie inside the external loop.
In case of absence of cuts inside surfaces internal contours are absent. Loops don't intersect each other and themselves.
Contours describing the surface domain can exceed the domain of base surface basisSurface. When it is out of domain bounds base surface basisSurface is extended according to its law of change as elementary surfaces for example or by tangent generally.
For the correct work of the method determining the position of parameters relative to surface boundary contours have to be oriented (NormalizeCurvesOrientation() method). If look towards to a surface normal with the oriented contours then the external contour of surface is oriented counterclockwise but internal contours of surface are oriented clockwise.
The surface bounded by curves is considered to be open by both parameters. For a periodic base surface the domain of periodic parameter of the surface bounded by curves can exceed the period of a base surface. Another surface bounded by curves can't be the base surface for surface bounded by curves. In this situation it changes to the initial base surface. The surface is used for creation of faces of solids in general case.

Member Function Documentation

◆ Duplicate()

MbSpaceItem& MbCurveBoundedSurface::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 MbCurveBoundedSurface::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 MbCurveBoundedSurface::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 MbCurveBoundedSurface::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 MbCurveBoundedSurface::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 MbCurveBoundedSurface::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 MbCurveBoundedSurface::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 MbCurveBoundedSurface::DistanceToPoint ( const MbCartPoint3D & point ) const

overridevirtual

Determine the distance to the point.

Parameters

[in] point - Point.

Returns: Distance to point

Implements MbSpaceItem.

◆ CalculateMesh()

void MbCurveBoundedSurface::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.

◆ GetProperties()

void MbCurveBoundedSurface::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 MbCurveBoundedSurface::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.

◆ IsUClosed()

bool MbCurveBoundedSurface::IsUClosed ( ) const

overridevirtual

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

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

Implements MbSurface.

◆ IsVClosed()

bool MbCurveBoundedSurface::IsVClosed ( ) const

overridevirtual

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

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

Implements MbSurface.

◆ IsUTouch()

bool MbCurveBoundedSurface::IsUTouch ( ) const

overridevirtual

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

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

Reimplemented from MbSurface.

◆ IsVTouch()

bool MbCurveBoundedSurface::IsVTouch ( ) const

overridevirtual

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

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

Reimplemented from MbSurface.

◆ IsUPeriodic()

bool MbCurveBoundedSurface::IsUPeriodic ( ) const

overridevirtual

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

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

Reimplemented from MbSurface.

◆ IsVPeriodic()

bool MbCurveBoundedSurface::IsVPeriodic ( ) const

overridevirtual

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

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

Reimplemented from MbSurface.

◆ PointOn()

void MbCurveBoundedSurface::PointOn	(	double &	u,
		double &	v,
		MbCartPoint3D &	p
	)		const

overridevirtual

Calculate a point on the surface.

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

Parameters

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

Implements MbSurface.

◆ _PointOn()

void MbCurveBoundedSurface::_PointOn	(	double	u,
		double	v,
		MbCartPoint3D &	p
	)		const

overridevirtual

Calculate a point on the surface.

Calculate a point on the surface including the outside area determination parameters.

Parameters

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

Reimplemented from MbSurface.

◆ Explore()

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

overridevirtual

Calculate point and derivatives of object for given parameters.

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

Parameters

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

Reimplemented from MbSurface.

◆ _PointNormal()

void MbCurveBoundedSurface::_PointNormal	(	double	u,
		double	v,
		MbCartPoint3D &	pnt,
		MbVector3D &	deru,
		MbVector3D &	derv,
		MbVector3D &	norm,
		MbVector3D &	noru,
		MbVector3D &	norv,
		MbVector3D &	deruu,
		MbVector3D &	dervv,
		MbVector3D &	deruv
	)		const

overridevirtual

Calculate all derivatives at point.

Values of point and derivatives are calculated an extended surface.

Parameters

[in]	u	- Parameter.
[in]	v	- Parameter.
[out]	pnt	- Point.
[out]	deru	- Derivative with respect to u.
[out]	derv	- Derivative with respect to v.
[out]	norm	- Normal.
[out]	noru	- Derivative of normal vector with respect to u.
[out]	norv	- Derivative of normal vector with respect to v.
[out]	deruu	- Second derivative with respect to u.
[out]	dervv	- Second derivative with respect to v.
[out]	deruv	- Second derivative with respect to u and v.

Reimplemented from MbSurface.

◆ StepU()

double MbCurveBoundedSurface::StepU	(	double	u,
		double	v,
		double	sag
	)		const

overridevirtual

Calculate parameter step.

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

Parameters

[in]	u	- A parameter defining a point on the surface.
[in]	v	- A parameter defining a point on the surface.
[in]	sag	- Maximum feasible sag value.

Returns: A sag value by parameter at given point.

Reimplemented from MbSurface.

◆ StepV()

double MbCurveBoundedSurface::StepV	(	double	u,
		double	v,
		double	sag
	)		const

overridevirtual

Calculate parameter step.

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

Parameters

[in]	u	- A parameter defining a point on the surface.
[in]	v	- A parameter defining a point on the surface.
[in]	sag	- Maximum feasible sag value.

Returns: A sag value by parameter at given point.

Reimplemented from MbSurface.

◆ DeviationStepU()

double MbCurveBoundedSurface::DeviationStepU	(	double	u,
		double	v,
		double	angle
	)		const

overridevirtual

Calculate parameter step.

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

Parameters

[in]	u	- A parameter defining a point on the surface.
[in]	v	- A parameter defining a point on the surface.
[in]	ang	- The maximum feasible deviation angle of tangent.

Returns: A sag value by parameter at given point.

Reimplemented from MbSurface.

◆ DeviationStepV()

double MbCurveBoundedSurface::DeviationStepV	(	double	u,
		double	v,
		double	angle
	)		const

overridevirtual

Calculate parameter step.

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

Parameters

[in]	u	- A parameter defining a point on the surface.
[in]	v	- A parameter defining a point on the surface.
[in]	ang	- The maximum feasible deviation angle of tangent.

Returns: A sag value by parameter at given point.

Reimplemented from MbSurface.

◆ MetricStepU()

double MbCurveBoundedSurface::MetricStepU	(	double	u,
		double	v,
		double	length
	)		const

overridevirtual

Calculate parameter step.

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

Parameters

[in]	u	- A parameter defining a point on the surface.
[in]	v	- A parameter defining a point on the surface.
[in]	len	- The given metric length.

Returns: A sag value by parameter at given point.

Reimplemented from MbSurface.

◆ MetricStepV()

double MbCurveBoundedSurface::MetricStepV	(	double	u,
		double	v,
		double	length
	)		const

overridevirtual

Calculate parameter step.

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

Parameters

[in]	u	- A parameter defining a point on the surface.
[in]	v	- A parameter defining a point on the surface.
[in]	len	- The given metric length.

Returns: A sag value by parameter at given point.

Reimplemented from MbSurface.

◆ GetLimitPoint() [1/2]

void MbCurveBoundedSurface::GetLimitPoint	(	ptrdiff_t	number,
		MbCartPoint3D &	pnt
	)		const

overridevirtual

Calculate the boundary point.

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

Parameters

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

Reimplemented from MbSurface.

◆ GetLimitPoint() [2/2]

void MbCurveBoundedSurface::GetLimitPoint	(	ptrdiff_t	number,
		MbCartPoint &	pnt
	)		const

overridevirtual

Calculate the boundary two-dimensional point.

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

Parameters

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

Reimplemented from MbSurface.

◆ CurvatureU()

double MbCurveBoundedSurface::CurvatureU	(	double	u,
		double	v
	)		const

overridevirtual

Calculate line curvature along the direction of u.

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

Parameters

[in]	u	- Parameter.
[in]	v	- Parameter.

Returns: Curvature.

Reimplemented from MbSurface.

◆ CurvatureV()

double MbCurveBoundedSurface::CurvatureV	(	double	u,
		double	v
	)		const

overridevirtual

Calculate line curvature along the direction of v.

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

Parameters

[in]	u	- Parameter.
[in]	v	- Parameter.

Returns: Curvature.

Reimplemented from MbSurface.

◆ GetRadius()

double MbCurveBoundedSurface::GetRadius ( ) const

overridevirtual

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

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

Reimplemented from MbSurface.

◆ ChangeCarrier()

void MbCurveBoundedSurface::ChangeCarrier	(	const MbSpaceItem &	item,
		MbSpaceItem &	init
	)

overridevirtual

Changing of carrier.

It is used for union of coplanar faces.

Reimplemented from MbSurface.

◆ ChangeCarrierBorne()

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

overridevirtual

Changing of carrier elements.

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

Parameters

[in]	item	- Changed surface
[in]	init	- New surface
[in]	matr	- Transition matrix from 'item' to 'init'

Returns: True if the operation succeeded
otherwise false.

Reimplemented from MbSurface.

◆ NurbsSurface() [1/2]

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

overridevirtual

Construct a NURBS copy of trimmed surface.

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

Parameters

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

Reimplemented from MbSurface.

◆ NurbsSurface() [2/2]

MbSurface* MbCurveBoundedSurface::NurbsSurface	(	const MbNurbsParameters &	uParam,
		const MbNurbsParameters &	vParam
	)		const

overridevirtual

Construct a NURBS copy of a surface.

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

Parameters

[in]	uParam	- Parameters of construction in u direction.
[in]	vParam	- Parameters of construction in v direction.

Returns: The constructed NURBS surface or nullptr in a case of failure.

Reimplemented from MbSurface.

◆ Offset()

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

overridevirtual

Create an offset surface.

Parameters

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

Reimplemented from MbSurface.

◆ CurveU()

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

overridevirtual

Construct spatial copy of the line v = const.

Parameters

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

Returns: Constructed curve.

Reimplemented from MbSurface.

◆ CurveV()

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

overridevirtual

Construct spatial copy of the line u = const.

Parameters

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

Returns: Constructed curve.

Reimplemented from MbSurface.

◆ CurveUV()

MbCurve3D* MbCurveBoundedSurface::CurveUV	(	const MbLineSegment &	segm,
		bool	bApprox = `true`
	)		const

overridevirtual

Construct spatial copy of line by parametric line.

Parameters

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

Reimplemented from MbSurface.

◆ PointClassification()

MbeItemLocation MbCurveBoundedSurface::PointClassification	(	const MbCartPoint &	pnt,
		bool	ignoreClosed = `false`
	)		const

overridevirtual

A point is located inside the region on a surface.

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

Parameters

[in]	pnt	- The investigated point.
[in]	ignoreClosed	- Whether to consider the surface closedness. If true, then the closedness is not considered.

Returns: Iloc_InItem - point is inside surface region.
iloc_OnItem - point belongs to surface boundary.
iloc_OutOfItem - point is outside surface region.

Reimplemented from MbSurface.

◆ DistanceToBorder()

double MbCurveBoundedSurface::DistanceToBorder	(	const MbCartPoint &	point,
		double &	epsilon
	)		const

overridevirtual

Calculate the parametric distance to the nearest boundary.

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

Parameters

[in]	point	- The investigated point.
[in]	epsilon	- Tolerance of getting a point onto a surface.

Returns: Returns the distance to the boundary.

Reimplemented from MbSurface.

◆ CurveClassification()

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

overridevirtual

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

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

Parameters

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

Returns: The number of intersections.

Reimplemented from MbSurface.

◆ SegmentIntersection()

size_t MbCurveBoundedSurface::SegmentIntersection	(	const MbCurve &	pCurve,
		SArray< double > &	curveParams,
		double	epsilon = `Math::metricEpsilon`
	)		const

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

Determine intersection points of a planar curve and contours.

Parameters

[in]	pCurve	- A curve.
[out]	curveParams	- An array of parameters on the curve.

Returns: The number of points.

◆ NearPointProjection()

bool MbCurveBoundedSurface::NearPointProjection	(	const MbCartPoint3D &	pnt,
		double &	u,
		double &	v,
		bool	ext,
		MbRect2D *	uvRange = `nullptr`
	)		const

overridevirtual

Find the projection of a point onto the surface.

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

Parameters

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

Returns: True - if there is found a projection which satisfies to all input conditions.

Reimplemented from MbSurface.

◆ DirectPointProjection()

void MbCurveBoundedSurface::DirectPointProjection	(	const MbCartPoint3D &	pnt,
		const MbVector3D &	vect,
		SArray< MbCartPoint > &	uv,
		bool	ext,
		MbRect2D *	uvRange = `nullptr`
	)		const

overridevirtual

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

Calculate all points of intersection with the ray outgoing from the given point 'p' by the direction 'vect'. If the range of parameters changing 'uvRange' is set, then it is required to find a projection in the given range. A range of parameters may not belong to the domain of a surface.

Parameters

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

Reimplemented from MbSurface.

◆ CurveIntersection()

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

overridevirtual

Determine points of intersection between a surface and a curve.

Parameters

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

Reimplemented from MbSurface.

◆ IsSimilarToSurface()

bool MbCurveBoundedSurface::IsSimilarToSurface	(	const MbSurface &	surf,
		VERSION	version,
		double	precision = `METRIC_PRECISION`
	)		const

overridevirtual

Define whether the surfaces are similar for merge.

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

Parameters

[in]	surf	- A given surface.
[in]	version	- Version of operation.
[in]	precision	- Precision of calculation.

Returns: True - if surfaces are similar.

Reimplemented from MbSurface.

◆ ProjectCurveOnSimilarSurface()

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

overridevirtual

Construction of projection of a surface curve on coincident surface.

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

Parameters

[in]	spaceCurve	- A given intersection curve.
[in]	curve	- A two-dimensional curve on a surface.
[in]	surfNew	- New surface.
[out]	curveNew	- An obtained two-dimensional curve on new surface.

Returns: True - if the operation succeeded.

Reimplemented from MbSurface.

◆ GetMatrixToSurface()

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

overridevirtual

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

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

Parameters

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

Returns: True - matrix is calculated.

Reimplemented from MbSurface.

◆ GetTesselation()

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

overridevirtual

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

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

Parameters

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

Reimplemented from MbSurface.

◆ GetUPairs()

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

overridevirtual

Calculate U-pairs by V.

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

Parameters

[in]	v	- Given parameters.
[out]	u	- A set of values of u.

Returns: The number of calculated values of u.

Reimplemented from MbSurface.

◆ GetVPairs()

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

overridevirtual

Calculate V-pairs by U.

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

Parameters

[in]	u	- Given parameters.
[out]	v	- A set of values of v.

Returns: The number of calculated values of v.

Reimplemented from MbSurface.

◆ CalculateLocalGabarit()

void MbCurveBoundedSurface::CalculateLocalGabarit	(	const MbMatrix3D &	into,
		MbCube &	cube
	)		const

overridevirtual

To compute bounding box in a local coordinate system.

To obtain bounding box of object with regar to a local coordinate system, sent box is made to be empty. Then it is computed bounding box of object in a local coordinate system \ and it is stored in box 'cube'

Parameters

[in]	into	- Transformation matrix from object's current coordinate system to a local coordinate system
[in,out]	cube	- Information on bounding box

Implements MbSpaceItem.

◆ CalculateSurfaceWire()

void MbCurveBoundedSurface::CalculateSurfaceWire	(	const MbStepData &	stepData,
		size_t	beg,
		MbMesh &	mesh,
		size_t	uMeshCount = `c3d::WIRE_MAX`,
		size_t	vMeshCount = `c3d::WIRE_MAX`
	)		const

overridevirtual

Calculate mesh.

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

Parameters

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

Reimplemented from MbSurface.

◆ MakeContour()

MbContour& MbCurveBoundedSurface::MakeContour ( bool sense ) const

overridevirtual

Return the bounding two-dimensional contour.

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

Parameters

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

Returns: Bounding contour.

Reimplemented from MbSurface.

◆ MakeSegment() [1/2]

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

overridevirtual

Return a segment of the bounding two-dimensional contour.

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

Parameters

[in]	i	- An index of segment.
[in]	sense	- Whether the contour direction coincides with the counterclockwise traverse direction.

Returns: A boundary curve.

Reimplemented from MbSurface.

◆ MakeSegment() [2/2]

MbCurve& MbCurveBoundedSurface::MakeSegment	(	size_t	number,
		size_t	i,
		bool	sense
	)		const

Get the two-dimensional boundary curve.

Makes a copy of a curve.

Parameters

[in]	number	- Index of curve
[in]	i	- Index of segment
[in]	sense	- Attribute of coincidence of curve direction

◆ GetSegment()

const MbCurve* MbCurveBoundedSurface::GetSegment	(	size_t	number,
		size_t	i
	)		const

Get the two-dimensional boundary curve.

Parameters

[in]	number	- Index of curve
[in]	i	- Index of segment

◆ SetSegment()

MbCurve* MbCurveBoundedSurface::SetSegment	(	size_t	number,
		size_t	i
	)

Get the two-dimensional boundary curve.

Parameters

[in]	number	- Index of curve
[in]	i	- Index of segment

◆ AddOuterContour()

void MbCurveBoundedSurface::AddOuterContour ( )

Add a contour.

Creates a contour bounding a surface if count of contours is equal to 0

◆ DeleteContour()

void MbCurveBoundedSurface::DeleteContour ( MbContourOnSurface * cntr )

Remove contour.

Removes the specified contour.

Parameters

[in] cntr - Contour to remove

◆ ChangeContour()

bool MbCurveBoundedSurface::ChangeContour	(	size_t	index,
		MbContourOnSurface *	cntr
	)

Replace contour.

Parameters

[in]	index	- Index of contour to change
[in]	cntr	- New contour

◆ SetBasisSurfaceUVLimits()

void MbCurveBoundedSurface::SetBasisSurfaceUVLimits ( )

Extend parametric bounds of base surface.

If it is possible, then parametric bounds of base surface are extended so
that the parametric bounds of surface bounded by curves are inside of them.

◆ CheckParam()

void MbCurveBoundedSurface::CheckParam	(	double &	u,
		double &	v
	)		const

inline

Check, whether the parameters are in parametric bounds of surface.

Parameters are checked for occurrence in region of permissible values of parameters for current surface.
If parameter is out of this region, then maximum or minimum permissible value is assigned to it.

◆ NormalizeCurvesOrientation()

double MbCurveBoundedSurface::NormalizeCurvesOrientation ( )

Orient bounding contours.

External contour is oriented counterclockwise, internal contours - clockwise.

Returns: Returns area of parametric region of surface.

Warning: In constructors isn't called as it is supposed that given the correct set of contours,
but function of orientation needs a lot of time for its execution.

◆ AddCurve() [1/2]

void MbCurveBoundedSurface::AddCurve ( MbContourOnSurface & contour )

Add a contour.

Add a contour. After addition it is necessary to call CalculateUVLimits().

◆ AddCurve() [2/2]

void MbCurveBoundedSurface::AddCurve ( MbContour & contour )

Add a contour.

Add a contour. After addition it is necessary to call CalculateUVLimits().

◆ AddContour()

void MbCurveBoundedSurface::AddContour ( MbContour & contour )

inline

Add a contour.

Add a contour. After addition it isn't necessary to call CalculateUVLimits().

◆ GetCurve()

const MbContourOnSurface* MbCurveBoundedSurface::GetCurve ( size_t ind ) const

inline

Get contour bounding surface by its index.

Get contour bounding surface by its index. With index checking.

◆ _GetCurve()

const MbContourOnSurface* MbCurveBoundedSurface::_GetCurve ( size_t ind ) const

inline

Get contour bounding surface by its index.

Get contour bounding surface by its index. Without index checking. It is recommended to use the GetCurve function with index checking.

◆ SetCurve()

MbContourOnSurface* MbCurveBoundedSurface::SetCurve ( size_t ind )

inline

Get contour bounding surface by its index.

Get contour bounding surface by its index. With index checking.

◆ _SetCurve()

MbContourOnSurface* MbCurveBoundedSurface::_SetCurve ( size_t ind )

inline

Get contour bounding surface by its index.

Get contour bounding surface by its index. Without index checking. It is recommended to use the SetCurve function with index checking.

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

surf_curve_bounded_surface.h

Public Member Functions

Protected Member Functions

Additional Inherited Members

Detailed Description

Member Function Documentation

◆ Duplicate()

◆ IsSame()

◆ SetEqual()

◆ IsSimilar()

◆ Transform()

◆ Move()

◆ Rotate()

◆ DistanceToPoint()

◆ CalculateMesh()

◆ GetProperties()

◆ SetProperties()

◆ IsUClosed()

◆ IsVClosed()

◆ IsUTouch()

◆ IsVTouch()

◆ IsUPeriodic()

◆ IsVPeriodic()

◆ PointOn()

◆ _PointOn()

◆ Explore()

◆ _PointNormal()

◆ StepU()

◆ StepV()

◆ DeviationStepU()

◆ DeviationStepV()

◆ MetricStepU()

◆ MetricStepV()

◆ GetLimitPoint() [1/2]

◆ GetLimitPoint() [2/2]

◆ CurvatureU()

◆ CurvatureV()

◆ GetRadius()

◆ ChangeCarrier()

◆ ChangeCarrierBorne()

◆ NurbsSurface() [1/2]

◆ NurbsSurface() [2/2]

◆ Offset()

◆ CurveU()

◆ CurveV()

◆ CurveUV()

◆ PointClassification()

◆ DistanceToBorder()

◆ CurveClassification()

◆ SegmentIntersection()

◆ NearPointProjection()

◆ DirectPointProjection()

◆ CurveIntersection()

◆ IsSimilarToSurface()

◆ ProjectCurveOnSimilarSurface()

◆ GetMatrixToSurface()

◆ GetTesselation()

◆ GetUPairs()

◆ GetVPairs()

◆ CalculateLocalGabarit()

◆ CalculateSurfaceWire()

◆ MakeContour()

◆ MakeSegment() [1/2]

◆ MakeSegment() [2/2]

◆ GetSegment()

◆ SetSegment()

◆ AddOuterContour()

◆ DeleteContour()

◆ ChangeContour()

◆ SetBasisSurfaceUVLimits()

◆ CheckParam()

◆ NormalizeCurvesOrientation()

◆ AddCurve() [1/2]

◆ AddCurve() [2/2]

◆ AddContour()

◆ GetCurve()

◆ _GetCurve()

◆ SetCurve()

◆ _SetCurve()